Tüm alıştırma soruları

5215 soru

Tüm türler5,215 Çoktan seçmeli2,665 Çoklu seçim6 Doğru / Yanlış260 Sayısal512 Eşleştirme930 Sıralama396 Boşluk doldurma397 Kısa cevap49

Soru 2221Soru →

Read the scenario below and provide the missing numeric value.

Aşağıdaki boşlukları doldurun

An architect is designing a courtyard in the shape of a right triangle. The two perpendicular walkways that form the right angle measure

9

meters and

12

meters in length. The length of the diagonal path connecting their endpoints is meters.

Cevabı ve açıklamayı göster

Cevap

The diagonal path is

15

meters long.

By applying the Pythagorean theorem (

a^2 + b^2 = c^2

) with legs of

9

and

12

, we calculate

9^2 + 12^2 = 81 + 144 = 225

. The square root of

225

15

, which is the exact length of the diagonal path.

Adım Adım Çözüm

Identify the known sides of the right triangle.

The two perpendicular walkways represent the legs of the triangle (

a

and

b

), measuring

9

and

12

To accurately apply the Pythagorean theorem, the given measurements must be identified as either legs or the hypotenuse.

Apply the Pythagorean theorem (

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

The theorem is used to find the hypotenuse (

c

) when the lengths of both legs are known.

Square the lengths of both legs.

81 + 144 = c^2

Following mathematical order of operations by evaluating the exponents first.

Add the squared values and solve for

c

225 = c^2

, which means

c = \sqrt{225} = 15

Taking the square root of the sum yields the final straight-line length of the hypotenuse.

Anahtar Kavram

Using the Pythagorean theorem (

a^2 + b^2 = c^2

) to calculate the length of the hypotenuse when both legs are known.

Soru 2222Soru →

A supply room bin contains a mixture of $30$ electronic components. There are $12$ resistors, $10$ capacitors, and $8$ inductors. If a technician randomly selects one component from the bin, what is the probability that the selected component is an inductor?

\frac{4}{15}

\frac{4}{11}

\frac{11}{15}

\frac{15}{4}

Cevabı ve açıklamayı göster

Cevap: $\frac{4}{15}$

Cevap

The probability of selecting an inductor is

\frac{4}{15}

The correct probability is found by dividing the number of inductors (

8

) by the total number of components (

30

). This gives the fraction

\frac{8}{30}

, which simplifies to

\frac{4}{15}

by dividing both the numerator and the denominator by their greatest common factor,

2

Adım Adım Çözüm

Identify the total number of possible outcomes.

Total components =

30

The denominator for single event probability is always the total number of items available.

Identify the number of favorable outcomes.

Number of inductors =

8

The numerator represents the specific event being measured (selecting an inductor).

Set up the probability fraction and simplify.

Probability =

\frac{8}{30} = \frac{4}{15}

Probability is favorable outcomes over total outcomes, and the resulting fraction must be reduced to its simplest form.

Anahtar Kavram

Single Event Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Soru 2223Soru →

A flat circular roof of a silo has a circumference of $44$ meters. A sealant must be applied to the entire top surface. If one bucket of sealant covers exactly $30$ square meters, what is the minimum number of buckets that must be purchased to seal the roof? (Use $\pi = \frac{22}{7}$ )

Cevabı ve açıklamayı göster

Cevap: 6

Cevap

To find the correct number of buckets, we first derived the radius (

7

meters) from the given circumference (

44

meters). Next, we calculated the total area (

154

square meters). Finally, dividing the total area by the coverage per bucket (

30

square meters) gives a value of

5.133

. Because we cannot purchase a fraction of a bucket and need to cover the entire roof, we must round up to

6

full buckets.

Adım Adım Çözüm

Set up the circumference formula

C = 2\pi r

using the given values to solve for the radius.

44 = 2 \times \frac{22}{7} \times r

, which simplifies to

44 = \frac{44}{7} \times r

. Multiplying both sides by

\frac{7}{44}

gives

r = 7

meters.

The radius is required to calculate the surface area of the circular roof.

Calculate the area of the circular roof using the formula

A = \pi r^2

A = \frac{22}{7} \times (7)^2 = \frac{22}{7} \times 49 = 154

square meters.

The total area determines the total amount of sealant that is needed.

Determine the number of buckets needed by dividing the total area by the coverage per bucket.

