A wheel of radius R rolls on a flat surface. If it rolls without slipping, what
Practice Questions
Q1
A wheel of radius R rolls on a flat surface. If it rolls without slipping, what is the distance traveled by the center of mass after one complete rotation?
2πR
πR
4πR
R
Questions & Step-by-Step Solutions
A wheel of radius R rolls on a flat surface. If it rolls without slipping, what is the distance traveled by the center of mass after one complete rotation?
Step 1: Understand that the wheel is rolling on a flat surface.
Step 2: Know that the radius of the wheel is R.
Step 3: Recall the formula for the circumference of a circle, which is 2π times the radius.
Step 4: Substitute the radius R into the circumference formula: Circumference = 2πR.
Step 5: Realize that when the wheel rolls without slipping, the distance traveled by the center of mass after one complete rotation is equal to the circumference of the wheel.
Step 6: Conclude that the distance traveled by the center of mass after one complete rotation is 2πR.
Rolling Motion – Understanding the relationship between the rotation of a wheel and the distance it travels on a flat surface.
Circumference Calculation – Calculating the circumference of a circle using the formula 2πR.
Non-Slipping Condition – Recognizing that the wheel rolls without slipping, meaning the distance traveled is directly related to its circumference.
