Question

A body is revolving with a uniform speed $v$ in a circle of radius $r$. The angular acceleration of the body is (a) $\frac{v}{r}$ (b) Zero (c) $\frac{v^{2}}{r}$ along the radius and towards the centre (d) $\frac{v^{2}}{r}$ along the radius and away from the centre

Name: Problem 97, Chapter 3: Genius Physics (Class 11) - For IIT-JEE and CBSE
Uploaded: 2022-02-25T06:04:57-08:00
Duration: 1 min 19 s
Channel: Varsha Aggarwal
Description: A body is revolving with a uniform speed v in a circle of radius r. The angular acceleration of the body is (a) (v)/(r) (b) Zero (c) (v^2)/(r) along the radius and towards the centre (d) (v^2)/(r) along the radius and away from the centre

   A body is revolving with a uniform speed $v$ in a circle of radius $r$. The angular acceleration of the body is
(a) $\frac{v}{r}$
(b) Zero
(c) $\frac{v^{2}}{r}$ along the radius and towards the centre
(d) $\frac{v^{2}}{r}$ along the radius and away from the centre

Genius Physics (Class 11) - For IIT-JEE and CBSE

Pradeep Kshetrapal 1st Edition

Chapter 3, Problem 97

Instant Answer

Solved by Expert Varsha Aggarwal

02/25/2022

Step 1

This means that the angular velocity $\omega$ of the body is constant. Show more…

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A body is revolving with a uniform speed $v$ in a circle of radius $r$. The angular acceleration of the body is (a) $\frac{v}{r}$ (b) Zero (c) $\frac{v^{2}}{r}$ along the radius and towards the centre (d) $\frac{v^{2}}{r}$ along the radius and away from the centre

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Key Concepts

Uniform Circular Motion

Uniform circular motion refers to the movement of an object along a circular path at a constant speed. Even though the speed remains constant, the continuous change in direction means there is a centripetal acceleration directed towards the center of the circle, although the magnitude of the speed does not change.

Angular Acceleration

Angular acceleration is defined as the rate of change of angular velocity with respect to time. In the case of uniform circular motion, since the object’s angular velocity remains constant, the angular acceleration is zero.

Relationship Between Linear and Angular Quantities

The relationship between linear (tangential) speed and angular speed is given by the equation v = r?, where v is the tangential speed, r is the radius of the circle, and ? is the angular speed. This relationship is fundamental for linking the linear and rotational aspects of circular motion.

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