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Explain the differences between linear speed and angular speed when describing motion along a circular path

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Answer:

Linear speed refers to the distance traveled by an object in a certain amount of time. It is a scalar quantity and is measured in meters per second (m/s) or kilometers per hour (km/h). On the other hand, angular speed refers to the rate at which an object rotates around a fixed axis. It is a vector quantity and is measured in radians per second (rad/s) or degrees per second (deg/s).

When describing motion along a circular path, linear speed is the speed at which an object travels along the circumference of the circle. It is calculated by dividing the distance traveled by the time taken. On the other hand, angular speed is the speed at which an object rotates around the center of the circle. It is calculated by dividing the angle covered by the object in radians by the time taken.

In summary, linear speed describes how fast an object is moving along a circular path, while angular speed describes how fast an object is rotating around the center of the circle.

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