Answer to Question #205308 in Physics for sophia

Question

Explain the relationships among angular and linear displacement, angular and linear velocity, and angular and linear acceleration?

Answer 1

The centripetal acceleration is due to the change in the direction of tangential velocity, whereas the tangential acceleration is due to any change in the magnitude of the tangential velocity. The tangential and centripetal acceleration vectors are always perpendicular to each other. To complete this description, we can assign a total linear acceleration vector to a point on a rotating rigid body or a particle executing circular motion at a radius r from a fixed axis. The total linear acceleration vector is the vector sum of the centripetal and tangential accelerations.