Question

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?

Answer 1

146.7 m

Step-by-step explanation:

A P E X verify

Answer 2

146.7 m

Step-by-step explanation:

Given mass of the car, m = 1500 kg

speed of the car, v = 18 m/s

Centripetal force on the car, F = 3313.6 N

As car moves in circular motion, so the centripetal force on the car is given by

`F_(centripetal) =(mv^(2) )/(r)`

Here, r is the radius of circle.

Substituting the given values in above formula, we get

`3313.6=(1500*(18^(2)) )/(r)`

`r=146.668 m`

r = 146.7 m

Thus, the radius of the circle is 146.7 m.