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Changing Angles

Skate blog on math and politics.

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Category: Math

Math2 Comments

“Gears”: what could it mean?

December 4, 2019November 1, 2021 Ⓐ

What might the idea of “gearing” describe in skateboarding? Should it be a catch-all phrase, or could it connote a simple, usable concept? I took this to the forum and had a heated discussion. Continue reading “Gears”: what could it mean?

Math

Protected: Pivot axis angles and wheelbase

July 17, 2019July 5, 2021 Ⓐ

There is no excerpt because this is a protected post. Continue reading Protected: Pivot axis angles and wheelbase

MathLeave a comment
The actual graph of the lean to turn function (given also in the academic literature, but easily derived from basic euclidean axioms) for various pivot axis angles. The x-axis is the tilt of the deck (lean) and the y-axis is the rotation of the axle on the ground from rest.

Axle offset (aka rake): it doesn’t change axle turn

July 15, 2019October 28, 2021 Ⓐ

Here’s a couple of illustrations and a chart just to restate the obvious: tilt/turn is rake-agnostic. Continue reading Axle offset (aka rake): it doesn’t change axle turn

MathLeave a comment

Truck width: wheel travel

July 7, 2019July 5, 2021 Ⓐ

In this, I explain why the wheels travel the same distance, regardless of truck width. The main point is that the circumference of a circle is directly proportional to its radius. So, a circle with a radius x-times as long as another circle will also have x-times the circumference. So, the wheels trace curves of equal length on different truck widths. Continue reading Truck width: wheel travel

Math4 Comments

Trail: Carver’s article “The science of the speed wobble”

July 7, 2019July 8, 2021 Ⓐ

I have been thinking about truck geometry lately and I re-read Neil Carver’s article with more attention. The thing is, the article is dead wrong about what a positive/negative trail is. Continue reading Trail: Carver’s article “The science of the speed wobble”

Math, Political economyLeave a comment

Axle offset (aka rake): urban myths and skate companies

July 7, 2019July 5, 2021 Ⓐ

The other day I was searching the internet about “rake” and speed wobbles and stuff and I stumbled upon Sabre’s webpage on “Truck Geometry.” It was a bit… messy. Continue reading Axle offset (aka rake): urban myths and skate companies

MathLeave a comment

Rear PA angle: inverted rear truck

July 7, 2019July 5, 2021 Ⓐ

What happens when you reverse the rear truck? Nothing much. Reversing is de-wedging and that’s all. Continue reading Rear PA angle: inverted rear truck

Data, Math, Political economy, Sociology2 Comments

Peer-reviewed literature: the math behind pumping

July 7, 2019July 5, 2021 Ⓐ

So, yeah, it exists! The pumping motion is described by these Russian mathematicians (and I must assume, avid slalomers).
The math exceeds me by far, but someone, somewhere, sometime might find this helpful, hopefully. Continue reading Peer-reviewed literature: the math behind pumping

Math

Protected: Truck geometry

July 7, 2019July 20, 2021 Ⓐ

There is no excerpt because this is a protected post. Continue reading Protected: Truck geometry

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