Physics Homework Question?

Question

A wheel 31 cm in diameter accelerates uniformly from 235 rpm to 370 rpm

 

How far will a point on the edge of the wheel have traveled in this time?

 

Comments

Provide time taken to accelerate a wheel from 235 rpm to 370 rpm.

Answer 1

in 7 seconds

Answer 2

Step 1:

The diameter of a wheel is .

The wheel uniformly accelerates from to .

The initial angular velocity is rad/sec.

The final angular velocity is rad/sec.

The time is .

The angular acceleration is .

.

Step 2:

The angular displacement is .

.

The total distance around the circumference is .

Substitute and .

.

Solution:

.