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A wheel is rotating about its axle. Consider a point on the rim. When the wheel rotates with constant angular velocity, does the point have a radial acceleration? A tangential acceleration? When the wheel rotates with constant angular acceleration, does the point have a radial acceleration? A tangential acceleration? Do the magnitudes of these accelerations change with time?

A wheel is rotating about its axle. Consider a point on the rim. When the wheel rotates with constant angular velocity, does the point have a radial acceleration? A tangential acceleration? When the wheel rotates with constant angular acceleration, does the point have a radial acceleration? A tangential acceleration? Do the magnitudes of these accelerations change with time?

Grade:12th pass

2 Answers

Vikas TU
14149 Points
3 years ago
Angular acceleration is the change in angular velocity divided by time, while tangential acceleration is the change in linear velocity divided by time. People sometimes forget that angular acceleration does not change with radius, but tangential acceleration does.
Mahesh Koilada
22 Points
3 years ago
Case-1 Constant Angular Velocity: Only radial acceleration towards the axle. The magnitude remains constant.
Case-2 Constant Angular Acceleration: Both radial & tangential accelerations. The magnitude of tangential acceleration remains constant and that of radial acceleration keeps changing proportional to the square of angular velocity at that instant.
 

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