A small rubber wheel is used to drive a large pottery wheel. Thetwo wheels are m

Question

A small rubber wheel is used to drive a large pottery wheel. Thetwo wheels are mounted so that their circular edges touch. Thesmall wheel has a radius of 2.0 cm and accelerates at the rate of7.4 rad/s2, and it is incontact with the pottery wheel (radius 25.0 cm) without slipping. (a) Calculate the angular acceleration of thepottery wheel.
1rad/s2

(b) Calculate the time it takes the pottery wheel to reach itsrequired speed of 58 rpm.
2 s (a) Calculate the angular acceleration of thepottery wheel.
1rad/s2

(b) Calculate the time it takes the pottery wheel to reach itsrequired speed of 58 rpm.
2 s

Explanation / Answer

a) the wheel, in rad, is accelerating at 2/25ths the rate of thedriver, so 2/25 * 7.5 rad/s2 b) 95 rpm is 95*Pi/60 radians per second. v=at so 95*3.14159/60=5.0t or t = 95 * 3.14159 / (60*5.0)= 0.99484 seconds

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