Asked in PMC Practice Test 32 (2021) 2021Moderate

The minute hand of a large clock is 3.0m long. What is its mean angular speed?

Correct answer: C. 5.2 x 10^-3 rads-1

  • A. 1.4 x 10^-4 rads-1
  • B. 1 x 10^-3 rads-1
  • C. 5.2 x 10^-3 rads-1
  • D. 1.7 x 10^-3 rads-1

Explanation

Correct Option:CAngular velocity, time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement between two bodies changes and doesn't depends on length. Since the hand of the clock makes one revolution per hour.Therefore,w=2π/t=2π/ 3600 = 0.001745 rad per seconds. Now, the linear velocity of the clock isv=wxr=0.001745 x 3 = 0.005236 m 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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