154 \div 30 = 5

with a remainder of

4

(or

5.133...

). Since partial buckets cannot be purchased, you must round up to

6

buckets.

To seal the entire surface area without leaving any sections exposed, you must purchase enough full buckets to cover the total area.

Anahtar Kavram

Calculating the area of a circle from its circumference and applying the result to a real-world scenario requiring discrete quantities.

Soru 2224Soru →

A canvas tarp is cut into the shape of a right triangle. The area of the tarp is $60$ square feet, and its shortest leg measures $8$ feet. What is the perimeter of the tarp in feet?

23

40

46

60

Cevabı ve açıklamayı göster

Cevap: $40$

Cevap

40

To find the perimeter, all three sides of the right triangle are needed. Using the given area (

60

) and shortest leg (

8

), the length of the other leg is found with the area formula

A = \frac{1}{2}bh

, yielding

15

feet. Next, the Pythagorean theorem (

8^2 + 15^2 = c^2

) reveals the hypotenuse is

17

feet. Summing the three sides (

8 + 15 + 17

) gives the correct perimeter of

40

feet.

Adım Adım Çözüm

Find the length of the other leg using the area formula for a triangle,

A = \frac{1}{2}bh

60 = \frac{1}{2}(8)b \Rightarrow 60 = 4b \Rightarrow b = 15

feet.

The perimeter requires all three side lengths, so the missing leg must be calculated first.

Use the Pythagorean theorem (

a^2 + b^2 = c^2

) to find the hypotenuse.

8^2 + 15^2 = c^2 \Rightarrow 64 + 225 = c^2 \Rightarrow 289 = c^2 \Rightarrow c = 17

feet.

The hypotenuse is the third side needed to find the complete outer boundary of the right triangle.

Calculate the perimeter by summing the three side lengths.

P = 8 + 15 + 17 = 40

feet.

The perimeter of any polygon is the total length of its outer boundary.

Anahtar Kavram

Calculating missing dimensions of a right triangle using area and the Pythagorean theorem to find the perimeter.

Tahmini Süre:1m 0s

Soru 2225Soru →

A technician performs a starter current draw test on a vehicle with a fully charged battery. During cranking, the starter motor turns the engine over very slowly while drawing $320\text{ amperes}$ , which is significantly higher than the manufacturer specification of $130\text{--}160\text{ amperes}$ . Which of the following is the most likely cause of this condition?

Corroded battery cable terminals creating excessive circuit resistance

A shorted alternator diode allowing charging current to bypass the stator

Worn starter armature bushings allowing the rotor to drag against the field poles

An open starter solenoid pull-in coil preventing plunger movement

Cevabı ve açıklamayı göster

Cevap: Worn starter armature bushings allowing the rotor to drag against the field poles

Cevap

Worn starter armature bushings allowing the rotor to drag against the field poles

When a starter motor experiences heavy mechanical resistance or internal physical dragging—such as when worn armature bushings allow the spinning armature to contact the magnetic pole shoes—the motor cannot develop normal rotational speed. Because a slower-turning motor generates significantly less counter-electromotive force (CEMF), current flow through the starter windings spikes far above specification while cranking speed remains sluggish.

Adım Adım Çözüm

Analyze the starting system test parameters and symptoms

The engine cranks unusually slowly while drawing

320\text{ A}

, which is more than double the specified normal draw of

130\text{--}160\text{ A}

Identifying whether a starting failure involves high current or low current separates electrical resistance problems from mechanical binding or short circuits.

Evaluate the relationship between electric motor speed, mechanical load, and current draw

When an electric starter motor is restricted mechanically or experiences internal friction, it cannot reach operating speed and fails to generate adequate counter-electromotive force (CEMF), causing current draw to spike drastically.

Ohm's law and motor principles dictate that severe mechanical resistance (such as an armature dragging against pole shoes) or a shorted winding produces high amperage alongside slow cranking speed.

Eliminate competing electrical and charging faults

High circuit resistance causes low current draw, open solenoid coils cause zero current draw, and alternator diodes do not operate the starter motor.

Only mechanical binding in the starter/engine or shorted starter windings explains high amperage combined with slow cranking.

