A body moves with constant angular velocity on a circle. Magnitude of angular acceleration is:
Correct answer: C. Zero
- A. rω2
- B. Constant
- C. Zero
- D. rω
Explanation
Explanation is given below. If a body moves with constant angular velocity on a circle, then its angular acceleration is zero. This is because acceleration is defined as the rate of change of velocity with respect to time. In circular motion, the velocity of the body is constantly changing as it moves around the circle, but the magnitude of the velocity remains constant. Therefore, the angular acceleration of the body is zero. Mathematically, we can express this as: Angular acceleration (α) = dω/dt where ω is the angular velocity of the body. Since the angular velocity is constant, the derivative of ω with respect to time is zero, so the angular acceleration is also zero.
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About Angular Velocity
Angular velocity describes how quickly angular displacement changes with time, with ω = Δθ/Δt and units of radians per second. Questions relate angular and linear motion through v = rω, use the direction given by the right hand rule, and distinguish angular velocity from angular acceleration and ordinary frequency.
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