A particle executes simple harmonic motion along a straight line with an amplitude of 0.05 meters and a frequency of 10 hertz. What is the maximum acceleration experienced by the particle during its motion?

💡 Solution & Explanation

The maximum acceleration in simple harmonic motion is given by the product of the square of the angular frequency and the amplitude, where angular frequency equals two pi times frequency. Substituting the given values yields an angular frequency of twenty pi radians per second, and squaring this gives four hundred pi squared, which when multiplied by zero point zero five gives twenty pi squared meters per second squared. Simple harmonic motion represents the periodic oscillation of a body about a stable equilibrium point.