Anahtar Kavram

Starter Current Draw Diagnosis and Motor Principles

Tahmini Süre:1m 0s

Soru 2226Soru →

A technician needs to assemble threaded steel conduit sections that have smooth, round cylindrical surfaces without flat hexagonal sides. Which type of wrench is specifically designed with hardened, serrated jaws that pivot to bite into round stock when turning force is applied?

Flare-nut wrench

Pipe wrench

Box-end wrench

Adjustable open-end wrench

Cevabı ve açıklamayı göster

Cevap: Pipe wrench

Cevap

Pipe wrench

The pipe wrench is engineered specifically for round stock and piping. Its upper hook jaw is loosely mounted in a threaded collar, allowing it to pivot slightly so its sharp, hardened teeth bite deeper into the pipe surface as rotational force increases.

Adım Adım Çözüm

Analyze the workpiece geometry described in the scenario.

The workpiece is a smooth, round cylindrical pipe lacking flat hexagonal drive surfaces.

Standard wrenches require flat parallel surfaces or multi-point hex corners to transfer turning force.

Evaluate the gripping mechanism of specialized hand wrenches.

A pipe wrench (Stillson wrench) possesses hardened, directional teeth cut into pivoting jaws.

When turned in the operating direction, the upper hook jaw rocks slightly in its housing to wedge and dig into the curved steel surface, providing non-slip leverage.

Anahtar Kavram

Identifying specialized wrench designs and selecting a pipe wrench for round cylindrical stock.

Tahmini Süre:45s

Soru 2227Soru →

When the brake pedal is released, what component or mechanism pulls the disc brake caliper piston slightly back into its bore?

Coil return springs attached across the friction pads

The elastic recovery of the square-cut O-ring seal

Engine vacuum routed through the power brake booster

Centrifugal force created by the rotating brake rotor

Cevabı ve açıklamayı göster

Cevap: The elastic recovery of the square-cut O-ring seal

Cevap

The elastic recovery of the square-cut O-ring seal

In a hydraulic disc brake caliper, the square-cut rubber seal deforms into a trapezoidal shape as fluid pressure drives the piston toward the rotor. When hydraulic pressure is vented upon releasing the brake pedal, the elasticity of the rubber seal pulls the piston back a fraction of an inch to maintain proper running clearance.

Adım Adım Çözüm

Analyze how hydraulic pressure moves a disc brake caliper piston during brake application.

Pressurized brake fluid enters the caliper bore and pushes the piston outward, causing the square-cut rubber seal in the caliper groove to elastically distort in the direction of movement.

The square-cut seal provides a high-pressure fluid seal while simultaneously storing mechanical elastic energy.

Determine how the piston retracts once the brake pedal is released and line pressure vents back to the master cylinder.

The square-cut seal springs back to its original relaxed shape, pulling the piston back approximately 0.005 to 0.010 inches into the bore.

This slight retraction eliminates pad drag against the spinning rotor without requiring external mechanical return springs.

Anahtar Kavram

Disc brake caliper piston retraction through square-cut seal elastic deflection

Tahmini Süre:45s

Soru 2228Soru →

A military transport convoy departs from a base and travels on a straight route at a constant speed of $30$ mph. Exactly $15$ minutes later, a tactical vehicle is dispatched along the same route to deliver updated orders, traveling at a constant speed of $45$ mph. How many minutes will it take for the tactical vehicle to catch up to the convoy from the time the tactical vehicle departs?

300

Cevabı ve açıklamayı göster

Cevap: 30

Cevap

The correct answer accurately calculates the

7.5

-mile head start distance (

30 \text{ mph} \times 0.25 \text{ hours}

) and divides it by the

15

mph relative speed (

45 \text{ mph} - 30 \text{ mph}

) to find a catch-up time of

0.5

hours, which equals

30

minutes.

Adım Adım Çözüm

Convert the convoy's head start time from minutes to hours.

15 \text{ minutes} = 0.25 \text{ hours}

Vehicle speeds are given in miles per hour (mph), so the time must be converted to hours for unit consistency.

Calculate the distance the convoy traveled during its head start.

30 \text{ mph} \times 0.25 \text{ hours} = 7.5 \text{ miles}

This establishes the initial distance gap that the tactical vehicle needs to close.

Determine the relative catch-up speed of the tactical vehicle.

45 \text{ mph} - 30 \text{ mph} = 15 \text{ mph}

Because the vehicles are traveling in the same direction, you subtract the slower speed from the faster speed to find the rate at which the gap is closing.

