Question

A body is moving in a circular motion of constant radius, then

• A. The net acceleration of the body may be towards the centre of circle
• B. The net acceleration of the body may not be towards the centre of circle
• C. The velocity of the body is varying
• D. The direction of the acceleration of the body is varying

Answer 1

Answer: (A), (B), (C), (D)

The direction of the acceleration of the body is varying

Circular motion:

When an object moves in a circumference of a circular path, we can say it is undergoing circular motion.

Explanations for the options:

1. A body moving at constant speed in circular path experiences an acceleration directed towards the centre of the circular path. The acceleration is called centripetal acceleration and is provided by a centripetal force. In case of uniform circular motion , acceleration is always acting toward the centre of the circular path. Option(A) is correct.
2. In non uniform circular motion, speed is not constant. Hence velocity varies in magnitude also. Thus, net acceleration need not be acting towards centre. Thus option (B) is correct.
3. In circular motion, direction of motion varies at every point in the circle. Thus, velocity also varies at all points. So, option(C) is correct.
4. As the path is circular, the direction constantly changes so the velocity is changing constantly. As the velocity is changing , direction of acceleration is also changing. So, option (D) is correct.

Final Answer: Option (A), (B), (C) and (D) are correct.