Question

A particle is in a general circular motion (tangential speed is not constant). Which one of the following statements is always correct. Explain reasoning for each. 1. The velocity of the particle is constant. 2. The velocity of the particle is tangent to the circle. 3. The acceleration of the particle is constant. 4. The acceleration of the particle is toward the center of the circle.

Answer 1

Answer:

2. The velocity of the particle is tangent to the circle

Explanation:

1. The velocity of the particle is constant.

Incorrect

Reason : Since the tangential speed is not constant, hence the velocity of the particle is not constant.

2. The velocity of the particle is tangent to the circle.

Correct

Reason : In circular motion, the direction of velocity is always given by the tangent to the circle.

3. The acceleration of the particle is constant.

Incorrect

Reason : The tangential speed of the particle is not constant which in turn keeps changing the centripetal acceleration of the particle. hence the acceleration of the particle is not constant.

4. The acceleration of the particle is toward the center of circle.

Incorrect.