The angular acceleration of a particle moving along a circular path with uniform speed is

  1. uniform but non-zero
  2. zero
  3. variable
  4. such as cannot be predicted from the given information

Answer (Detailed Solution Below)

Option 2 : zero
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Detailed Solution

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CONCEPT:

  • Circular Motion: Circular motion is a movement of an object along the circumference of a circle or rotation along a circular path.
    •  The force acts continuously at right angles to the velocity of the particle.
  • Uniform circular motion: The circular motion in which the speed of the particle remains constant is called uniform circular motion. In a uniform circular motionforce supplies the centripetal acceleration.
  • In a uniform circular motion, a body is experiencing a force in the inward direction.

F1 J.K Madhu 19.05.20 D1

  • Angular acceleration is the rate of change of angular velocity

\(\Rightarrow \alpha = \frac{Δ ω}{Δ t}\)

Where Δω = Change in angular velocity, Δt = Change in time

EXPLANATION :

  • During uniform motion, the change in angular velocity is zero i.e.,

\(\Rightarrow \Delta \omega = 0\)

  • Then the equation of angular acceleration becomes

\(\Rightarrow \alpha = \frac{\Delta \omega}{\Delta t} = \frac{0}{\Delta t} =0 \ m/s^{2}\)

  • Hence, option 2 is the answer
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