A car is traveling at a speed of 62 on a freeway.
If its tires have diameter 24.0 and are rolling without sliding or slipping, what is their angular velocity?
You must provide dimensions along with your numbers. 62 what? mph? 24.0 what? inches?
A nonslipping tire's speed (and that of the car) is
V = R*w
where w is the angular velocity in radians per second.
You do the numbers.
The length and speed dimensions must be consistent. (feet and feet/s or meters and meters/s)
its 62 mi/h and 24.0in
do i do 2pi/ 62 first?
w = V/R
V = 62 mi/h = 90.93 ft/s
R = 24 in = 0.6667 ft
Now that you have consistent dimensions for V and R,
w = 90.93/0.6667 = 136.4 rad/s