Determine the linear velocity of a point rotating at an angular velocity of 12 r radians per second at a distance of 8 centimeters from the center of the rotating object.
Correct answer: B. 301.6 cm/s
- A. 31.6 cm/s
- B. 301.6 cm/s
- C. 30.6 cm/s
- D. 3016 cm/s
Explanation
v = r w = (8)(12 )r (w=12r, r is radius which is equal to 𝝅)= 8cm x 12𝝅= 8 x 37.68 = 301.44 cm/s (nearest answer would be 301.6 cm/s)
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About Angular and Linear Quantities
Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
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