Slide Rules and Mathematics
Slide Rules and Mathematics
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Newton's Second Law
Objects move when a net force acts upon them and they overcome any static friction. Using Newton's Second Law (F=ma or the law of inertia) we can use the mass of the object to calculate the resulting acceleration. We can then apply kinematics to determine velocity, distance moved, etc.
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Переглядів: 230

Відео

Static vs Kinetic Friction
Переглядів 14821 день тому
In this short video, we discuss the difference between static and kinetic friction and how they affect the movement of masses on a surface. We are using Newtons in this example. This means we have already calculated the force of friction. If just give a coefficient of friction, we apply that to the NORMAL force of the mass (while this is the weight on a flat surface, it is less than the weight ...
Newton's First Law
Переглядів 35321 день тому
To understand physics we must understand motion. Newton's First Law of Motion (the Law of Inertia) introduces vectors and net force. In this episode we look at objects on a flat surface and on an incline to understand free body diagrams and net forces. Remember to hit 'Like' and 'Subscribe', your support of this channel is appreciated. Join our Discord Channel at discord.gg/QwcFct7DWc Help the ...
Compounding your Interest in Populations!
Переглядів 40628 днів тому
Here we use the LL scales to study exponential growth of populations, compound interest and understand radiometric dating using Euler's Number and exponential growth. As difficult as this sounds, slide rules make short work of these problems. Whether you are calculating bacterial growth rates or comparing interest on car loans, a little knowledge and a slide rule saves you time and brain power....
What's the Vector, Victor?
Переглядів 763Місяць тому
Working with vectors and solving triangles is an extremely common problem in both mathematics and physics. While doing them on a calculator is relatively easy, so is working the problems on a slide rule. The main difference is that a calculator requires a separate operation for each value, but with a slide rule we can set the problem up once and then read off the answers simply by moving the cu...
Rate of Change
Переглядів 266Місяць тому
Along with an understanding of Trigonometry, a good handle on 'rate of change' problems is a key feature of physics. Here we look at the power rule and how we find the slope of a curve at any point, then reverse it as we work through distance, velocity and acceleration. Remember to hit 'Like' and 'Subscribe', your support of this channel is appreciated. Join our Discord Channel at discord.gg/Qw...
Solving Quadratic Equations
Переглядів 195Місяць тому
Much of the difficulty folks experience with introductory physics is due to the math needed to solve problems. In this video we look at Quadratic Equations and see several ways of solving them efficiently and easily. This really doesn't need to be difficult. Remember to hit 'Like' and 'Subscribe', your support of this channel is appreciated. Join our Discord Channel at discord.gg/QwcFct7DWc Hel...
Putting it all together part 2
Переглядів 184Місяць тому
We wrap up projectile motion in this short video, combining all the equations we have learned and showing how to use them in combination to fully analyze more complex projectile motion. Next we have a quick look at the math we need for free body diagrams and inclines. Remember to hit 'Like' and 'Subscribe', your support of this channel is appreciated. Join our Discord Channel at discord.gg/QwcF...
Putting it all together Part 1
Переглядів 305Місяць тому
In this episode we demonstrate how basic kinematic equations work together. This is a slightly different approach than the textbook takes, but I put it together to minimize the number of equations to memorize (there are only 3, but you need to know how to use them). I also introduce a logical process to solve kinematic problems that has served me well. Remember to hit 'Like' and 'Subscribe', yo...
Displacement by the numbers
Переглядів 299Місяць тому
In this episode we look at more complex cases of displacement- tossed objects. Specifically how do initial velocity and acceleration interact, what is the maximum height of the toss and how long is the object in the air. Remember to hit 'Like' and 'Subscribe', your support of this channel is appreciated. Join our Discord Channel at discord.gg/QwcFct7DWc Help the Channel by joining our channel a...
Motion and Acceleration
Переглядів 262Місяць тому
In this episode we look at uniform motion and acceleration in one dimension. We look at situations of constant velocity and constant acceleration while reviewing the displacement formula d=VIt 1/2at^2. Remember to hit 'Like' and 'Subscribe', your support of this channel is appreciated. Join our Discord Channel at discord.gg/QwcFct7DWc Help the Channel by joining our channel as a member Patreon-...
Awesome Quadratics on Slide Rule
Переглядів 1,8 тис.Місяць тому
As promised, we continue the 'Awesome Slide Rule Series' with how to solve quadratic equations like a boss on the slide rule. It is FAR simpler than you would imagine, and I'm grateful to my friends on the slide rule fan club page on facebook for their excellent suggestions. Here are some cool links... www.antiquark.com/sliderule/sim/n3t/virtual-n3-t.html followingtherules.info/introduction.htm...
How to be AWESOME on a Slide Rule!
Переглядів 4,6 тис.Місяць тому
In this series I'll take what we learned in the Introduction to the Slide Rule Series and show how you can be AWESOME with a slide rule. Here we have a quick review of some of the techniques I'll be using in the next couple of videos- we look at square roots and the relationship between scales as well as solve equations by proportions. Link to the virtual slide rule: www.antiquark.com/sliderule...
Intro to the Cross Product
Переглядів 1572 місяці тому
Another form of vector multiplication is the 'cross product' which is used to find a vector 90 degrees to two other vectors. This is useful in electromagnetism and other applications we've not covered. In this video I just go through a way to calculate it using a matrix. Remember to hit 'Like' and 'Subscribe', your support of this channel is appreciated. Join our Discord Channel at discord.gg/Q...
The Dot Product of Vectors
Переглядів 1232 місяці тому
In this video we look at the multiplication of vectors, specifically the dot product, and how it is useful to find the angle between two vectors. The second of three videos on vector operations, we finish in the next as we discuss the cross product. Remember to hit 'Like' and 'Subscribe', your support of this channel is appreciated. Join our Discord Channel at discord.gg/QwcFct7DWc Help the Cha...
Introduction to Vectors
Переглядів 2022 місяці тому
Introduction to Vectors
Review of Trigonometry
Переглядів 1782 місяці тому
Review of Trigonometry
Working with Dimensions
Переглядів 1172 місяці тому
Working with Dimensions
Converting Units
Переглядів 1682 місяці тому
Converting Units
Working with Units
Переглядів 1742 місяці тому
Working with Units
Fun with Numbers
Переглядів 4612 місяці тому
Fun with Numbers
Radiometric Dating on the SR
Переглядів 9157 місяців тому
Radiometric Dating on the SR
Geometric Mean and Exponents
Переглядів 1,4 тис.7 місяців тому
Geometric Mean and Exponents
Intro to LL scales
Переглядів 3,3 тис.7 місяців тому
Intro to LL scales
Practice Questions 16 to 20
Переглядів 7107 місяців тому
Practice Questions 16 to 20
The Trigonometry Scales
Переглядів 1 тис.7 місяців тому
The Trigonometry Scales
Genius of Precision
Переглядів 35 тис.7 місяців тому
Genius of Precision
Working with Scales
Переглядів 8307 місяців тому
Working with Scales
Practice Questions 11 to 15
Переглядів 4657 місяців тому
Practice Questions 11 to 15
Cosine on the Slide Rule
Переглядів 1,2 тис.7 місяців тому
Cosine on the Slide Rule

