A student swings a small stone of mass tied to a long string in a horizontal circle…
PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics
Problem
A student swings a small stone of mass 0.25kg tied to a 0.50m long string in a horizontal circle at a steady rate of 3.0revs−1. Answer the following:
(i) Starting from the relation between linear speed and frequency, derive an expression for the radial acceleration in terms of frequency ν and radius r.
(ii) Calculate the magnitude of the acceleration of the stone.
(iii) Determine the tension in the string, assuming it provides exactly the required radial force.