A wheel of radius R is rolling without slipping on a horizontal surface. If the wheel has an angular velocity ω, what is the linear velocity of the center of the wheel? (2023)
Practice Questions
1 question
Q1
A wheel of radius R is rolling without slipping on a horizontal surface. If the wheel has an angular velocity ω, what is the linear velocity of the center of the wheel? (2023)
Rω
ω/R
ω
2Rω
The linear velocity v of the center of the wheel is given by v = Rω.
Questions & Step-by-step Solutions
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Q
Q: A wheel of radius R is rolling without slipping on a horizontal surface. If the wheel has an angular velocity ω, what is the linear velocity of the center of the wheel? (2023)
Solution: The linear velocity v of the center of the wheel is given by v = Rω.
Steps: 4
Step 1: Understand that the wheel is rolling without slipping, which means the point of contact with the ground is not sliding.
Step 2: Recall the relationship between angular velocity (ω) and linear velocity (v) for a rolling object.
Step 3: Remember that the linear velocity (v) of the center of the wheel is directly related to the radius (R) of the wheel and its angular velocity (ω).
Step 4: Use the formula v = Rω to find the linear velocity of the center of the wheel.
