What is the motion of an object under centripetal force?

An object under centripetal force moves in a circular path with a constant speed.

When an object is under the influence of a centripetal force, it moves in a circular path with a constant speed. This force acts towards the center of the circle and is responsible for keeping the object moving in a circular path. The magnitude of the centripetal force is given by the equation Fc = mv^2/r, where Fc is the centripetal force, m is the mass of the object, v is its speed, and r is the radius of the circle.

The direction of the centripetal force is always towards the center of the circle. This means that the object is constantly changing direction, but its speed remains constant. The velocity of the object is tangent to the circle at any given point, and its acceleration is directed towards the center of the circle. The magnitude of the acceleration is given by the equation a = v^2/r.

The period of the circular motion is the time it takes for the object to complete one full revolution around the circle. It is given by the equation T = 2πr/v, where T is the period, r is the radius of the circle, and v is the speed of the object.

In conclusion, an object under centripetal force moves in a circular path with a constant speed. The centripetal force acts towards the center of the circle, and its magnitude is given by Fc = mv^2/r. The velocity of the object is tangent to the circle, and its acceleration is directed towards the center of the circle with a magnitude of a = v^2/r. The period of the circular motion is given by T = 2πr/v.