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Calculate angle as a function of time

  1. Feb 4, 2015 #1
    I need to calculate the angle of a rigid body under constant angular velocity as a function of time. The RPM of the body is known, so the angular velocity is ω=2πf. Therefore θ=ωt=[RPM]2πt/60. How can I calculate the angle so that it 'resets' after a full rotation?
  2. jcsd
  3. Feb 4, 2015 #2


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    Science Advisor

    θ=ωt=[RPM]2πt/60 is correct. If you want the "basic" angle it is (θ mod 2π) = 2π⋅([RPM]t/60 mod 1) = 2π⋅frac([RPM]t/60) (frac means the decimal part).
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