Find the linear velocity of a point moving with uniform circular motion, if the point covers a distance s in the given amount of time t. s

The linear velocity is represented by the following expression:

Explanation:

From Rotation Physics we know that linear velocity of a point moving with uniform circular motion is:

(Eq. 1)

Where:

- Radius of rotation of the particle, measured in meters.

- Angular velocity, measured in radians per second.

- Linear velocity of the point, measured in meters per second.

But we know that angular velocity is also equal to:

(Eq. 2)

Where:

- Angular displacement, measured in radians.

- Time, measured in seconds.

By applying (Eq. 2) in (Eq. 1) we get that:

(Eq. 3)

From Geometry we must remember that circular arc (), measured in meters, is represented by:

The linear velocity is represented by the following expression:

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