ch10-p032 - 32. (a) A complete revolution is an angular...

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32. (a) A complete revolution is an angular displacement of Δ θ = 2 π rad, so the angular velocity in rad/s is given by ω = Δ / T = 2 π / T . The angular acceleration is given by α == d dt T dT dt 2 2 π . For the pulsar described in the problem, we have dT dt = × × 126 10 316 10 400 10 5 7 13 . . .. s/y Therefore, =− F H G I K J ×= × −− 2 0 033 23 10 13 9 π (. ) . . s) rad / s 2 2 The negative sign indicates that the angular acceleration is opposite the angular velocity and the pulsar is slowing down. (b) We solve = 0 + t for the time t when = 0: 10 3 0 92 22 8.3 10 s 2.6 10
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