Calculate the time required to close the gap in hours.

7.5 \text{ miles} \div 15 \text{ mph} = 0.5 \text{ hours}

Time equals distance divided by rate (

t = \frac{d}{r}

Convert the catch-up time back to minutes.

0.5 \text{ hours} \times 60 \text{ minutes/hour} = 30 \text{ minutes}

The question specifically asks for the time in minutes.

Anahtar Kavram

Catch-up scenarios require calculating the initial distance gap and dividing it by the relative speed (the difference in speeds) between the two moving objects.

Soru 2229Soru →

An aviation engineer is evaluating the intersection of two flight paths on a radar display. The flight paths are represented by two straight intersecting lines. Two adjacent angles formed by this intersection have measures of $(8x)^\circ$ and $(2x + 10)^\circ$ . What is the measure of the smaller of these two adjacent angles?

26^\circ

28^\circ

34^\circ

44^\circ

Cevabı ve açıklamayı göster

Cevap: $44^\circ$

Cevap

The smaller angle measures

44^\circ

Adjacent angles on a straight line form a linear pair and are supplementary, meaning their sum is 180 degrees. Setting up the equation 8x + 2x + 10 = 180 simplifies to 10x + 10 = 180. Subtracting 10 from both sides leaves 10x = 170, and dividing by 10 yields x = 17. Substituting x back into the expressions gives angle measures of 8(17) = 136 degrees and 2(17) + 10 = 44 degrees. The question asks for the smaller angle, which is 44 degrees.

Adım Adım Çözüm

Recognize that adjacent angles formed by intersecting lines create a linear pair.

The angles are supplementary, meaning their sum is

180^\circ

This geometric rule provides the basis for setting up the equation.

Set up an equation representing the sum of the two angles.

8x + (2x + 10) = 180

This translates the geometric relationship into an algebraic expression.

Combine the like terms on the left side of the equation.

10x + 10 = 180

Simplifying the equation is the first step in isolating the variable x.

Solve for x by subtracting 10 from both sides and then dividing by 10.

10x = 170 \Rightarrow x = 17

These standard algebraic operations isolate x and determine its exact value.

Substitute x = 17 back into both original expressions to find the angle measures.

8(17) = 136^\circ

and

2(17) + 10 = 34 + 10 = 44^\circ

The question asks for a specific angle measure, not the variable x.

Identify the smaller of the two calculated angles.

44^\circ

The prompt specifically requests the measure of the smaller angle.

Anahtar Kavram

Linear pairs of angles form a straight line and are supplementary, meaning they add up to 180 degrees.

Tahmini Süre:1m 15s

Soru 2230Soru →

In automotive starting and charging systems, internal electromechanical subcomponents perform dedicated physical and electrical roles during vehicle operation. Match each component on the left with its primary operational function on the right.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

Alternator slip rings match with providing continuous electrical contact to conduct field current into the rotor; Starter solenoid shift lever matches with pivoting to push the starter pinion gear into flywheel engagement; Alternator full-wave rectifier matches with converting multi-phase alternating current into direct current; Starter overrunning clutch matches with allowing the pinion to freewheel when engine speed exceeds starter motor speed.

Each component is correctly paired with its dedicated operational function: slip rings maintain brush contact to energize the rotor, the shift lever drives the pinion into mesh with the flywheel, the rectifier diodes convert AC to DC, and the overrunning clutch protects the starter armature from over-speeding when the engine starts.

Adım Adım Çözüm

Identify the electromechanical function of alternator slip rings.

Matched to conducting field current into the spinning rotor via brush contact.

Slip rings provide continuous rotational electrical conduction to energize the rotor's magnetic field.

Determine the mechanical movement produced by the starter solenoid shift lever.

Matched to pushing the starter drive pinion gear forward to mesh with the flywheel ring gear.

The shift fork transfers the linear motion of the energized solenoid plunger into axial displacement of the starter drive.

Identify the electronic role of the alternator full-wave rectifier.

Matched to converting multi-phase alternating current (

AC

) from the stator into direct current (

DC

Vehicle batteries and electronic control modules require steady direct current, necessitating rectification of the alternator's internal AC output.

Analyze the protective purpose of the starter overrunning clutch.

Matched to allowing the drive pinion to freewheel when the engine starts and drives faster than the starter motor.

