## The Long now project

## Project Description

A year and a half in the making, this kinematic cube created by the 9th grade

__Strong__/__Swaaley__team of__High Tech High__tells a story about a civilization that goes through the stages of the rise and fall of a civilization. Each panel represents one of the four stages:- Coming together
- Social Construction
- The Dilemma
- Social Dissolution

## Math integration

Math class became

**integrated**to help explore and model the equations that define the...- gear ratios of both the winding mechanism
- the planetary gears on top of the cube
- angular acceleration of the cube
- angle and time between stops
- the number of rotations
- and more

## Student Work

Our students used the online graphing tool

These were our inputs:

__Desmos__and isolated inputs and documented how the change in inputs affected or didn't affect the following our outputs. Students applied their learning of functions to model inputs and outputs.These were our inputs:

- Mass of weights
- Vertical travel of weights
- Compound pulley purchase
- Drive pulley radius
- Planetary Gearset Reduction
- Moment of Inertia
- Radius of Flying Pendulum Arm
- Length of Pendulum Rope

Students modeled how to achieve a particular output. In the image below, our desired output was the number of rotations equally two. The image below represents the function for the number of rotations when mass = 8 kg.

The image below represents the function for the number of rotations when mass = 140 kg. As students observed, the line didn't move off of 2 rotations. They concluded that the mass of the

__weights did not affect the number of rotations.__ Students were also tasked to find out what inputs would yield specific outputs. For example, if we wanted to time between stops to be 5 seconds instead of 2 seconds, students explored various inputs that would make that happen.

These were our 5 desired outputs.

Below you will see student results of the desired outputs and what values of the inputs could make that happen.

These were our 5 desired outputs.

- Number of rotations
- Angle and time between stops
- Final angular velocity of the cube
- Tangential velocity of the ball
- Horizontal deflection of the ball

Below you will see student results of the desired outputs and what values of the inputs could make that happen.

For our Long Now Desmos graph, please click on the link below.

For more information about the Long Now Project, please visit the Long Now Project Summary page

on the GritLab website.

on the GritLab website.