КОМЕНТАРІ

  • @eras2730
    @eras2730 2 дні тому

    Thanks! Great video. Just finding out this tool exists after listening to Sam Cooke's Song (Wonderful World) 😆

  • @tristanshelly-ut1ze
    @tristanshelly-ut1ze 7 днів тому

    Hey I'm curious if a slide rule would work the same in a different base number? Can anyone help?

  • @thechef7022
    @thechef7022 11 днів тому

    I'm 14, I'm bored at class and I wanna have some fun, thanks.

  • @scawa1952
    @scawa1952 12 днів тому

    The way I understood the concept was “Newton’s first law of motion is the reason we don’t do ballet in the nude.”

    • @sliderulesandmathematics9232
      @sliderulesandmathematics9232 9 днів тому

      Honestly that thought never crossed my mind

    • @scawa1952
      @scawa1952 9 днів тому

      @ when I thought of the concept, I was studying Classical Mechanics and a bit drunk. That spaghetti has stuck to the wall for me.

  • @CesarGrossmann
    @CesarGrossmann 12 днів тому

    I was wondering, would it be possible to get a small manufacturer (China?) to produce a batch of 1,000 of those nifty slide rules? The ones I find in Brazil are mostly in poor condition, and most eBay sellers of slide rules don’t ship to Brazil.

