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## High school physics

### Course: High school physics > Unit 4

Lesson 3: Centripetal forces- Introduction to centripetal force
- Identifying centripetal force for ball on string
- Identifying centripetal force for cars and satellites
- Identifying force vectors for pendulum: Worked example
- Identifying centripetal forces
- Centripetal forces review

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# Centripetal forces review

Review the key concepts, equations, and skills for centripetal forces, including that centripetal force is the net force in the radial direction.

## Key terms

Term (symbol) | Meaning | |
---|---|---|

Centripetal force (F, start subscript, c, end subscript) | Net force acting in the direction towards the center of a circular path, causing centripetal acceleration. Direction is perpendicular to the object’s linear velocity. Also sometimes called radial force. |

## Equations

Equation | Symbol breakdown | Meaning in words |
---|---|---|

\Sigma, F, start subscript, R, end subscript, equals, m, a, start subscript, c, end subscript | a, start subscript, c, end subscript is centripetal acceleration, m is mass, and \Sigma, F, start subscript, R, end subscript is net force in radial direction (or centripetal force) | Net radial force is directly proportional to the product of the object's mass and centripetal acceleration. |

## Common mistakes and misconceptions

**Centripetal force is not a type of force.**Centripetal force is a net force is the sum of the force vectors pointing in the radial direction. It could be the component of a force, the sum of multiple forces, or the difference of two radial vectors.**People mistakenly think objects moving in a circular path are acted upon by an outwards pointing force.**When you turn in a circle, it may feel like something is pulling you outwards from the turn, but that’s your inertia trying to resist a change in motion.

## Learn more

For deeper explanations of centripetal force, see our video introducing centripetal force using flaming test balls.

To check your understanding and work toward mastering these concepts, check out the exercise on centripetal forces.

## Want to join the conversation?

- ΣF r is net force in radial direction, then it could be the difference of two radial vectors that are pointing in opposite directions? (such as the difference between force of tension and gravitational force) Also, I noticed how the object attached to a string wouldn't actually rotate unless you exert a force that could spin up the string, so it there a notion to explain this? thank you!(11 votes)
- In the roller coaster example, because more forces are added onto the centrifugal force, that means that the centrifugal force gets larger, correct?(4 votes)
- Yes. Remember that the centripetal force is not a type of force in itself (like forces of gravity, tension, or the normal force), but instead just a name we give to any force causing the object to undergo circular motion.(4 votes)

- noticed how the object attached to a string wouldn't actually rotate unless you exert a force that could spin up the string, so it there a notion to explain this?(3 votes)
- Is centripetal force a vector quantity(1 vote)
- how can you find the centripetal acceleration when you are given the length of the string and mass and v only?(1 vote)
- If you know the linear velocity (v) of the body, square that and divide it by the radius (r) of the circle that the body is moving around. (Centripetal acceleration = v^2 / r).(1 vote)