Once the engine fires, it spins significantly faster than the starter; the one-way clutch prevents the engine from back-driving the starter armature at destructive RPM.

Anahtar Kavram

Starting and Charging System Electromechanical Components

Tahmini Süre:1m 0s

Soru 2231Soru →

When performing precision layout on a sheet metal blank, a technician needs to create small, shallow reference dimples along scribed lines to seat divider legs and preserve layout points without distorting the workpiece. Which tool is specifically designed for this purpose?

Center punch

Prick punch

Drift punch

Scriber

Cevabı ve açıklamayı göster

Cevap: Prick punch

Cevap

Prick punch

A prick punch has a sharp, narrow point ground at a 30-to-60-degree angle, making it ideal for placing small, precise indentations along layout lines. These shallow marks keep layout lines visible if the layout fluid wears off and provide exact pivot points for dividers without distorting the metal.

Adım Adım Çözüm

Analyze the layout requirement in the shop scenario.

The task requires creating shallow, precise locating dimples along layout lines to anchor divider compass points and preserve reference marks.

Accurate sheet metal layout requires fine reference marks that do not distort the metal or alter line locations.

Evaluate the tip geometry and intended application of layout and striking tools.

A prick punch is ground to a narrow, sharp angle (

30^\circ

60^\circ

) that penetrates easily under light hammer force to produce small, clean indentations, whereas a center punch is ground to a blunter

90^\circ

angle for drilling starts.

The narrow point of the prick punch centers precisely on scribed intersecting lines without displacing excess metal.

Anahtar Kavram

Distinction between layout marking tools and machining hole-starting punches

Tahmini Süre:1m 0s

Soru 2232Soru →

An apprentice mechanic is organizing four metric combination wrenches on a tool tray. In what sequence should the mechanic arrange these wrenches from the smallest nominal size to the largest nominal size?

Öğeleri doğru sıraya koymak için sürükleyin

Cevabı ve açıklamayı göster

Cevap

The correct sequence from smallest to largest is the

8\text{ mm}

wrench, followed by the

10\text{ mm}

wrench, the

13\text{ mm}

wrench, and finally the

17\text{ mm}

wrench.

Metric wrench sizes directly represent the width across the fastener flats in whole millimeters. Sorting them from smallest to largest follows standard numerical order:

8\text{ mm}

10\text{ mm}

13\text{ mm}

, and

17\text{ mm}

Adım Adım Çözüm

Identify the nominal millimeter size stamped on each wrench.

The four values are

13\text{ mm}

8\text{ mm}

17\text{ mm}

, and

10\text{ mm}

Metric hand tools are measured across the parallel flats of the fastener head in millimeters.

Sort the millimeter dimensions in ascending numerical order.

8\text{ mm} < 10\text{ mm} < 13\text{ mm} < 17\text{ mm}

Smaller millimeter numbers indicate narrower jaw openings and smaller fastener applications.

Anahtar Kavram

Metric Wrench Sizing and Identification

Tahmini Süre:45s

Soru 2233Soru →

A technician is performing a front disc brake pad replacement on a passenger vehicle. Place the following service steps in the correct chronological order from first to last.

Öğeleri doğru sıraya koymak için sürükleyin

Cevabı ve açıklamayı göster

Cevap

The correct service sequence begins with safely raising the vehicle and removing the wheel, followed by unbolting and hanging the caliper, compressing the caliper piston into its bore, installing the new hardware and brake pads into the bracket, and finishes with reinstalling the caliper and pumping the brake pedal.

A disc brake service requires a logical progression: gaining access by lifting the vehicle and removing the wheel, detaching and safely supporting the caliper, retracting the hydraulic piston to accommodate thicker new linings, seating new hardware and friction pads into the bracket, and finally reassembling the caliper and pumping the brake pedal to re-establish proper pad contact.

Adım Adım Çözüm

Elevate the vehicle securely and remove the wheel assembly.

Exposes the brake rotor, caliper, and mounting bracket.

Direct access to the wheel-end braking hardware is required before any mechanical service can take place.

Remove the caliper guide pin fasteners and suspend the caliper with a wire hook.

The caliper is detached from the rotor without hanging by its flexible rubber brake hose.

Brake hoses are vulnerable to internal damage and must never support the dead weight of a heavy caliper.

Push the caliper piston completely back into its cylinder bore.

Maximizes the opening width inside the caliper housing.

