Most gasoline engines in today\\\'s automobiles are belt driven. This means that

Question

Most gasoline engines in today's automobiles are belt driven. This means that the crankshaft, a rod which rotates and drives the pistons, is timed to the camshaft, the mechanism which actuates the valves, by means of a belt. Starting from rest, assume it takes t = 0.0760 s for a crankshaft with a radius of r1 = 5.25 cm to reach 1150 rpm. If the belt doesn't stretch or slip, calculate the angular acceleration, ?2, of the larger camshaft, which has a radius of r2 = 10.5 cm, during this time period.

Explanation / Answer

1150rpm = 120.43 rad/s a1 = 120.43/0.0760 rad/s2 = 1584.58 rad/s2 a1/a2 = r2/r1 1584.58/a2 = 2 a2 = 792.29 rad/s2

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