Question

What is the value of tangential acceleration in U.C.M ?

Answer 1

We know that U.C.M stands for uniform circular motion. Here we will see what uniform circular motion means, what is centripetal acceleration, what does tangential acceleration mean.

Complete answer:
The angle traversed by a body in circular motion per unit time is known as angular velocity. Uniform circular motion is when an object moves in a circular motion with a constant angular velocity. In uniform circular motion, the body maintains a steady tangential speed when turning continuously. The force that causes this turing is known as centripetal force, and it is directed towards the middle.

Centripetal acceleration is the term for the corresponding acceleration. Tangential acceleration is a measure of how easily a tangential velocity varies in rotational motion. It often operates perpendicular to a spinning object's centripetal acceleration. It's the angular acceleration multiplied by the radius of rotation.

The tendency of a force to rotate or orient an object around an axis, fulcrum, or pivot is known as torque or moment of force. Torque can be thought of as a twist to any object, just as force is a push or a pull. When a force exerts a constant torque around the centre, a constant angular acceleration is generated.

Tangential acceleration = (radius of the rotation)(angular acceleration)
${{a}_{\tan }}=r\alpha$
${{a}_{\tan }}$= tangential acceleration
$r$= radius of the object's rotation
$\alpha$ = angular acceleration, with unit $rad/{{s}^{2}}$

Note: The distinction between angular and linear acceleration must be understood. Nonzero angular acceleration is indicated by a change in angular velocity. A force/acceleration acting in a tangential direction causes this. In addition to the radial centripetal acceleration, there is a radial centripetal acceleration. Linear acceleration is the transition in linear velocity.