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# What is the formula to convert the force generated by a given torque?

The formula to calculate the force created by a given torque is:

﻿﻿

With :

• ﻿﻿ is the force expressed in newtons [N]
• ﻿﻿ is the torque expressed in newtons-meters [N.m]
• ﻿﻿ is the radius expressed in meters [m], note that ﻿﻿ , the length of the OP segment.

This formula can also be expressed in the general case with the cross product:

﻿﻿

With :

• ﻿﻿ is the force vector expressed in newtons [N]
• ﻿﻿ is the torque vector expressed in newtons-meters [N.m]
• ﻿﻿ is the vector from rotation center ﻿﻿ to the point ﻿﻿ where the force ﻿﻿ is applied

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