# Simple Harmonic Motion

**Formula:**`x(t) = A cos(ωt + φ)`

## Introduction to Simple Harmonic Motion

Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement. The equation ** x(t) = A cos(ωt + φ)** represents the displacement of an object undergoing simple harmonic motion at any given time

**. In this formula,**

*t***represents the amplitude of the motion,**

*A***is the angular frequency,**

*ω***is the phase angle, and**

*φ*

*t**is the time variable.*

*Parameter usage:*

`A`

= amplitude of the motion`ω`

= angular frequency`φ`

= phase angle`t`

= time variable

*Output:*

`x(t)`

= displacement at time`t`

*Data Validation*

*The amplitude, angular frequency, and time should be real numbers. The phase angle should be in radians.*

*Summary*

*This formula describes a simple harmonic motion system and calculates the displacement at a given time based on the input parameters.*

Tags: Physics, Mechanics, Simple Harmonic Motion