Question

Difficulty: MediumEngine Principles and Internal Components

A four-stroke internal combustion engine operates with its crankshaft turning at a constant speed of 3200 RPM3{}200\text{ RPM}. At what rotational speed does the engine's camshaft turn?

  1. A
    6400 RPM6{}400\text{ RPM}
  2. B
    3200 RPM3{}200\text{ RPM}
  3. 1600 RPM1{}600\text{ RPM}Answer
  4. D
    800 RPM800\text{ RPM}

Answer

1600 RPM1{}600\text{ RPM}, because the camshaft rotates at half the rotational speed of the crankshaft in a four-stroke engine.
In a four-stroke internal combustion engine, completing all four phases of the cycle (intake, compression, power, and exhaust) requires two complete rotations (720∘720^\circ) of the crankshaft. During this entire sequence, each intake and exhaust valve needs to open and close only once, which corresponds to one complete rotation (360∘360^\circ) of the camshaft. Because of this mechanical relationship, the timing drive gears or sprockets ensure the camshaft always turns at exactly half the speed of the crankshaft. Dividing the crankshaft speed of 3200 RPM3{}200\text{ RPM} by 22 yields a camshaft speed of 1600 RPM1{}600\text{ RPM}.

Step-by-Step Solution

1
Determine the rotational relationship between the crankshaft and camshaft in a four-stroke engine.
The crankshaft must complete 2 full revolutions (720∘720^\circ) for all four strokes (intake, compression, power, exhaust) to occur, while the camshaft completes 1 full revolution (360∘360^\circ) to open each valve once per cycle.
Establishing the 1:21:2 speed ratio between the camshaft and crankshaft is necessary to calculate operating speeds.
2
Calculate the camshaft rotational speed using the given crankshaft speed.
Camshaft Speed = 3200 RPM2=1600 RPM\frac{3{}200\text{ RPM}}{2} = 1{}600\text{ RPM}.
Dividing the crankshaft speed by 22 determines the exact operating speed of the camshaft.

Key Concept

Camshaft-to-crankshaft 1:2 rotational drive ratio in a four-stroke internal combustion engine
Estimated Time:45s
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