A body is moving with a constant speed v in a circle of radius r. Its angular acceleration is:
Correct answer: C. Zero
- A. vr
- B. v/r
- C. Zero
- D. vr2
Explanation
When a body is moving with a constant speed v in a circle of radius r, it is undergoing uniform circular motion. In uniform circular motion, the speed of the object is constant, but its direction is continuously changing. The angular acceleration (α) is defined as the rate of change of angular velocity (ω) with respect to time (t). The formula for angular acceleration (α) is given by: α = Δω/Δt In uniform circular motion, the angular velocity is constant because the speed is constant. Therefore, there is no change in angular velocity, and Δω is zero. As a result, the angular acceleration (α) is zero.
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