A disk rolls without slipping on a horizontal surface. If its radius is R and it rolls with a linear speed v, what is the angular speed of the disk?
Practice Questions
1 question
Q1
A disk rolls without slipping on a horizontal surface. If its radius is R and it rolls with a linear speed v, what is the angular speed of the disk?
v/R
R/v
vR
v^2/R
The relationship between linear speed and angular speed for rolling without slipping is given by ω = v/R.
Questions & Step-by-step Solutions
1 item
Q
Q: A disk rolls without slipping on a horizontal surface. If its radius is R and it rolls with a linear speed v, what is the angular speed of the disk?
Solution: The relationship between linear speed and angular speed for rolling without slipping is given by ω = v/R.
Steps: 4
Step 1: Understand that the disk is rolling without slipping, which means there is a direct relationship between its linear speed and angular speed.
Step 2: Identify the variables: the linear speed of the disk is 'v' and the radius of the disk is 'R'.
Step 3: Recall the formula that relates linear speed (v) and angular speed (ω) for rolling without slipping: ω = v / R.
Step 4: To find the angular speed (ω), simply divide the linear speed (v) by the radius (R).
