Asked in PMC Practice Test 22 (2021) 2021Moderate

Find angular acceleration when dw is 250 rpm and dt is 5.00 s.

Correct answer: A. 5.24 rad/sec^2

  • A. 5.24 rad/sec^2
  • B. 6 rad/sec^2
  • C. 10 rad/sec^2
  • D. None of these

Explanation

Angular Acceleration = t, Where = change in angular velocity t = change in time First we convert from rpm rads-1 250 rpm = 250 2 / 60 = 250 2(3.14) / 60 = 26.17 rads-1 = 26.17 rads-1 Then, = t, = 26.17 / 5 = 5.23 rads-2

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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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