Black Holes and Dimensional Analysis - Sixty Symbols

Professor Copeland's handwriting certainly looks like the handwriting of someone who has been writing on graph paper for their entire life. I love it.

Professor Copeland is an amazing guy... I was never in physics but as an educator he's fantastic.

I remember my physics teacher had a custom made red stamp: "non dimensional", she would stamp our papers and wouldn't bother to check anything else if the result was non dimensional. It taught us some really good lesson, because if you get the units right the rest is pretty easy.

Dimensional analysis is by far the most useful thing I learned in physics class. I learned a lot of useful things, but this is the best.

Videos with Professor Copeland are certainly a treat! Love it!

Professor Copeland is such a pleasure to listen to and watch. Blings a smile to my face - and I'm learning at the same time.

Dimensional analysis was not on the A-level syllabus when I was a kid, but we were taught it as a means of checking answers in exams to make sure you were in the right ballpark. I have found it very useful, but care has to be taken when things start rotating, like torque.

You should make more videos with Ed Copeland. I truly like him.

I love how you guys are just having a laugh together while Ed explains his point.

Love Professor Copeland's videos, he always explains things so well

Pluto is a fine example of an object in orbit around the Sun.

I love Prof Copeland. What a great chap and educator!

I found it fascinating that one of the standard works on Aerodynamics, "Fundamentals of Flight" by Richard Shevell, also uses dimensional analysis as a tool to come up with how the different properties of air, geometry and motion influence the result.

Ed is hands down the best presenter on any of Brady's channels.

I'll never forget the day I was first introduced to Dimensional Analysis from my calculus professor. The lecture started with analyzing the units of Newton's Laws, as Professor Copeland demonstrated in this video. Then after a few steps my professor exclaims something along the lines of "there you have it, Kepler's Laws of motion without doing any hard math whatsoever." What an epiphany that was for me as a young student!

always appreciate more of prof copeland's commentary

I like Professor's representation so much. He is always calm and shows those complex things in a simple way to be easily understood.

This is also useful when doing more complex calculations, when carrying around these G and c constants during long derivations can be cumbersome, so when working in General Relativity we can set the units such that c = 1 and G = 1. Essentially, time, mass and distance are all measured in the same units, say meters. To get time, do dimensional analysis: you have time is X meters, you want it in seconds. c has units of meters / seconds, so you divide X by c and get the number of seconds. Thus, the Schwarzchild radius in this case can be written as R_S = 2 M. To get everything in normal units, figure out how many factors of G and c you need to get meters on one side, kilograms on the other. So R_S = 2 G M / c^2 Because of this, I can always remember the mass of the Sun, it is 1.5km (that is, it's Schwarzchild radius is 3km), and easy number to remember. How many kilograms is that? I leave that as an exercise, I am not going to remember *that*.

I just absolutely love Prof. Copeland, his episodes are always my favorite! Most everyone Brady features are both brilliant and fascinating; Prof. Copeland is of course no exception but his palpable enthusiasm and sincere humility set him apart. He’s just effortlessly engaging, for me at least and has the character of the ideal educator. 🤓

Soy un estudiante de física en Paraguay, este canal me inspira a continuar en los momentos dificiles. Gracias.