The velocity of an object carrying out simple harmonic motion can becalculated easily The period T and the frequency are related as follows The symbol for frequency is and its unit is the Hertz (Hz): The number of oscillations carried out per second is called the frequency of the oscillation.
Therefore, the displacement x(t) must return to itsinitial value after one period The period T of the motion is defined as the time required tocomplete one oscillation. The angular frequency is a characteristic of the system, and does not depend on the initialconditions. The phase constant isdetermined by the initial conditions. The time-varyingquantity (t + ) is called the phase of the motionand is called the phase constant. The quantity x m is called the amplitude of themotion and is the maximum displacement of the mass. Where x m, and are constants, independent oftime. A particle experiences a simple harmonics motion if itsdisplacement from the origin as function of time is given by Any motion that repeats itself at regular intervals is called harmonicmotion.
