Physics Question! A Racing Car Travels on a Circular track....?
A racing car travels on a circular track of
radius 143 m, moving with a constant linear
speed of 30.7 m/s.
Find its angular speed.
Answer in units of rad/s
Find the magnitude of its acceleration.
Answer in units of m/s^2
- 8 years agoFavorite Answer
Since the linear velocity (v) is the product of the radius (r) and the angular speed (w - should be lower case omega) and looks like v = rw. If we rearrange for w = v/r then 30.7ms^-1 /143m = 0.215 rad s^-1
Since acceleration (a) in the rate of change of velocity (and in a rotational motion the velocity is constantly changing) then its rotational analogue is the product of velocity and angular speed (which you have above)... a = vw = 30.7ms^-1 x 0.215 rad s^-1 = 6.60ms^-2