#bs math

Hello!

Prior to studying Accountancy, I am a graduate of an accounting-related degree (BS Accounting Technology). For those graduates of accounting related degrees: Accounting Technology, Management Accounting, Internal Auditing to name a few - there's a bridging program 1-2 years to complete BS Accountancy. You may check out my post regarding this here.

I have no specific knowledge on how a BS Math graduate can pursue Accountancy as a 2nd degree. Maybe the universities/colleges can credit some of your subject. I don't know the extent of what can be credited. I think you can still refer to my old post.

When I was studying Accountancy, I have a classmate who is a Political Science graduate. If my memory serves me right - I believe her 1st year subjects were credited.

say this sure is an interesting video

...

oh hey look at that, at 0:09 that first chord he makes causes a standing wave.

hmm well let's see, the chord is d major so...

the string with the standing wave would be the root note, D of the third octave: 146.83 Hz.

normally this note would have a wavelength of 242 cm, but it's obviously compressed here (due to the rolling shutter of the iphone).

let's get some approximations going...

So the standing wave has a perceived wavelength of 3.9 cm. (I used my own thumb at that angle for reference here.) 

let's say the frame rate = n Hz 

keeping the ratio, you end up with an equation like this:

3.9 cm / 242 cm = n Hz / 146.83 Hz

this comes out to about n = 2.305 Hz

....which seems really strange, but if you assume I've misplaced my decimal point, you get a number that makes sense: 23.05 Hz

In other words, the camera was capturing video at 23 fps, according to the math.

24fps is a pretty common frame rate. a bit of googling and it seems that the iPhone 4 (as used in the video) records at 30fps ideally but drops to 24fps in low light. 

there is low light inside of a guitar.

this checks out.

THIS HAS BEEN ANOTHER EPISODE OF BS MATHTM

remember the last episode of BS MATHTM, where I attempted to calculate the height of a conical flask that I ordered based on a single picture of said flask?

It's a fun post so I encourage you to read it! but more importantly for here, this is the result I came up with:

a height somewhere between 10 and 11 centimeters. 

well, the flask came in today.

here is the result:

CLICK THAT IMAGE AND EMBRACE ITS BEAUTY 

RIGHT ON THE DOT

...except not really. including the unmarked bit at the bottom of the ruler, the height is, in fact, 11cm.

RIGHT ON THE MARGIN OF ERROR

MATH! FUCK YEAH!

oh and what's that weird dusty thing, you may have asked.

well that'd be some granular aerogel. 

it's pretty sweet, though sadly it's nearly impossible to take pictures of it.

so have some pictures:

1/2

BS MATHTM

so apparently the 9cm tall, 50mL flask that I want is no longer manufactured.

so I'll have to go with this 125mL flask I found, instead. BUT I have no idea how tall that is. 

however, I do have a picture of it:

which I can use to sort-of-guess the ratio of various things.

so the angle looks about like...72º I guess.

and the known volume stops before the end of the container. I'm just going to make a very scientific guess of "the 125mL mark is at 50% of the height"

that seems to be about what I was getting anyway. whatever.

-----

so.

what can we do with that?

well, we all know that the volume of a cone can be derived by rotating a linear function around an axis and taking the integral of that:

..and we have enough data to set that up. so let's go!

first we need to get all of our terms in relation to height (h), so the radius (r) becomes h/tan(72)

and since we're only measuring part of the cone, we need to start at the bottom (h). So, setting up the integral:

applying integral...

getting rid of the x and moving stuff around...

and there you go. all that's left is to solve for h.

blam.

the container is PROBABLY about 11cm tall. 

MAYBE