What is the relationship between the angular velocity (ω) and the linear velocit

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Question: What is the relationship between the angular velocity (ω) and the linear velocity (v) in circular motion?

Options:

Correct Answer: v = ωr

Solution:

The relationship is given by v = ωr, where r is the radius of the circular path.

What is the relationship between the angular velocity (ω) and the linear velocity (v) in circular motion?

What is the relationship between the angular velocity (ω) and the linear velocity (v) in circular motion?

Step 1: Understand that angular velocity (ω) measures how fast something is rotating around a circle.
Step 2: Know that linear velocity (v) measures how fast something is moving along the edge of the circle.
Step 3: Identify the radius (r) of the circular path, which is the distance from the center of the circle to the edge.
Step 4: Use the formula v = ωr to find the relationship between linear velocity and angular velocity.
Step 5: Remember that if you increase the radius (r), the linear velocity (v) will also increase for the same angular velocity (ω).
Step 6: Conversely, if you increase the angular velocity (ω), the linear velocity (v) will increase as well, assuming the radius remains constant.

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