ch10-p108 - 108. (a) The angular speed associated with...

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108. (a) The angular speed ω associated with Earth’s spin is = 2 π / T , where T = 86400s (one day). Thus, 5 2 7.3 10 rad/s 86400 s π == × and the angular acceleration α required to accelerate the Earth from rest to in one day is = / T . The torque needed is then 37 2 5 28 (9.7 10 kg m )(7.3 10 rad/s) 8.2 10 N m 86400s I I T τα ×⋅ × = where we used () ( ) 2 22 46 3 7 2 5.98 10 kg 6.37 10 m 9.7 10 kg m 55 IM R × ×= × for Earth’s rotational inertia.
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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