A wheel of radius R is rolling without slipping on a horizontal surface. If the
Practice Questions
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
Questions & Step-by-Step Solutions
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)
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.
Relationship between Angular and Linear Velocity – The linear velocity of a point on a rotating object is directly proportional to its angular velocity and the radius of rotation.
