Question:

Average acceleration vector for a particle having uniform circular motion is

Updated On: Jul 6, 2022
  • A constant vector of magnitude $v^2/r $
  • a vector of magnitude $v^2/r$ directed normally to the plane of motion
  • null vector
  • equal to instantaneous acceleration vector at start of motion
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The Correct Option is C

Solution and Explanation

Average acceleration in uniform circular motion has zero magnitude and arbitrary direction so it is a null vector.
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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