Unworn replacement brake pads have full friction material thickness and will not fit inside an extended caliper.

Replace the anti-rattle hardware clips and seat the new brake pads into the caliper bracket.

New friction pads are properly positioned against the rotor friction surfaces.

Fresh clips prevent pad vibration, rattling noise, and binding during brake operation.

Fasten the caliper back over the bracket and pump the brake pedal multiple times.

Forces the piston outward until the pads contact the rotor, restoring firm hydraulic pedal response.

Failing to pump the pedal leaves excessive piston-to-pad clearance, causing the pedal to drop to the floor on initial application.

Anahtar Kavram

Disc Brake Pad Service and Safety Procedures

Tahmini Süre:1m 15s

Soru 2234Soru →

A supply cabinet contains $10$ identical safety helmets, of which $2$ are yellow and $8$ are white. A construction worker randomly selects a helmet, records its color, returns it to the cabinet, and then randomly selects a second helmet. What is the probability of selecting a yellow helmet both times? Express your answer as a decimal.

Cevabı ve açıklamayı göster

Cevap: 0.04

Cevap

0.04

Since the helmet is replaced after the first draw, the two events are independent. The probability of drawing a yellow helmet is

\frac{2}{10}

(or

0.2

). To find the probability of drawing a yellow helmet twice in a row, multiply the probabilities of the two independent events:

0.2 \times 0.2 = 0.04

Adım Adım Çözüm

Find the probability of the first event.

\frac{2}{10}

0.2

There are

2

yellow helmets out of

10

total.

Find the probability of the second event.

\frac{2}{10}

0.2

Because the helmet was replaced, the total number and the number of yellow helmets remain the same.

Calculate the compound probability.

0.04

For independent events, multiply the individual probabilities together:

0.2 \times 0.2 = 0.04

Anahtar Kavram

The probability of two independent events occurring is the product of their individual probabilities:

P(A \text{ and } B) = P(A) \times P(B)

Soru 2235Soru →

In a standard automotive drum brake assembly, when does the self-adjusting star wheel mechanism typically engage to compensate for brake shoe lining wear?

During high-speed forward deceleration when hydraulic line pressure reaches its peak

When the brakes are applied while the vehicle is moving in reverse

Continuously through square-cut seal flex during every forward stop

Only when the mechanical parking brake cable tension is manually reset

Cevabı ve açıklamayı göster

Cevap: When the brakes are applied while the vehicle is moving in reverse

Cevap

Applying the brakes while the vehicle is moving in reverse actuates the drum brake self-adjusting star wheel mechanism.

In most automotive drum brake systems, the self-adjuster cable and lever assembly is actuated when applying the brakes while moving in reverse. The reverse rotation of the drum shifts the brake shoes away from the anchor pin, pulling the adjusting lever up over the star wheel teeth; upon release, spring tension ratchets the star wheel to adjust shoe-to-drum clearance.

Adım Adım Çözüm

Identify the operating principle of duo-servo drum brake self-adjusters.

Recognize that self-adjusting mechanisms rely on shoe movement relative to the anchor pin during specific vehicle maneuvers.

Duo-servo systems utilize reverse rotation forces to create the mechanical travel necessary to pull the adjusting lever.

Analyze how vehicle directional travel affects drum brake shoe positioning.

When braking in reverse, the primary shoe pushes against the adjusting screw, shifting the secondary shoe away from the upper anchor pin.

This movement extends the adjuster cable or link, pulling the adjuster pawl upward.

Determine the condition required for the pawl to advance the star wheel teeth.

If shoe wear creates sufficient travel, releasing the brake allows the pawl spring to pull down and turn the star wheel, expanding the shoes.

The mechanism automatically maintains the proper clearance between the brake linings and the brake drum surface.

Anahtar Kavram

Drum Brake Self-Adjusting Mechanism Operation

Tahmini Süre:45s

Soru 2236Soru →

A worker is tightening an $8\text{ mm}$ hexagonal bolt on a piece of shop machinery. Which wrench should be selected to ensure a proper fit and avoid rounding the fastener head?

