# Oscillating tube of water.

### See waves in a real life example with an oscillating tube of water! Modify the slider to change the initial displacement (or amplitude).

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Later, check the desmos
below to see how your changes to gravity and initial displacement affect the model of a wave on a position-time graph.

## Applying our knowledge to a real life example

#### This oscillating tube of water is given to have the following equation for acceleration
$$a=\frac{-2gx}{l}$$
Since we know the general equation for acceleration, we can derive other variables
$$ a=-\omega^2x \rightarrow -\omega^2 = \frac{-2gx}{l} \rightarrow \omega = \sqrt{\frac{2g}{l}}$$
Hence, we know the speed of the wave. This skill of connecting two formulas to find other variables is very powerful.