T = 2π √ (m/k). The oscillation period T is the period of time through which the state of the system takes the same values: u (t + T) = u (t). Oscillations are called processes in which the movements or states of a system are regularly repeated in time. The time for one oscillation is the period T. The number of oscillations per unit time is the frequency f. These quantities are related by f = 1 T f = 1 T. The mass m in kg & the spring constant k in N.m -1 are the key terms of this calculation. The dimensions of this quantity is a unit of time, such as seconds, hours or days. 00:00 00:00. Because f = 1/ T , you can write the period of oscillation like this: T = \frac{2π}{ω} Simple harmonic motion time period calculator - formula & step by step calculation to find the time period of oscillation of a mass m attached to the spring or of a pendulum. The period of oscillation demonstrates a single resonant frequency. A wave is a disturbance (a change in the state of the medium) that propagates in space and carries energy without transferring matter. Here ω is known as the angular frequency, and it's related to the frequency of oscillation (f) by the equation ω = 2π_f_. This motion of oscillation is called as the simple harmonic motion (SHM), which is a type of periodic motion along a path whose magnitude is proportional to the distance from the fixed point. Calculate the period of oscillations according to the formula above: T = 2π√(L/g) = 2π * √(2/9.80665) = 2.837 s. Find the frequency as the reciprocal of the period: f = 1/T = 0.352 Hz . 00:00. In the below period of pendulum calculator enter the length and acceleration of gravity to know the period of oscillation. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Formula for Simple Harmonic Motion Time Period Find here the period of oscillation equation for calculating the time period of a simple pendulum. The period of a pendulum formula is defined as T = 2 x π √ (L/g), where T is the period, L is the length and g is the Acceleration of gravity. Periodic motion is a repetitious oscillation. You can also let this simple pendulum calculator perform all calculations for you! The pendulum period formula, T, is fairly simple: T = (L / g)1/2, where g is the acceleration due to gravity and L is the length of the string attached to the bob (or the mass).