Moderate

The angular speed of the hour hand of a mechanical watch is ----- radians per hour

Correct answer: A. π/6

  • A. π/6
  • B. π/4
  • C. π/12
  • D. π/8

Explanation

The hour hand of a clock completes one full revolution (2π radians) in 12 hours. So, the angular speed of the hour hand is 2πradians/12hours=π/6radians/hour.

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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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