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26 March, 08:31

Determine the linear velocity of an object with an angular velocity of 5.9 radians per second at a distance of 12 centimeters from the center. use. round the answer to the nearest tenth.

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  1. 26 March, 08:56
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    The linear velocity of a rotating object is the product of the angular velocity and the radius of the circular motion. Angular velocity is the rate of the change of angular displacement of a body that is in a circular motion. It is a vector quantity so it consists of a magnitude and direction. From the problem, the angular velocity is 5.9 rad per second and the radius is given as 12 centimeters. We calculate as follows:

    Linear velocity = angular velocity (radius)

    Linear velocity = 5.9 (12) = 70.8 cm / s

    The linear velocity of the body in motion is 70.8 centimeters per second or 0.708 meters per second.
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