A blade of a ceiling fan has a radius of 0.7 m is rotating about a fixed axis with an initial angular velocity of 0.19 rev/s. The angular acceleration of the blade is 0.88 rev/s2. Determine the tangential speed of a point on the tip of the blade at time, t = 6 s.a. at = 34.265 m/sb. at = 28.554 m/sc. at = 13.289 m/sd. at = 24.058 m/s

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter8: Rotational Equilibrium And Dynamics

Section: Chapter Questions

Problem 39P: A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a...

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A blade of a ceiling fan has a radius of 0.7 m is rotating about a fixed axis with an initial angular velocity of 0.19 rev/s. The angular acceleration of the blade is 0.88 rev/s². Determine the tangential speed of a point on the tip of the blade at time, t = 6 s.

a. at = 34.265 m/s
b. at = 28.554 m/s
c. at = 13.289 m/s
d. at = 24.058 m/s

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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