Solution - A particle rotates in U.C.M. with tangential velocity V along a horizontal circle of diameter ‘D' . Total angular displacement of the particle in time 't' is - Uniform Circular Motion

Read each statement below carefully and state, with reasons, if it is true or false:

The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point

In U. C. M (Uniform Circular Motion), prove the relation `vec v = vec w xx vec r`, where symbols have their usual meanings.

For a particle performing uniform circular motion `vecv=vecwxxvecr`obtain an expression for linear acceleration of the particle performing non-uniform circular motion.

An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Compare its centripetal acceleration with the acceleration due to gravity.

A stone tied to the end of a string 80 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in 25 s, what is the magnitude and direction of acceleration of the stone?