A point on a rigid flywheel of radius 750 mm undergoes a uniform linear acceleration of 3 m/s². The flywheel’s angular acceleration is

Concept:
The relationship between linear acceleration (a) and angular acceleration (alpha) is given by the equation:

a = α  * r

where:

a is the linear acceleration,
α   is the angular acceleration, and
r is the radius.
We can rearrange the equation to solve for alpha:

α   = a / r
Calculation:
Given:

In this case, a = 3 m/s², and r = 750 mm = 0.75 m (since 1 m = 1000 mm).

α   = 3 m/s² / 0.75 m = 4 rad/s²

So, the correct answer is option 3.