2. Problem 11.41P (HRW) A wheel A of radius cm is coupled by belt B to wheel C of radius cm. Wheel A increases its angular speed from rest at a uniform rate of rad/s2 . We have to find the time for wheel C to reach a rotational speed of rev/min, assuming that belt does not slip. |
Solution: Click For PDF Version Let at time t the angular speed of wheel A be and the angular speed of wheel C be . As the two wheels are connected by a belt which does not slip, the linear speeds at the rims of the two wheels has to be equal. This requirement gives the condition
Also, the angular acceleration of wheel A and the angular acceleration of wheel C will be similarly related, that is We are given that cm, cm, and = rad/s2. Therefore, We will now calculate the time in which the wheel C will acquire the angular speed As the wheel C is speeding up with constant acceleration the time in which it will attain this angular speed will be
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