A playground swing may be treated as a simple pendulum whose effective length…

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A playground swing may be treated as a simple pendulum whose effective length (distance from the point of suspension to the centre of mass of the child) is 0.75 m0.75\,\text{m}. Take g=9.8 m s−2g = 9.8\,\text{m s}^{-2}. (a) Calculate the natural angular frequency of small oscillations of the swing. (b) Determine the linear (ordinary) frequency in hertz. (c) How many complete oscillations will the swing make in 5.0 min5.0\,\text{min} if it is set in motion and air resistance is neglected?

Related theory

Browse the problem library