Question

A fan blade starts at rest and begins moving with a constant angular acceleration of 2.00...

A fan blade starts at rest and begins moving with a constant angular acceleration of 2.00 rad/s2. The blade rotates through an angle of 285 radians in an 11.0 s interval that did not start at t = 0s. How long did it take the blade to reach the beginning of the 11.0-s interval?

Answer must be in seconds.

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Answer #1

Initially the fan blade is at rest at time with angular speed

The fan blade starts rotating with angular speed at time .

After time   , the angular displacement of blade is with angular acceleration

Time taken for the angular displacement is

The blade took   to reach the beginning of 11.0 s time interval.

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