# Unique Pendulum Wave and Release Mechanism

## Step 2: Choosing the Wave

In order to get a nice, smooth pendulum wave, the frequency of each consecutive pendulum should evenly increase. For my wave, I chose 18 pendulums. I chose value this because during a pendulum wave sequence, about one-third and two-thirds of the way through a complete cycle, the pendulums split into three groups. Halfway through the cycle, the pendulums split into two groups. Thus, to have an even number of pendulums in each group, I chose a value that was a multiple of both 2 and 3. 12 pendulums wasn't enough for me, so I chose 18. I set the frequency of my first to 57 cycles per minute, and made each consecutive pendulum's frequency increase by 1 cpm up to 74 cycles per minute. These values are arbitrary (choose whatever looks best to you). Just make sure that frequencies are incremented by a constant value.

In order to make sure that everything looked right, I made a function in Matlab to animate a plot of a pendulum wave. Below are the function (PWT.m) and a video of what the wave should look like from the top view.

In addition to animating a plot of the wave, this finction also records a video. Due to everyone's systems running at different speeds, the "pause()" function in the script will almost inevitably need to be adjusted to give an accurate representation of the animated wave by accounting for computer delay. The video recorder function, however, will record at the actual speed, so I suggest using it to fine tune your pendulum wave rather than the animation.

To generate the movie shown above, after the function is copied into your matlab directory, type:

>> PWT(18,57/60,1/60,60)

To better understand the function, type

>> help PWT()

in Matlab after the function has been imported.
PWT.m1 KB
Remove these ads by Signing Up