A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.20 104 rad/s to an angular speed of 3.14 104 rad/s. In the process, the bit turns through 1.92 104 rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 7.85 104 rad/s, starting from rest?

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  1. 3.14*10^4 - 1.2*10^4 = 1.94*10^4 rad/s. = Change in velocity.

    t=1.92*10^4rad * 1s/1.94*10^4rad=0.99s.

    T=7.85*10^4rad/s/1.94*10^4rad/s * 0.99s= 4.05 Seconds.

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