Question

ASSERTION: For uniform circular motion, the displacement and acceleration are directed towards the center along the radius. REASON: Centripetal acceleration is represented as ac = ω²/R

A cyclist starts from center O of a circular park of radius 1 km and moves along the path OPRQO as shown. If he maintains constant speed of 10 m/s, what is his acceleration at point R in magnitude & direction?

Define centripetal acceleration. Derive an expression for the centripetal acceleration of a body moving with uniform speed v along a circular path of radius r.

(a) Define centripetal acceleration. Derive an expression for the centripetal acceleration of a body moving with uniform speed v along a circular path of radius r. (b) 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