The minute hand of a large clock is 3.0 m long. What is its mean angular speed?
Correct answer: C. 1.7 x 10^-3 rads-1
- A. 1.4 x 10^-4 rads-1
- B. 5.2 x 10^-3 rads-1
- C. 1.7 x 10^-3 rads-1
- D. 1.0 x 10^-1 rads-1
Explanation
The minute hand completes 1 revolution in 60 minutes = 3600 seconds. One revolution = 2π radians. Therefore, mean angular speed = ( total angle/ time) = 2π / 3600 = 1.745×10-3 rads-1.
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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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