  • @kurtdietrich5421
    @kurtdietrich5421 13 днів тому

    I remember a question on a Physics test back in 1976. If Lois Lane fell off the top of the World Trade Center and Superman was at the Empire State building, could he catch Lois before she hit the ground. We were given the height of both buildings and the distance between them. How fast would Superman have to travel to save her? The answer was that it was possible for him to get there, but the impact would kill her 😂.

  • @nudie9092
    @nudie9092 17 днів тому

    Anyone watching this video would already know their Trig. I think ur second video explains the first over cooked it. But I’m assume as I watch more this is more of a maths class tutorial and not sextant usage

  • @judybassett9390
    @judybassett9390 26 днів тому

    When walking on ice, is it safer (a) to slide ones feet, or (b) make each step as vertical as possible? Judging by your video, (b) is definitely safer. I have had this argument with someone; (but have not collected experimental data).

  • @theinspector1023
    @theinspector1023 26 днів тому

    I think we call it dynamic friction in the UK.

  • @aaroningram65
    @aaroningram65 26 днів тому

    Like your pen!

  • @judybassett9390
    @judybassett9390 26 днів тому

    Could you make a video about conservation of momentum? Thank you. Also I would like to see a join button.

  • @cybermonkeys
    @cybermonkeys 28 днів тому

    Very nice "straight forward" forward presentation, if you get my drift bob? But, I noticed you neglected to mention the concept of *Mass* in motion or the principle of Inertia. _(Although you may have done, as i didn't actually watch the whole thing! 😅)_ That is essentially Newton's first law. This equation is simply *F=ma* in a different form, so maybe you should have started at the very beginning with a description of *Inertia.* As I've found that is where most people slip up when discussing projectile motion or the orbital motion of planets and tides. Good luck.

    • @sliderulesandmathematics9232
      @sliderulesandmathematics9232 28 днів тому

      I will be addressing those in future videos. I think folks have a pretty good concept of mass as I am using it.

    • @cybermonkeys
      @cybermonkeys 28 днів тому

      Thanks for replying and I'm positive you'll do a good job as I've always been impressed with your manner of teaching, although slightly disappointed when you became embroiled in the pointless flat earth debating team with sighmandan. Personally, I would've written this equation as, *s = ut + 1/2at^2* and drawn the curve on a graph with a negative acceleration of (g). The trouble is that it only deals with a point mass and doesn't take account of a freefall motion in a non-uniform gravitational field. You can see that I spend most of my time in online tussles with people who refuse to accept the existence of apparent forces, especially when it comes to an explanation of tidal forces, so it's always nice to find a fellow soul whose prepared to teach the subject correctly. Hopefully, I can count on your support in my future endeavours. Take care and give my regards to catz.

    • @sliderulesandmathematics9232
      @sliderulesandmathematics9232 28 днів тому

      I was on a team with Sciman Dan?

    • @cybermonkeys
      @cybermonkeys 28 днів тому

      @@sliderulesandmathematics9232 Yeah, I know, but his content has become very tiresome to me, as he just keeps repeating the same old _"let's point at flatheads and laugh."_ In my personal opinion, he doesn't show enough respect to the true master of Physics education, who I'm sure you'd agree, was Richard P. Feynman and his lectures on Gravitation and Inertia are the true benchmark for our understanding of Sir Isaac Newton's Laws of Motion and Einstein's General Relativity.

    • @cybermonkeys
      @cybermonkeys 28 днів тому

      @@sliderulesandmathematics9232 I guess what I mean is that you fired an object horizontally from a cliff and spoke about the constant velocity in the horizontal direction. Then you said, but what if it's accelerating? Is was accelerating. In the downward direction under the influence of a gravitational attraction. Although, that's where I stopped watching, so you may of mentioned it later. Anyway, keep up the good work. Farewell.

  • @donaldeaston9564
    @donaldeaston9564 29 днів тому

    Can I ask a simple question I went on line and downloaded the Simulated Picket N3. How do I “make it work”. Can’t get the curser or slide to move.

