The motor driving a grindstone is switched off when the latter has a rotational  speed of 240 rpm. After 10sec, the speed is 180 rpm. If the angular retardation remains constant, how many additional revolutions does it make before coming to rest?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
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The motor driving a grindstone is switched off when the latter has a rotational 
speed of 240 rpm. After 10sec, the speed is 180 rpm. If the angular retardation remains constant, how many additional revolutions does it make before coming to rest?

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