Asolar-powered car is traveling at constant speed around a circular track. what happens to the centripetal acceleration of the car if the speed is tripled?

The centripetal acceleration of the car is related to its speed by the relationship

where ac is the centripetal acceleration, v is the car's speed and r is the radius of the circular orbit. 

Looking at the formula, we can see that if we triple the speed (v'=3v), the centripetal acceleration becomes

so, the centripetal acceleration increases by a factor 9.

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