Question

A sphere of radius 2m rolls on a floor the
acceleration of the centre of mass of sphere is 4 m/s2
Angular acceleration a about its centre of mass is
4 m/s?
(1) 2 rad/s2
(3) 3 rad/s2
(2) 4 rad/s2
(4) 1 rad/s2​

Answer 1

Answer:

Explanation:

a=R *alpha

alpha =angular acceleration

R =radius

Answer 2

Answer:

The angular acceleration is 2 rad/s.

(1) is correct option.

Explanation:

Given that,

Acceleration = 4 m/s²

Radius = 2 m

Angular acceleration :

Angular acceleration is equal to the acceleration divided by radius.

We need to calculate the angular acceleration

Using formula of angular acceleration

$\alpha=\dfrac{a}{R}$

Where, a = acceleration

R = radius

Put the value into the formula

$\alpha=\dfrac{4}{2}$

$\alpha=2\ rad/s$

Hence, The angular acceleration is 2 rad/s.