Dynamics of Uniform Circular Motion: Centripetal Force Uniform circular motion is a motion in a circular path at a constant speed. Objects in uniform circula...
Uniform circular motion is a motion in a circular path at a constant speed. Objects in uniform circular motion experience a force that is directed towards the center of the circle. This force is called the centripetal force.
Centripetal force is a force that acts on an object moving in a circle. It is directed towards the center of the circle and is proportional to the square of the object's speed. The formula for centripetal force is:
where:
F_c is the centripetal force in newton (N)
m is the mass of the object in kilograms (kg)
v is the speed of the object in meters per second (m/s)
r is the radius of the circle in meters (m)
The centripetal force is the only force that acts on an object in uniform circular motion. It is responsible for keeping the object moving in a circle at a constant speed.
Examples:
A car driving on a circular track is experiencing a centripetal force that keeps it moving around the curve.
A satellite in orbit around Earth experiences a centripetal force that keeps it in its orbit.
A bowling ball rolling down a lane experiences a centripetal force that causes it to curve around the lane