Question

Q :When angular velocity changes with respect to time then?

(a) An angular acceleration is produced

(b) A linear acceleration is produced

(c) It constitute a couple

(d) A linear velocity is produced​

Answer 1

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Actually Welcome to the Concept of the Rotational Motion.

Since, we know that any body fixed at an central axis, rotating around it due to influence of an torque always retains an angular velocity.

Hence, we know that,

$\frac{d(theta)}{dt} = w$

where, w = angular velocity.

now again differentiate it, we will get as,

$\frac{dw}{dt} = \alpha$

hence, here alpha is the Angular Acceleration.

thus the correct option is,

a.) An angular Acceleration is produced.

Answer 2

When angular velocity changes with respect to time then a) AN ANGULAR ACCELERATION IS PRODUCED.

• In circular motion, angular velocity is an axial vector which represents the rotational analogue of linear velocity.

• We know that change in linear velocity with respect to time produces linear acceleration.

• Similarly, $\rm inst antaneous$ change of angular velocity with respect to time produces angular acceleration.

Mathematically, it is denoted as :

$\boxed{ \alpha = \dfrac{d \omega}{dt} =\dfrac{d^{2}\theta}{dt^{2}}}$