Question

A 0.60 m radius wheel starting from rest rotates through an angle θ. If it is accelerating at a constant angular acceleration of 2.40 rad/s², determine

     (a) the angular velocity in rad/s of the wheel at the end of a 5.00 second interval.

     (b) how many revolutions has the wheel rotated by the end of the 5.00 second interval.

Answer 1

Given data:

Radius of wheel = 0.60 m

Starts from rest (initial velocity) =

Angular acceleration =

Concept: From Equation of constant angular acceleration

(a) angular velocity in rad/s of the wheel at the end of a 5.00 second interval.

at t = 5 seconds ; angular speed will be

(b) revolutions has the wheel rotated by the end of the 5.00 second interval.

We know that one revolution of wheel is completed by( 2π ) radian rotation

therefore number of revolution (N)