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What is the relationship between the angular velocity and linear velocity of an
What is the relationship between the angular velocity and linear velocity of an object moving in a circular path?
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Practice Questions
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Q1
What is the relationship between the angular velocity and linear velocity of an object moving in a circular path?
v = ωr
v = r/ω
v = ω/r
v = ω²r
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Linear velocity (v) is related to angular velocity (ω) by the formula v = ωr.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the relationship between the angular velocity and linear velocity of an object moving in a circular path?
Solution:
Linear velocity (v) is related to angular velocity (ω) by the formula v = ωr.
Steps: 5
Show Steps
Step 1: Understand that angular velocity (ω) measures how fast something is rotating, usually in radians per second.
Step 2: Know that linear velocity (v) measures how fast something is moving along a circular path, usually in meters per second.
Step 3: Recognize that the radius (r) is the distance from the center of the circle to the object moving along the path.
Step 4: Use the formula v = ωr to connect linear velocity and angular velocity.
Step 5: This means that to find the linear velocity, you multiply the angular velocity by the radius of the circle.
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