The average energy in one period of a simple harmonic motion is ________A12𝑚𝜔2𝑎2

The average energy (E) in one period of a simple harmonic motion is given by the formula:

E = 1/2 mω²a²

where: m is the mass of the object, ω is the angular frequency, and a is the amplitude of the motion.

This formula represents the total energy in the system, which is the sum of the kinetic and potential energy. The kinetic energy is the energy of motion, and the potential energy is the energy of position. In simple harmonic motion, the total energy is constant, and the kinetic and potential energy continually interchange.

So, the average energy in one period of a simple harmonic motion is 1/2 mω²a².