Maps for Math

You need math. Here’s the map.

Every exhibit is already working. Tap one, change something, and related exhibits grow around it.

Ohm’s Law & Electrical Power: 60 W bulb on 120 V.

Ohm’s Law & Electrical Power

Twelve formulas, one wheel. Know any two and find the other two.

200 nm at 120 kt takes 1:40 h and burns 11.7 gal at 7 gal/h. With taxi and a 30-minute reserve you need 16.6 gal; with 19 gal on board you'd land with about 50.9 minutes of fuel.

E6B time and fuel: will it make it with a reserve?

Distance over groundspeed gives time; time times burn gives fuel. Then leave something in the tanks.

With 12 V across 10 Ω, a current of 1.2 A flows and the resistor turns 14.4 W into heat.

Ohm’s law: how much current flows?

Push harder (volts) or squeeze tighter (ohms), and watch the current change.

Thrown at 10 m/s and 27° from 2 m up, the ball peaks at 3.05 m, stays in the air 1.25 s, and lands 11.2 m away.

Throwing a ball: the quadratic arc

Every throw, jump, and fountain draws a parabola.

At 110 kt and 2°, the wing makes 13.1 kN of lift, 1.21 × the weight. Air over the top moves at about 134 kt, and the plane stalls below 54 kt.

Wing lift: why twice the speed means four times the lift

Lift grows with airspeed squared. Bernoulli, angle of attack, thin air, and the stall, all on one curve.

The plans cost the same, $43.00, at 11 GB. At 13 GB, Plan A costs $49.00 and Plan B costs $44.00, so Plan B is cheaper.

Phone plans: finding the break-even point

Two plans, two lines. Where they cross, the price is the same.

Loaded, the airplane weighs 2,210 lb with its center of gravity at 42.13 in. The limits here are 35–47.3 in and 2,550 lb, so it is inside the envelope with 340 lb to spare. After burning 10 gal, it lands at 2,150 lb with the CG at 41.97 in.

E6B weight and balance: where the center of gravity lands

The CG is a weighted average. Load people, bags, and fuel, and watch the dot move in the envelope.

Maps for Math

Every exhibit is live math you can play with. Change a number and watch the answer, the graph, and the work update.

76 live exhibits · 16 kinds of math