Correct Answer - Option 1 : zero
The correct answer is option 1) i.e. zero
CONCEPT:
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Uniform circular motion is where a moving object traces a circular path with constant speed.
- Under this type of motion, a particle covers equal angles (θ) in equal durations of time t.
The angular velocity of the object is given by:
\(ω = \frac{d\theta }{dt}\).
- The angular velocity is in the direction in which the right-hand thumb points when fingers are curled in the direction of rotation.
EXPLANATION:
-
Angular acceleration is defined as the rate of change of angular velocity with respect to time.
The angular acceleration is given by:
\(α = \frac{dω }{dt}\).
- In a uniform circular motion, the angular velocity is constant.
- Hence the change in angular velocity, dω = 0
Thus, angular acceleration, \(α = \frac{dω }{dt} = \frac{0}{dt} = 0\)
