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:
a. (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.
b. (ii) Calculate the magnitude of the acceleration of the stone.
c. (iii) Determine the tension in the string, assuming it provides exactly the required radial force.