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A car of mass 1500 kg drives in a circle with a constant speed of 18 m/s. What is the radius of the circle if the centripetal force on the car is 3313.6 N?

Question

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A car of mass 1500 kg drives in a circle with a constant speed of 18 m/s. What is the radius of the circle if the centripetal force on the car is 3313.6 N?

dape · Answer

Okay, so you know Newton's 2nd law right? F=ma?

dape · Answer

You only need that formula and this formula:
$$a=\frac{v^2}{r}$$
This is a formula for motion in circles. It says that the acceleration towards the middle of the circle (the centripetal acceleration) is equal to the speed we have around the center squared divided by the radius of the circle.

dape · Answer

So you were given the mass of the car and the centripetal force, from this and Newton's 2nd law you can find the centripetal acceleration. Then you need to solve the equation above for the radius and put in the speed that you was given along with the acceleration you calculated from Newton's second.

anonymous · Answer

how do you rearange the equation to find radius? @dape