The maximum kinetic energy (KEmax) of an object in simple harmonic motion can be calculated using the formula:
KEmax = (1/4) * m * ω^2 * A^2
Where: m is the mass of the object in kilograms, ω (omega) is the angular frequency of the motion in radians per second, A is the amplitude of the motion in meters.
The angular frequency (ω) can be determined from the frequency (f) using the equation:
ω = 2πf
Note: In this formula, we assume the object is undergoing simple harmonic motion, such as the motion of a mass on a spring or a pendulum.