The figure shows a cylinder of radius 0.7m rotating about its axis at 10rad/s. The speed of the point P is:
Correct answer: A. 7.0m/s
- A. 7.0m/s
- B. 14πrad/s
- C. 7.0πrad/s
- D. 0.70m/s
Explanation
The correct answer is 7.0m/s. The speed of the point P is calculated using the formula v = rω, where r = 0.7m and ω = 10rad/s. Therefore, v = 0.7 * 10 = 7.0m/s. The other options are incorrect because they either use the wrong units for speed (Options B and C) or provide a different incorrect value for the speed (Option D).
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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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