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What is the formula of the centripetal force based on linear speed?

The centripetal force can be calculated with the following formula:

﻿﻿

The previous formula can be generalized in vector form:

﻿﻿

Where:

• ﻿﻿ is the centripetal force expressed in Newton (﻿﻿)
• ﻿﻿ is the body mass expressed in kilograms (﻿﻿)
• ﻿﻿ is the linear velocity of the body expressed in meters per second (﻿﻿)
• ﻿﻿ is the radius of the circular path expressed in meters (﻿﻿)
• ﻿﻿ is a radius vector attached to the center of the circular path, in the direction of the body.

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