Potential Energy & Gear Ratio Calculator
Design your battery before you build it. Adjust the sliders to see how weight, height, and gear ratio interact.
⟁ Design Your Battery
System Anatomy
This Is Happening at Grid Scale Right Now
The Full Module — Reading Mode
What This Is
Before electricity, the most reliable way to power a machine automatically was a falling weight. Mechanical clocks, kitchen spit-roasters, and astronomical telescope drives all used this principle: wind a rope around a spool, lifting a weight into the air, storing gravitational potential energy. As the weight falls, it turns gears. A fan fly governs the release speed using air resistance. You are building a working power source that releases energy at a sustained, usable rate.
The Physics of Stored Energy
Gravitational Potential Energy: PE = m × g × h, where m is mass in kilograms, g is 9.81 m/s², and h is height in meters. Double the weight, double the energy. Double the height, double the energy. A 20 lb (9.07 kg) weight lifted 1 meter stores 89 Joules — enough to power a 10-watt LED for about 9 seconds, or run a mechanical clock for hours because mechanical systems use this energy far more efficiently than converting it to electricity.
The Gear Train — Same Law as the Lever
A gear train does the same trade-off as a lever, block and tackle, or any other simple machine: it trades force for distance (or torque for speed). If your large gear has 52 teeth and your small gear has 13 teeth, the gear ratio is 4:1 — the small gear spins four times for every one rotation of the large. Torque is divided by four; speed is multiplied by four. Work in still equals work out. The law hasn't changed since the lever module.
The Fan Fly Governor
Without the fan fly, a 20 lb weight free-falls and reaches the ground in under half a second, destroying everything. The fan fly — flat paddles on the fastest shaft — pushes against air. Drag grows as the square of velocity: double the speed, quadruple the drag. This means the system finds equilibrium automatically: as the weight speeds up, drag increases until it exactly balances the driving force, and the weight descends at a steady, constant, useful speed. This is a self-regulating governor with no external control mechanism.
Historical Context
Weight-driven clocks are documented from 13th century Europe. Kitchen spit-jacks powered by falling weights were common from the 16th to 18th centuries. The fan fly governor predates the centrifugal governor by centuries. Pumped-storage hydropower plants — the dominant form of grid-scale energy storage right now — work on exactly this principle at industrial scale.
Field Engineering: Step by Step
Build It For Real
Materials
Field Data Log
| Measurement | Your Value |
|---|---|
| Weight (lbs) | |
| Weight (kg) [× 0.4536] | |
| Drop height (m) | |
| PE = m × 9.81 × h (Joules) | |
| Large gear teeth | |
| Small gear teeth | |
| Gear ratio (Large ÷ Small) | |
| Full-charge run time (s) | |
| Run time after modification (s) |
Complete Project Checklist
Phase 1 — Mathematics & Sourcing
- Weight sourced, kg equivalent calculated
- Drop height measured, meters calculated
- PE calculated in Joules (PE = mgh)
- Gear teeth counted on both gears, ratio calculated
- Steel axle rods and skateboard bearings sourced
Phase 2 — Engineering the Battery
- Structural lumber frame built with rigid joints
- Axle 1 in bearings (spool + large gear)
- Axle 2 in bearings (small gear + fan fly)
- Fan fly built and balanced to hang horizontal from any angle
- Gears aligned, system spins freely with no binding
- Rope attached with bowline, spool end-stops confirmed
Phase 3 — Testing & Arts-as-Attention
- Drop zone established and cleared
- Fan fly installed before weight released under any load
- Battery charged and released — steady governed descent achieved
- Run time measured and recorded
- Engineering modification attempted, new run time recorded
- Gear ratio and PE calculation on field schematic
- Complete schematic with all components and dimensions drawn
- User manual written and tested by family member