How to convert angular velocity to linear velocity?

Understand the Problem

The question is asking how to change angular velocity, which measures how fast something rotates, into linear velocity, which measures how fast something moves in a straight line. This often involves using the formula that relates these two concepts, which is v = r * ω, where v is linear velocity, r is the radius, and ω is angular velocity.

Answer

v = r * ω

The final answer is v = r * ω.

Answer for screen readers

The final answer is v = r * ω.

More Information

Linear velocity is directly proportional to both the angular velocity and the radius of the circular path.

Tips

A common mistake is forgetting to convert angular velocity to the proper units (radians per second) before applying the formula.

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