## Centripetal ForceAny motion in a curved path represents accelerated motion, and requires a force directed toward the center of curvature of the path. This force is called the centripetal force which means "center seeking" force. The force has the magnitude Swinging a mass on a string requires string tension, and the mass will travel off in a tangential straight line if the string breaks. The centripetal acceleration can be derived for the case ofcircular motion since the curved path at any point canbe extended to a circle.
| Index Example with mass on string | |||

| Go Back |

## Centripetal Force Calculation## Centripetal force = mass x velocity |

Note that the conditions here assume no additional forces, like a horizontal circle on a frictionless surface. For a vertical circle, the speed and tension must vary. | Any of the data values may be changed. When finished with data entry, click on the quantity you wish to calculate in the formula above. Unit conversions will be carried out as you enter data, but values will not be forced to be consistent until you click on the desired quantity. Calculation for: Radius r = m = ftMass = m=kg = slugsWeight = W=N = lbsVelocity = v=m/s =ft/s or in common highway speed units, velocity = km/h = mi/h Centripetal force= F=N = lbs## Discussion of concept |

HyperPhysics***** Mechanics ***** Rotation | R Nave |

## Centripetal AccelerationThe centripetal acceleration expression is obtained from analysis of constant speed circular motion by the use of similar triangles. From the ratio of the sides of the triangles: | Index | ||

| Go Back |