A racing car travels on a circular track of radius 220 m, moving with a constant linear speed of 48.9 m/s.
Find its angular speed.
Answer in units of rads/s.
I already mutiplied 2π x 220. But I don't know what to do from there? Any help please? Thanks!
The linear speed=radius*angular speed.
Linear speed/radius=angular speed.
48.9/220=0.222273
To find the angular speed of the racing car, you need to use the formula relating linear speed and angular speed.
The formula is: linear speed = angular speed * radius
In this case, you are given the linear speed as 48.9 m/s and the radius as 220 m. Rearrange the formula to solve for angular speed:
angular speed = linear speed / radius
Now, substitute the given values into the formula:
angular speed = 48.9 m/s / 220 m
To obtain the answer in units of radians per second (rad/s), divide the linear speed by the radius:
angular speed = 0.222 m/s
So, the angular speed of the racing car is approximately 0.222 rad/s.