# KINEMATICS (PHY)

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A turntable is a uniform disc of mass m and radius R. The turntable is initially spinning clockwise when looked down on from above at a constant frequency f0. The motor is turned off at t=0 and the turntable slows to a stop in time t with constant angular deceleration.

(a) What is the magnitude of the initial angular velocity ω0 of the turntable? Express your answer in terms of f0 (enter pi for π, and f_0 for f0).

ω0=

(b) What is the magnitude of the angular acceleration α of the turntable? Express your answer in terms of f0 and t (enter pi for π, f_0 for f0, and t for t).

α=

(c) What is the magnitude of the total angle Δθ in radians that the turntable spins while slowing down? Express your answer in terms of f0 and t (enter pi for π, f_0 for f0, and t for t).

Δθ=

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