A technician is analyzing the thread specifications of four different fasteners to determi… — Armed Services Vocational Aptitude Battery (ASVAB)

A technician is analyzing the thread specifications of four different fasteners to determine their linear travel. Assuming all fasteners have single-start threads, arrange them in order from the LEAST to the GREATEST linear distance they will travel into a fixed base for each full $360^\circ$ rotation.

1A machine screw with $20$ threads per inch (TPI)
2A wood screw with a pitch of $1/16$ inch
3A lag bolt with $10$ threads per inch (TPI)
4A power screw with a lead of $0.125$ inches

Cevap

The correct sequence from least to greatest linear travel per rotation is: the machine screw (20 TPI), the wood screw (1/16 inch pitch), the lag bolt (10 TPI), and finally the power screw (0.125 inch lead).

The sequence correctly calculates and compares the linear travel per rotation for each fastener. By converting all specifications to decimal inches (

0.05

in,

0.0625

in,

0.10

in, and

0.125

in), they can be accurately ordered from least to greatest.

Adım Adım Çözüm

Define the relationship between threads per inch (TPI), pitch, lead, and linear travel.

For single-start threads, the linear travel per rotation equals the lead, which is equal to the pitch. Pitch can be calculated as

1 \div \text{TPI}

Establishing the mathematical formulas is necessary to compare different types of thread specifications on a single scale.

Calculate the decimal linear travel for the fasteners specified in TPI.

The machine screw travels

1 \div 20 = 0.05

inches per rotation. The lag bolt travels

1 \div 10 = 0.10

inches per rotation.

Converting TPI into decimal pitch allows for direct numerical comparison.

Convert the fractional pitch of the wood screw to a decimal.

The wood screw travels

1 \div 16 = 0.0625

inches per rotation. The power screw is already given as

0.125

inches.

Decimals provide a consistent format for sequential ordering.

Compare all decimal values and arrange them from least to greatest.

0.05

(machine screw)

< 0.0625

(wood screw)

< 0.10

(lag bolt)

< 0.125

(power screw).

Finalizes the sequence according to the explicit instructions in the stem.

Anahtar Kavram

The linear distance a screw travels in one full rotation is determined by its lead. For single-start threads, the lead equals the pitch, and the pitch is the reciprocal of the threads per inch (

P = 1 / \text{TPI}

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