An electric ceiling fan is rotating about a fixed axis with an initial angular v

Question

An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.300rev/s . The magnitude of the angular acceleration is 0.918rev/s^2 . Both the the angular velocity and angular accleration are directed clockwise. The electric ceiling fan blades form a circle of diameter 0.780m . the fan's angular velocity magnitude after time 0.190s has passed is .474 rev/s Part B Through how many revolutions has the blade turned in the time interval 0.190s from Part A? Part C What is the tangential speed v_tan(t) of a point on the tip of the blade at time t = 0.190s ? Express your answer numerically in meters per second. Part D What is the magnitude a of the resultant acceleration of a point on the tip of the blade at time t = 0.190s ? Express the acceleration numerically in meters per second squared.

Explanation / Answer

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2 = 1 + t

= 0.3rev/s + 0.918 rev/s² * 0.190s

= 0.474 rev/s

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= 1 * t + ½t²

= 0.3rev/s * 0.190s + ½ * 0.918 rev/s² * (0.190s)²

= 0.07356 rev

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