Question:

For a particle performing uniform circular motion, choose the incorrect statement from the following.

Updated On: Jul 6, 2022
  • Magnitude of particle velocity (speed) remains constant
  • Particle velocity remains directed perpendicular to radius vector
  • Direction of acceleration keeps changing as particle moves
  • Magnitude of acceleration does not remain constant
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The Correct Option is D

Solution and Explanation

For a particle performing uniform circular motion, magnitude of the acceleration remains constant
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Concepts Used:

Motion in a Plane

It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions. 

Equations of Plane Motion

The equations of motion in a straight line are:

v=u+at

s=ut+½ at2

v2-u2=2as

Where,

  • v = final velocity of the particle
  • u = initial velocity of the particle
  • s = displacement of the particle
  • a = acceleration of the particle
  • t = the time interval in which the particle is in consideration