Solution Found!
A small rubber wheel is used to drive a large pottery wheel, and they are mounted so
Chapter 8, Problem 20P(choose chapter or problem)
Problem 20P
A small rubber wheel is used to drive a large pottery wheel, and they are mounted so that their circular edges touch. The small wheel has a radius of 2.0 cm and accelerates at the rate of 7.2 rad/s2, and it is in contact with the pottery wheel (radius 25.0 cm) without slipping. Calculate (a) the angular acceleration of the pottery wheel, and (b) the time it takes the pottery wheel to reach its required speed of 65 rpm.
Questions & Answers
QUESTION:
Problem 20P
A small rubber wheel is used to drive a large pottery wheel, and they are mounted so that their circular edges touch. The small wheel has a radius of 2.0 cm and accelerates at the rate of 7.2 rad/s2, and it is in contact with the pottery wheel (radius 25.0 cm) without slipping. Calculate (a) the angular acceleration of the pottery wheel, and (b) the time it takes the pottery wheel to reach its required speed of 65 rpm.
ANSWER:
Solution 20 P
Step 1 of 2
a.)
We have to calculate the angular acceleration of the pottery wheel.
The tangential acceleration of both the wheels small and large are same.
where,
radius of small wheel = 2.0 cm
radius of large wheel = 25.0 cm
angular acceleration of small wheel
= 7.2 rad/s2
Thus,
= 0.576
= 0.58 rad/s2
b.)