A brass ball is tied to a thin wire and swung so as to move uniformly

A brass ball is tied to a thin wire and swung so as to move uniformly in a horizontal circle. Which of the following statements in this regard is / are true?

  • 1. The ball moves with constant velocity
  • 2. The ball moves with constant speed
  • 3. The ball moves with constant acceleration
  • 4. The magnitude of the acceleration of the ball is constant

Select the correct answer using the code given below:

1 only
1 and 3
1, 2 and 4
2 and 4 only
This question was previously asked in
UPSC NDA-2 – 2015
In uniform circular motion, the speed (magnitude of velocity) is constant, but the velocity itself changes direction constantly. The acceleration (centripetal acceleration) is directed towards the center and its direction also changes constantly, but its magnitude is constant.
Statement 1 is false because the direction of velocity changes constantly, so velocity is not constant. Statement 2 is true because “uniformly” implies constant speed. Statement 3 is false because the direction of centripetal acceleration is constantly changing. Statement 4 is true because the magnitude of centripetal acceleration (v²/r) is constant when speed (v) and radius (r) are constant.
For uniform circular motion, the speed is constant, but there is always an acceleration directed towards the center of the circle, known as centripetal acceleration. This acceleration changes the direction of the velocity vector, thus keeping the object moving in a circle.