8\text{ mm}

metric wrench

5/16\text{ in}

fractional SAE wrench

3/8\text{ in}

fractional SAE wrench

1/4\text{ in}

fractional SAE wrench

Cevabı ve açıklamayı göster

Cevap: An $8\text{ mm}$ metric wrench

Cevap

8\text{ mm}

metric wrench

Metric fasteners require corresponding metric tools. An

8\text{ mm}

metric wrench fits snugly across the flats of an

8\text{ mm}

bolt, ensuring full torque transfer without slipping or damaging the fastener.

Adım Adım Çözüm

Identify the fastener measurement standard and nominal size.

The fastener is identified as an

8\text{ mm}

metric hexagonal bolt.

Fasteners require tools that match their exact dimensional system (metric vs. fractional SAE).

Select the wrench designed specifically for that size and unit standard.

8\text{ mm}

metric wrench provides an exact surface-to-surface fit.

Using fractional SAE tools on metric fasteners introduces loose tolerances that round off the fastener corners under torque.

Anahtar Kavram

Metric and SAE Fastener Sizing Compatibility

Tahmini Süre:40s

Soru 2237Soru →

A mechanic measures the diameter of an engine valve stem using a standard 0 to 1-inch outside micrometer. On the sleeve, the edge of the thimble has uncovered the major graduation mark 3 and 2 additional minor graduation lines. On the thimble, graduation line 18 aligns precisely with the sleeve index line. What is the total measured diameter of the valve stem in inches?

Cevabı ve açıklamayı göster

Cevap: 0.368

Cevap

The total measured diameter of the valve stem is

0.368\text{ inches}

A standard imperial micrometer sleeve displays major marks at increments of

0.100\text{ in}

and minor subdivision marks at increments of

0.025\text{ in}

. Uncovering the major mark 3 gives

0.300\text{ in}

, and uncovering 2 minor marks adds

0.050\text{ in}

, creating a sleeve subtotal of

0.350\text{ in}

. Adding the aligned thimble reading of 18 thousandths (

0.018\text{ in}

) results in a total diameter of

0.300 + 0.050 + 0.018 = 0.368\text{ inches}

Adım Adım Çözüm

Determine the value of the major divisions uncovered on the sleeve.

The number 3 represents

3 \times 0.100\text{ in} = 0.300\text{ in}

Each numbered graduation line along the sleeve index line represents one-tenth of an inch (

0.100\text{ in}

Determine the value of the visible subdivision lines on the sleeve.

Two minor lines represent

2 \times 0.025\text{ in} = 0.050\text{ in}

Each space between major tenths is subdivided into four increments, each representing twenty-five thousandths of an inch (

0.025\text{ in}

Determine the value of the graduation on the thimble aligned with the sleeve index line.

Graduation 18 represents

18 \times 0.001\text{ in} = 0.018\text{ in}

The circumference of the thimble is divided into 25 equal increments, each representing one-thousandth of an inch (

0.001\text{ in}

Add the sleeve major reading, sleeve minor reading, and thimble reading together.

0.300\text{ in} + 0.050\text{ in} + 0.018\text{ in} = 0.368\text{ in}

The complete measurement is the sum of all three distinct scale components.

Anahtar Kavram

Reading a standard imperial outside micrometer by summing sleeve tenths (

0.100\text{ in}

), sleeve quarter-tenths (

0.025\text{ in}

), and thimble thousandths (

0.001\text{ in}

Tahmini Süre:1m 0s

Soru 2238Soru →

While driving at cruising speeds, a motorist observes that the red battery symbol on the dashboard turns on and remains illuminated. What condition in the charging circuit causes this warning light to activate?

The battery has reached maximum charge capacity and is redirecting excess current into the starter motor.

The alternator output voltage has fallen below battery voltage, causing the vehicle electrical load to drain the battery.

The starter solenoid has remained continuously engaged with the flywheel ring gear while driving at highway speed.

The voltage regulator has switched the alternator output from direct current to alternating current to cool the stator windings.

Cevabı ve açıklamayı göster

Cevap: The alternator output voltage has fallen below battery voltage, causing the vehicle electrical load to drain the battery.

Cevap

The alternator output voltage has fallen below battery voltage, causing the vehicle electrical load to drain the battery.

The dashboard charging system warning light is wired between the ignition feed and the alternator field/diode output circuit. When the engine is running and the alternator is charging properly, voltage on both sides of the indicator bulb is balanced (near 14 volts), preventing current flow. If the alternator fails or its output falls below battery voltage, battery voltage becomes higher than alternator output voltage, creating a potential difference that pushes current through the bulb to ground, illuminating the light to signal a charging failure.

