A disc rolls without slipping on a horizontal surface. If its radius is R and it

A disc rolls without slipping on a horizontal surface. If its radius is R and it rolls with a linear speed v, what is its angular speed?

A disc rolls without slipping on a horizontal surface. If its radius is R and it rolls with a linear speed v, what is its angular speed?

Step 1: Understand that when a disc rolls without slipping, there is a connection between its linear speed (v) and its angular speed (ω).
Step 2: Recall the formula that relates linear speed and angular speed for rolling objects: ω = v/R.
Step 3: Identify the variables: R is the radius of the disc, and v is the linear speed.
Step 4: To find the angular speed (ω), simply divide the linear speed (v) by the radius (R).
Step 5: Write the final formula: ω = v/R.

Rolling Motion – The relationship between linear speed and angular speed for an object rolling without slipping.
Angular Speed – The rate of rotation of an object, typically measured in radians per second.
Linear Speed – The speed at which the center of mass of the rolling object moves along a path.