# 2 Problems on Motion on circular Path: Centripetal force

1. A 1000 kg car rounds a turn of radius 30m at a velocity of 9 m/s.

(a) How much centripetal force is required?

(b) Where does this force come from?

2. The maximum force a road can exert on the tires of a 3200 lb car is

2000 lb. What is the maximum velocity at which the car can round a turn of radius 320 ft?

https://brainmass.com/physics/circular-motion/problems-motion-circular-path-centripetal-force-201178

#### Solution Preview

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1. A 1000 kg car rounds a turn of radius 30m at a velocity of 9 m/s.

(a) How much centripetal force is required?

The centripetal force acting on a body of mass m moving on a circular path of radius R with a constant speed v is given by

Substituting ...

#### Solution Summary

Two problems about calculating the centripetal force and radius of curvature.

Motion on a vertical circle.

This problem is a three-parter. Here we go:

A stunt man whose mass is 72.7 kg swings from the end of a 4.51 m long rope along the arc of a vertical circle.

1.) Assuming he starts from rest when the rope is horizontal, find the tension in the rope that is required to make him follow his circular path at the beginning of his motion.

2.) Find the tension in the rope of at a height of 1.60 m above the bottom of the circular arc.

3.) Find the tension in that rope at the bottom of his arc.

I'd be grateful for any help. Thank you so much.

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