# Forced oscillation Calculator

## Calculates a table of the displacement of the forced oscillation, and draws the chart.

 $\vspace{5}\\ \hspace{60}{\large\frac{d^2 x}{dt^2}}+2\kappa{\large\frac{dx}{dt}}+{\omega_{\small 0}}^2 x=f\cdot cos(\omega t)\\$
Undamped angular frequency ω0
Resistance coefficient κ
Driving frequency ω
Driving amplitude f
[ Repetition frequency
 50 100 200 ]
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
 $\normal Forced\ Oscillation(1)\ equation\\\hspace{25} {\large\frac{d^2 x}{dt^2}}+2\kappa{\large\frac{dx}{dt}}+{\omega_{\small 0}}^2 x=f\cdot cos(\omega t)\\\hspace{35}\omega_{\small 0}:\ undamped\ angular\ frequency\\\hspace{40}\kappa:\ resistance\ coefficient\\\hspace{40}f:\ driving\ amplitude\\\hspace{40}\omega:\ driving\ frequency\\[10](2)\ x=A\cos(\omega t-\delta)\\\hspace{25}A={\large\frac{f}{({\omega_{\small 0}}^2-\omega^2)+(2\omega\kappa)^2}}\\\hspace{25}tan\delta={\large\frac{2\omega\kappa}{{\omega_{\small 0}}^2}-\omega^2}\\$

Sending completion

To improve this 'Forced oscillation Calculator', please fill in questionnaire.
Male or Female ?
Male Female
Age
Under 20 years old 20 years old level 30 years old level
40 years old level 50 years old level 60 years old level or over
Occupation
Elementary school/ Junior high-school student
High-school/ University/ Grad student A homemaker An office worker / A public employee
Self-employed people An engineer A teacher / A researcher
A retired people Others
Useful?
Very Useful A little Not at All
Purpose of use?