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3a. A dentist causes the bit of a high-speed drill to accelerate from an angular speed...

3a. A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.00×1041.00×104 rad/s to an angular speed of 3.30×1043.30×104 rad/s. In the process, the bit turns through 1.86×1041.86×104 rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 7.80×1047.80×104 rad/s, starting from rest?

________s

3b. During a tennis serve, a racket is given an angular acceleration of magnitude 120 rad/s2. At the top of the serve, the racket has an angular speed of 13.0 rad/s. If the distance between the top of the racket and the shoulder is 1.10 m, find the magnitude of the total acceleration of the top of the racket.
______ m/s2

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