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Item 1 An electric ceiling fan is rotating about a fixed axis with an initial an

ID: 1641080 • Letter: I

Question

Item 1

An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.300 rev/s . The magnitude of the angular acceleration is 0.889 rev/s2 . Both the the angular velocity and angular accleration are directed clockwise. The electric ceiling fan blades form a circle of diameter 0.800 m .

Part A

Compute the fan's angular velocity magnitude after time 0.194 s has passed.

Express your answer numerically in revolutions per second.

Item 1

An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.300 rev/s . The magnitude of the angular acceleration is 0.889 rev/s2 . Both the the angular velocity and angular accleration are directed clockwise. The electric ceiling fan blades form a circle of diameter 0.800 m .

Part A

Compute the fan's angular velocity magnitude after time 0.194 s has passed.

Express your answer numerically in revolutions per second.

Explanation / Answer

initial angular velocity w0 = 0.300 rev/s

Angular acceleration a= 0.889 rev/s2

time t = 0.194 s

Fan angular velocity magnitude after time t is given by

w = w0 + at

w= 0.300+(0.889*0.194)

w = 0.472466 rev/s

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