Question

Derive the equation of the rotational motion with constant angular acceleration

Answer 1

Explanation:

From the definition of the averageangular velocity, we can find anequation that relates the angularposition, average angular velocity, and time: ˉω=ΔθΔt. ... In uniform rotational motion, the angular acceleration isconstant so it can be pulled out of the integral, yielding two definite integrals: α∫tt0dt′=∫ωfω0dω.