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For a rotating body, which of the following statements best describes the relati

ID: 1282618 • Letter: F

Question

For a rotating body, which of the following statements best describes the relationship between the linear acceleration and the angular velocity and acceleration for a point at a fixed radius?

A. The radial component of the linear acceleration is concerned with the change in speed of the body and is proportional to the square of the angular velocity, while the tangential component of angular velocity is related to the body's change in direction and is proportional to the angular acceleration.

B. The radial component of the linear acceleration is concerned with the change in speed of the body and is proportional to the angular acceleration, while the tangential component of angular velocity is related to the body's change in direction and is proportional to the square of the angular velocity.

C. The radial component of the linear acceleration is concerned with the body's change in direction and is proportional to the square of the angular velocity, while the tangential component of angular velocity is related to the change in speed of the body and is proportional to the angular acceleration.

D. The radial component of the linear acceleration is concerned with the body's change in direction and is proportional to the angular acceleration, while the tangential component of angular velocity is related to the change in speed of the body and is proportional to the square of the angular velocity.

Explanation / Answer

C. The radial component of the linear acceleration is concerned with the body's change in direction and is proportional to the square of the angular velocity, while the tangential component of angular velocity is related to the change in speed of the body and is proportional to the angular acceleration

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