When a 2.75 kg fan, having blades 18.5 cm long is turned off, its angular speed decreases uniformly from 10.0 rad/s to 6.30 rad/s in 5.00 s. (a) What is the magnitude of the angular acceleration of the fan? (b) What is the speed of tip of the fan blades at the time the fan is turned off? (c) How many revolutions does the fan undergo while it is slowing down, during the 5.00 s?

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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Problem 10P: A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a...
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When a 2.75 kg fan, having blades 18.5 cm long is turned off, its angular speed
decreases uniformly from 10.0 rad/s to 6.30 rad/s in 5.00 s.
(a) What is the magnitude of the angular acceleration of the fan?
(b) What is the speed of tip of the fan blades at the time the fan is turned off?
(c) How many revolutions does the fan undergo while it is slowing down, during
the 5.00 s?
(d)If its angular acceleration does not change, how long after it is turned off does it
take the fan to stop?
(e) If the moment of inertia of the fan is 0.0550 kg m, what is the change in the
angular momentum experienced by the fan from the moment it was turned off
until it stopped?
Transcribed Image Text:When a 2.75 kg fan, having blades 18.5 cm long is turned off, its angular speed decreases uniformly from 10.0 rad/s to 6.30 rad/s in 5.00 s. (a) What is the magnitude of the angular acceleration of the fan? (b) What is the speed of tip of the fan blades at the time the fan is turned off? (c) How many revolutions does the fan undergo while it is slowing down, during the 5.00 s? (d)If its angular acceleration does not change, how long after it is turned off does it take the fan to stop? (e) If the moment of inertia of the fan is 0.0550 kg m, what is the change in the angular momentum experienced by the fan from the moment it was turned off until it stopped?
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