Adım Adım Çözüm

Analyze the function of the automotive charging system warning lamp circuit.

The warning light is connected between the ignition switch circuit (battery voltage) and the alternator output circuit (alternator voltage).

Understanding the electrical connection between the power sources explains how potential difference controls the bulb.

Determine the voltage relationship across the warning bulb during normal operation versus failure.

Under normal operation, both sides have equal charging voltage (around 14 volts), so zero current flows through the bulb. When alternator output drops below battery voltage, current flows from the battery through the bulb to ground, turning it on.

Current only flows through an indicator bulb when a voltage potential difference exists across its terminals.

Identify the diagnostic meaning of the illuminated battery symbol.

The illuminated warning light indicates that the alternator is no longer supplying the vehicle's electrical demands or charging the battery.

This alerts the driver that the engine and vehicle accessories are operating solely on reserve battery power.

Anahtar Kavram

Charging system indicator circuit operation and alternator versus battery power distribution

Tahmini Süre:1m 0s

Soru 2239Soru →

A scout rover leaves a forward operating base and travels along a straight path at a constant speed of $40$ mph. Exactly $30$ minutes later, a heavily armored command vehicle leaves the same base along the same path at a constant speed of $55$ mph to overtake the rover. How many minutes will the command vehicle need to drive before it catches up to the scout rover?

Cevabı ve açıklamayı göster

Cevap: 80; 80 minutes; 80 mins; eighty

Cevap

The scout rover establishes a 20-mile lead during its 30-minute (0.5 hour) head start. The command vehicle closes this 20-mile gap at a relative speed of 15 mph (55 mph - 40 mph). It takes 4/3 hours to close the gap, which converts to exactly 80 minutes.

Adım Adım Çözüm

Convert the rover's head start time from minutes to hours.

30

minutes is equal to

0.5

hours.

Speed is given in miles per hour (mph), so time must be in hours to accurately calculate the distance.

Calculate the head start distance of the scout rover.

40 \text{ mph} \times 0.5 \text{ hours} = 20 \text{ miles}

This establishes the initial gap that the command vehicle must close.

Calculate the relative catch-up speed.

55 \text{ mph} - 40 \text{ mph} = 15 \text{ mph}

Since both vehicles are traveling in the same direction, subtract the slower speed from the faster speed to find how fast the gap is closing.

Calculate the time required to catch up in hours.

20 \text{ miles} \div 15 \text{ mph} = \frac{4}{3} \text{ hours}

Time equals distance divided by rate.

Convert the catch-up time back to minutes.

\frac{4}{3} \times 60 = 80 \text{ minutes}

The question specifically asks for the driving time in minutes.

Anahtar Kavram

Relative Motion and Catch-Up Scenarios

Soru 2240Soru →

A rectangular garden has a perimeter of $56$ meters. The length of the garden is $4$ meters greater than its width. If a $3$ -meter wide paved path is built entirely inside the garden along all four of its borders, what is the area, in square meters, of the remaining unpaved section of the garden?

Cevabı ve açıklamayı göster

Cevap: 60

Cevap

The area of the remaining unpaved section of the garden is 60 square meters.

The original dimensions of the garden are found to be 12 meters and 16 meters based on the given perimeter and side relationships. The inner unpaved section has dimensions of 12 - 6 = 6 meters and 16 - 6 = 10 meters because the 3-meter path cuts into both sides of each dimension. Multiplying these inner dimensions yields a final area of 60 square meters.

Adım Adım Çözüm

Use the perimeter formula to find the outer length and width of the garden.

Width = 12 meters, Length = 16 meters.

The relationship between length and width (L = W + 4) and the total perimeter formula

2L + 2W = 56

allows us to find the exact dimensions.

Calculate the dimensions of the inner unpaved area by subtracting the path's width.

Inner width = 6 meters, Inner length = 10 meters.

The 3-meter path runs along all four borders, meaning the path's width must be subtracted twice (3 + 3 = 6 meters) from both the outer length and the outer width.

Calculate the final area of the inner unpaved section.

60 square meters.

The area of a rectangle is found by multiplying its length by its width (

10 \times 6

Anahtar Kavram

Solving for unknown dimensions using perimeter, and determining the area of a smaller inscribed rectangle by correctly subtracting border widths.

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