The minute hand of a large clock is 3.0 m long. What is its mean angular speed?
Correct answer: C. 5.2 x 10^-3 rad s-1
- A. 1.4 x 10^-4 rads-1
- B. 1.0 x 10^-3 rad s-1
- C. 5.2 x 10^-3 rad s-1
- D. 1.7 x 10^-3 rad s-1
Explanation
w = 2 π/ 3600s ≈ 0.00174 rad/s The linear velocity of a point on the tip of the 3 metres long minute hand is v = wr v = 3 × 0.00174 rad/s v = 0.00522 rad/s
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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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