Centripetal Force Calculator
This calculator allows you to compute the centripetal force acting on an object moving in a circular path. Centripetal force is the inward force required to keep an object traveling along a curved trajectory. Enter the known values and choose which variable to solve for.
Centripetal Force Calculator
Centripetal Force Formula
Where:
- $$F$$ = Centripetal force (N)
- $$m$$ = Mass of the object (kg)
- $$v$$ = Velocity of the object (m/s)
- $$r$$ = Radius of the circular path (m)
This formula calculates the force required to keep an object of mass $$m$$ moving at velocity $$v$$ in a circular path of radius $$r$$.
Centripetal Force – Calculation Example
Example:
Given: mass = 10 kg, velocity = 5 m/s, radius = 2 m
$$F = \frac{10 \times 5^2}{2} = \frac{10 \times 25}{2} = \frac{250}{2} = 125\text{ N}$$
Result: Centripetal Force = 125 N
This calculator is useful for physics students, engineers, and anyone studying circular motion. Whether you’re analyzing vehicle dynamics, orbital mechanics, or simple rotational systems, it provides quick and accurate results for all four variables in the centripetal force equation.