The angular velocity of the minute hand of a clock is:
Correct answer: C. 2π/3600 rads-1
- A. 2π/60 rads-1
- B. π/24 rads-1
- C. 2π/3600 rads-1
- D. π/3600 rads-1
Explanation
The minute hand of a clock completes a full revolution (2π radians) in one hour, which is 3600 seconds. Therefore, the angular velocity is calculated using the formula:Angular velocity (ω) = θ/twhere θ is the angle of rotation in radians, and t is the time in seconds. Plugging in the values, we have:ω = 2π/3600 rads-1This makes Option C the correct choice.Options A and B incorrectly calculate the time or angle for one full rotation. Option D incorrectly assumes the angle for a full rotation is π radians instead of 2π radians.
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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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