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 = 0.0320 s for a crankshaft with a                    radius of r1 = 3.25 cm to reach 1950 rpm. If the belt doesn't stretch or slip, calculate the angular acceleration, a2, of the larger camshaft, which has a                    radius of r2 = 6.50 cm, during this time period.

Explanation / Answer

w for the larger camshaft is:

1950*3.25 = w*6.5

=> w = 1950*3.25/6.5 =975rpm.

the angular acceleration is = (975*2*pi/60)/(0.0320) = 3190.68 rad/sec^2

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