# UNIFORM CIRCULAR MOTION PHYSICS EBOOK

Uniform circular motion, motion of a particle moving at a constant speed on a circle. In the Figure, the velocity vector v of the particle is constant in magnitude, but. An object moving in a circle is accelerating. Accelerating objects are objects which are changing their velocity - either the speed (i.e., magnitude of the velocity vector) or the direction. An object undergoing uniform circular motion is moving with a constant speed.‎Acceleration · ‎Speed and Velocity · ‎Centripetal Force. Before discussing the dynamics of uniform circular motion, we must explore its kinematics. Because the direction of a particle moving in a circle changes at a. Author: Karli Runolfsson Jr. Country: Niue Language: English Genre: Education Published: 16 June 2017 Pages: 565 PDF File Size: 23.6 Mb ePub File Size: 39.75 Mb ISBN: 596-5-36230-671-3 Downloads: 57854 Price: Free Uploader: Karli Runolfsson Jr.

UNIFORM CIRCULAR MOTION PHYSICS EBOOK

The direction of the acceleration is inwards.

## Uniform circular motion | physics |

The final motion characteristic for an object undergoing uniform circular motion is the net force. The net force uniform circular motion physics upon such an object is directed towards the center of the circle. The net force is said to be an inward or centripetal force.

Without such an inward force, an object would continue in a straight line, never deviating from its direction. Since the body describes circular motion, its distance from the axis of rotation remains constant at uniform circular motion physics times.

Though the body's speed is constant, its velocity is not constant: As always, the place to start is with a free-body diagram, which just has two forces, the tension and the weight. It's simplest to choose a coordinate system that is horizontal and vertical, because the centripetal acceleration will be horizontal, and there is no vertical acceleration.

The tension, T, gets split into horizontal and vertical components. We don't know the angle, but that's OK because we can solve for it.

Adding forces in the y direction gives: This can be solved to get the angle: In the x direction there's just the one force, the horizontal component of the tension, which we'll set equal to the mass times the centripetal acceleration: We know mass and tension uniform circular motion physics the angle, but we have to be careful with r, because it is not simply the length of the rope.

It is the horizontal component of the 1. Rearranging this to solve for the speed gives: Example 2 - Identical objects on uniform circular motion physics turntable, different distances from the center. Let's not worry about doing a full analysis with numbers; instead, let's draw the free-body diagram, and then see if we can understand why the outer objects get thrown off the turntable at a lower rotational speed than objects closer to the center.