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# 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

### 1 Answer

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- 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

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