The angular velocity for the daily rotation of the earth is

Correct answer: C. π/12 radian hr-1

  • A. π/3 radian hr-1
  • B. π/6 radian hr-1
  • C. π/12 radian hr-1
  • D. 12 radian hr-1

Explanation

The angular velocity (ω) is the scalar measure of rotation rate. In one complete rotation, angular distance travelled is 2π and time is time period (T). Angular velocity is given by the following formula: ω=2π/T The time period for one complete rotation of the Earth is 24 hours so ω=2π/24 =π/12

This question appeared on the ETEA MDCAT 2011 paper, which you can sit online with every answer explained.

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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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