The angular velocity will become equal to linear velocity when r becomes:
Correct answer: C. Unity
- A. Zero
- B. Negative
- C. Unity
- D. They can never be equal
Explanation
When the radius (r) becomes equal to 1, the angular velocity (ω) and linear velocity (v) become equal. This is because the linear velocity is equal to the product of the radius and angular velocity, as given by the equation v = rω.Therefore, when the radius is set to unity (r = 1), the linear velocity and angular velocity will have the same magnitude. This indicates that for a given rotational motion, the linear velocity of a point on the object will be equal to its angular velocity when the radius is equal to one unit.
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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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