Linear velocity or tangential velocity of any particle moving in a circular path of radius 2m with angular velocity 8rad-1 will be:
Correct answer: A. 16ms-1
- A. 16ms-1
- B. 10ms-1
- C. 4ms-1
- D. 6ms-1
Explanation
The linear velocity (also known as tangential velocity) of a particle moving in a circular path with a radius of 2 meters and an angular velocity of 8 radians per second is calculated using the formula: v = r * ω. Substituting the values, we get v = 2m * 8rad-1 = 16ms-1. Therefore, the correct answer is Option A. Options B, C, and D are incorrect because they do not correctly apply the formula for calculating linear velocity in circular motion.
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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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