To calculate the tension in the string for a 0.25 kg ball revolving at 2 Hz, use the formula T = m(v^2)/R, where v is the velocity derived from frequency. The ball's frequency of 2 Hz indicates it completes two revolutions per second, which affects the velocity calculation. Velocity can be found using v = 2πR * frequency, where R is the radius of 0.5 m. The tension in the string acts as the centripetal force required for circular motion. A step-by-step example can clarify the calculations further.