An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.240 rev/s. the magnitude of the angular acceleration is 0.917 rev/s^2. both the the angular velocity and angular acceleration are directed counterclockwise. the electric ceiling fan blades form a circle of diameter 0.720 m. a) compute the fan's angular velocity magnitude after time 0.203 s has passed. compute the fan's angular velocity magnitude after time 0.203 s has passed. express your answer numerically in revolutions per second. b) what is the tangential speed vt of a point on the tip of the blade at time t = 0.203 s? express your answer numerically in meters per second. c) calculate the magnitude at of the tangential acceleration of a point on the tip of the blade at time t= 0.203 s. express the acceleration numerically in meters per second squared.

Explanation:

Given that,

Angular velocity = 0.240 rev/s

Angular acceleration = 0.917 rev/s²

Diameter = 0.720 m

(a). We need to calculate the angular velocity after time 0.203 s

Using equation of angular motion

Put the value in the equation

The angular velocity is 0.426 rev/s.

(b). We need to calculate the tangential speed of the blade

Using formula of  tangential speed

Put the value into the formula

The tangential speed of the blade is 0.963 m/s.

(c). We need to calculate the magnitude at of the tangential acceleration

Using formula of tangential acceleration

Put the value into the formula

The tangential acceleration is 2.074 m/s².

Hence, This is required solution.

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