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If a rolling object has a radius R and rolls with an angular velocity ω, what is
If a rolling object has a radius R and rolls with an angular velocity ω, what is its linear velocity?
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Practice Questions
1 question
Q1
If a rolling object has a radius R and rolls with an angular velocity ω, what is its linear velocity?
Rω
2Rω
R/2ω
3Rω
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The linear velocity v of a rolling object is given by v = Rω.
Questions & Step-by-step Solutions
1 item
Q
Q: If a rolling object has a radius R and rolls with an angular velocity ω, what is its linear velocity?
Solution:
The linear velocity v of a rolling object is given by v = Rω.
Steps: 5
Show Steps
Step 1: Understand that a rolling object moves in a circular motion.
Step 2: Identify the radius (R) of the rolling object, which is the distance from the center to the edge.
Step 3: Recognize that angular velocity (ω) measures how fast the object is rotating, usually in radians per second.
Step 4: Realize that linear velocity (v) is the speed at which a point on the edge of the object moves in a straight line.
Step 5: Use the formula v = Rω to find the linear velocity, where you multiply the radius (R) by the angular velocity (ω).
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