Equation of displacement of vibrating particle i.e y= A sin wt

Описание: Equation of displacement of vibrating particle i.e y= A sin wt:
Here you will study about how to develop an equation for vibrating particle executing SHM.
The equation y = A sin(wt) represents the displacement of a vibrating particle in simple harmonic motion, where y is the displacement of the particle, A is the amplitude of the motion, w is the angular frequency, and t is the time.

The term "sin" refers to the sine function, which is a mathematical function that oscillates between -1 and 1, depending on the input value. In this equation, the sine function is used to model the motion of the vibrating particle.

The amplitude A represents the maximum displacement of the particle from its equilibrium position, which is the position it would occupy if there were no external forces acting on it. The angular frequency w is related to the frequency f of the motion by the equation w = 2πf, where 2π is a constant.

The equation y = A sin(wt) is a periodic function that repeats itself after one complete cycle of oscillation, which takes place over a period T. The period T is related to the frequency f by the equation T = 1/f. The frequency f is the number of complete cycles that the particle undergoes per unit time, and it is measured in Hertz (Hz).

Overall, the equation y = A sin(wt) is a fundamental equation in the study of vibrations and waves, and it is used to describe a wide range of physical phenomena, from the motion of simple pendulums to the behavior of electromagnetic waves.
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