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 = 3.25 cm to reach 1850 rpm. If the belt doesn't stretch or slip, calculate the angular acceleration, 2, of the larger camshaft, which has a radius of r2 = 6.50 cm, during this time period.

Explanation / Answer

so alpha for smaller one is

alpha = w/t = 1850*2*pi/60/0.076= 2549 rad/s^2

so for belt, a = alpha r1 = 2549*0.0325= 82.8 m/s^2

so for larger one, alpha = a/r2 = 82.8/0.065=1275 rad/s^2

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