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MHT CET202613 April 2026Morning ShiftPhysicsRotational MotionActual

The relative angular speed of hour hand and minute hand of clock is

Options

  1. A2 60
  2. B11 360
  3. C11 21600
  4. D2 3600

Correct answer

C. 11 21600

Step-by-step solution

The angular speed of the minute hand is the angle covered in one revolution divided by the time taken (1 hour = 3600 s): _m = 2 3600 = 1800 rad/s The angular speed of the hour hand is the angle covered in one revolution divided by the time taken (12 hours = 12 3600 s = 43200 s): _h = 2 43200 = 21600 rad/s The relative angular speed of the minute hand with respect to the hour hand is the difference between their angular speeds: _ rel = _m - _h _ rel = 1800 - 21600 _ rel = 12 - 21600 = 11 21600 rad/s Answer: 11 21600

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