# Centripetal Force: Calculate Tension for 35kg Boy

• bfr
In summary, centripetal force is the force that directs an object moving in a circular path towards the center of the circle. It can be calculated using the formula F = mv^2/r, with F representing the force, m representing the mass, v representing the velocity, and r representing the radius. The tension in a string for a 35kg boy moving in a circular path can also be calculated using this formula. Changes in the boy's mass or velocity will result in changes in the tension of the string. Real-life examples of centripetal force include a car turning a corner, a roller coaster going around a loop, a satellite orbiting the Earth, and a child swinging on a swing.
bfr

## Homework Statement

A 35kg boy is swinging on a rope 7 m long. He passes through the lowest position with a speed of 3 m/sec. What is the tension in the rope at that moment?

F=ma
F=(m*v^2)/R
v=(2pi*r)/T

## The Attempt at a Solution

F=(35*3^2)/7=45N

The correct answer is supposed to be 388 though.

Remember there is also the weight of the boy

Oh...yeah...thanks! That does it. 45+35*9.8=388.

## 1. What is centripetal force?

Centripetal force is the force that acts on an object moving in a circular path, directing it towards the center of the circle.

## 2. How is centripetal force calculated?

Centripetal force can be calculated using the formula F = mv^2/r, where F is the force, m is the mass of the object, v is the velocity, and r is the radius of the circular path.

## 3. What is the tension in the string for a 35kg boy moving in a circular path?

The tension in the string can be calculated using the same formula as centripetal force. In this case, F represents the tension force, m is the mass of the boy (35kg), v is the velocity, and r is the radius of the circular path.

## 4. How does the tension in the string change if the boy's mass or velocity changes?

If the boy's mass or velocity changes, the tension in the string will also change. As the mass increases, the tension will also increase, and as the velocity increases, the tension will decrease.

## 5. What are some real-life examples of centripetal force?

Some examples of centripetal force in everyday life include a car turning a corner, a roller coaster going around a loop, a satellite orbiting around the Earth, and a child swinging on a swing.

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