Calculate angle as a function of time

  • #1

Main Question or Discussion Point

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?
 

Answers and Replies

  • #2
Svein
Science Advisor
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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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