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In physics, you can apply Hookeâs law, along with the concept of simple harmonic motion, to find the angular frequency of a mass on a spring. And because you can relate angular frequency and the mass on the spring, you can find the displacement, velocity, and acceleration of the mass. Hookeâs law says that F [â¦]
Angular variables. Angular displacement (angle): Î¸ = s/r. Angular velocity: Ï = v/r. Angular acceleration: Î± = a. Note that the angular acceleration is connected to the tangential acceleration, not the centripetal acceleration. There is an angular acceleration only when the rotation rate changes. If the angular velocity is constant, then the speed of a point on the rotating object is: v = 2Ïr / T. where T is the period, the time to go around once. The angular speed is Ï = v/r = 2Ï / T. These angular variables are vectors, just like their straight-line motion cousins.