To calculate the centripetal force:
\[ F_c = \frac{m \cdot V^2}{r} \]
Where:
A centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the body’s motion and towards the fixed point of the instantaneous center of curvature of the path. Isaac Newton described it as "a force by which bodies are drawn or impelled, or in any way tend, towards a point as to a center." In Newtonian mechanics, gravity provides the centripetal force responsible for astronomical orbits. One typical example involving centripetal force is when a body moves with constant speed along a circular path. The centripetal force is directed towards the center of the circle in which the object moves, causing uniform circular motion. The mathematical description was derived in 1659 by Dutch physicist Christiaan Huygens.
Let's assume the following values:
Use the formula:
\[ F_c = \frac{10 \cdot 5^2}{2} = \frac{250}{2} = 125 \text{ N} \]
The centripetal force is 125 N.
Let's assume the following values:
Use the formula:
\[ F_c = \frac{15 \cdot 7^2}{3} = \frac{735}{3} = 245 \text{ N} \]
The centripetal force is 245 N.
