A wheel rotates about an axis passing through the center and perpendicular to the plane with slowly increasing angular speed. Thus it has
Correct answer: C. Tangential velocity and tangential acceleration
- A. Radial velocity and radial acceleration
- B. Tangential velocity and radial acceleration
- C. Tangential velocity and tangential acceleration
- D. Tangential velocity but acceleration having both components
Explanation
As the wheel rotates about an axis passing through the center and perpendicular to the plane, its angular speed increases. The velocity of any point on the rim of the wheel is tangential to the circle described by that point. As the angular speed increases, the tangential acceleration increases. The radial velocity and radial acceleration are not present in this scenario.
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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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