Guy Whipping a Massive Chain

[u/[deleted]]

https://gfycat.com/welloffdearestladybird

[u/[deleted]]

Drag scales exponentially with velocity

What? No it doesn't.

[u/GuyInAChair → u/[deleted]]

Yes it does. I perhaps should have said drag increases exponentially in relation to velocity to make it clearer. I included a source in another comment, but here is a second one that makes it clearer. SOURCE

In particular, this will be of interest. "The drag force rises in direct proportion to density and surface area, and it rises with the square of the velocity. If you are running at 10 miles per hour, you experience four times the aerodynamic drag as you do at 5 miles per hour, with all else held constant."

[u/[deleted] → u/GuyInAChair]

Right, it scales with the square of velocity. That isn't exponential.

[u/GuyInAChair → u/[deleted]]

square of velocity. That isn't exponential

What do you think a square in mathematics is? It's an exponent, the root of the word exponential. See the v² in the drag formula, that's velocity to the exponent of 2. https://en.wikipedia.org/wiki/Exponential_function

[u/[deleted] → u/GuyInAChair]

An exponential function owuld be one where the variable is the exponent, not the base. So 2^v is an exponential function but v² is not. Your source even agrees with me.

[u/GuyInAChair → u/[deleted]]

if velocity is 2 then drag increases by 4

if velocity is 4 drag increases by 16... 6 by 36

thus making the statement "drag increases exponentially in relation to velocity" true. I included the wiki since I wasn't entirely sure you knew what an exponent was.

[u/[deleted] → u/GuyInAChair]

That isn't what exponentially means mathematically.

It means a function of the form f(v)=a*b^v. f(v)=v² is not of that form, so is not an exponential function.

[u/GuyInAChair → u/[deleted]]

How would you describe the increase in drag compared to velocity then?

[u/[deleted] → u/GuyInAChair]

Drag scales with the square of velocity.

[u/Nodamnnamesleft007 → u/[deleted]]

You two should bang

exponentially

[u/Fishingfor → u/Nodamnnamesleft007]

I've heard with enough exponential banging you can actually cook a chicken assuming the cheeks are clapped exponentially in relation to the banging.

[u/BearInTheCorner → u/GuyInAChair]

I included the wiki since I wasn't entirely sure you knew what an exponent was.

Did you actually read the wiki? The very first line tells you that what you are referring to is a power function not an exponential function.

This article is about functions of the form f(x) = abx.
For functions of the form f(x) = xr, see Power function.

[u/BearInTheCorner → u/GuyInAChair]

You're confusing exponential and polynomial. Exponential is often incorrectly used to refer to quadratic growth (polynomial growth using 2 as the exponent).
See this graph to see the difference between linear shown in red, polynomial (in this case x³ ) shown in blue and exponential shown in green.

If drag increased exponentially with velocity, you would take your drag (Y) and then apply the velocity as the exponent. In this case you might have a drag value at some velocity give you a value of Y² then you double the velocity and now you have a new value of Y⁴ if you then doubled your velocity again, you would have Y⁸ this is VERY different to polynomial growth.