    • @sliderulesandmathematics9232
      @sliderulesandmathematics9232 29 днів тому

      You don’t need to download it. Just go to the page, put your cursor on the slide, hold down the left mouse button and drag it. Same with the cursor on the slide rule

    • @donaldeaston9564
      @donaldeaston9564 29 днів тому

      @ thanks Bob. I suppose my issue is, I’m using my iPad. I’ll attach it to my external keyboard and mouse. You know, I’ve found your videos fascinating. I’m 68. I wasn’t great at Mathematics at school (I’m in UK), but I had the urge to get another slide rule…my older brother still has his. I went onto EBay, and have now purchased 15 from different manufacturers. 3”, couple of 5” and loads of 10”. I resurrected my sons old Maths (in UK, we add the “s”) revision books, and been going through the calculation examples. It’s good fun, I will say, Calculus is a foreign language 😂😂😂. Was rubbish at Physics too. I was a Chemistry and Biology person, hence why I studied Haematology. But yes, keep them coming.

    • @donaldeaston9564
      @donaldeaston9564 29 днів тому

      Bob, just attached a Bluetooth mouse to my iPad….and all works 👍👍👍

    • @sliderulesandmathematics9232
      @sliderulesandmathematics9232 29 днів тому

      thanks for letting me know, I've not dealt with an iPad with this.

    • @donaldeaston9564
      @donaldeaston9564 27 днів тому

      @ you are welcome Bob. I brought it up on my PC, works nicely. We get a young delivery guy comes once a fortnight. I was telling him about slide rules. He’s never seen them. His wife was going to be an Actuary, but changed her mind, and now teaches Maths. She hadn’t seen slide rules. I was explain ways of multiplication by means of converting to Log, or using C and D scales. He’s back in two weeks…..Ive to give him a demonstration. I have several Fabre-Castell slide rules. This is what the Edinburgh, Scotland used in class. I do like the 57/82 double sided one. I have a 57/86 and a different one, that only has A,B,C,D scales, and a geriatric one. I also use a 5” one too. It’s just nice to noodle. Perhaps if I was this enthusiastic in 1972/1973, I might have passed my Exams. I just didn’t understand Maths and Physics. I did Statistics and Arithmetic, and they were easy. I was also, as I’ve said, really good at a chemistry and Biology, Hence my career in Diagnostic Haematology.

  • @portaminast7265
    @portaminast7265 29 днів тому

    a very interestimg video. great!

  • @hadz8671
    @hadz8671 29 днів тому

    Trivia - the log-log scale was conceived, contrived, created, designed, developed, devised, formulated, innovated, invented, originated by Dr. Peter Roget.

  • @jean-pierredesoza2340
    @jean-pierredesoza2340 Місяць тому

    May I remind a trick I already mentioned here, allowing to calculate the norm (or length) of a vector, which is the square root of the sum of the squares of its coordinates. Here in the 2D space, that would be the square root of x^2 + y^2. - Align the value of y^2 on the mobile B scale under the fixed 10 of scale A - Read the value m on fixed A scale, in front of x^2 on mobile B scale. - Mentally compute 10 + m, and align the cursor on fixed A scale at the result position. - On that alignment, you can read the sum x^2+y^2 on scale B and its square root on scale C.

    • @sliderulesandmathematics9232
      @sliderulesandmathematics9232 Місяць тому

      I'll have a look at that in detail.

    • @jean-pierredesoza2340
      @jean-pierredesoza2340 Місяць тому

      I first thought it was a clever approximation, but it is not, it is just maths : Given a setup of the mobile scale, all the readings have the same ratio. Once you align 2 and 1, you have all the results you want 2x2 or 2x3 or 2x1.5. So here we have a 10/y^2 = m/x^2, and if the maths are correct it should also be equal to (10 + m)/(x^2 + y^2). And it is easy to demonstrate it. We find m = 10 x^2/y^2, so 10 + m = 10 + 10 x^2/y^2 = 10/y^2 * (x^2 + y^2) , let's divide both sides by the sum of squares... (10 + m)/(x^2 + y^2) = 10/y^2 QED

  • @ericrinehart6643
    @ericrinehart6643 Місяць тому

    Thank you for another great video with a practical application for slide rules! You’re right, vector calculations are much easier and faster with a slide rule than a digital calculator! I have one question: What type of fountain pen do you use in your videos?

  • @colinrobert-kv2up
    @colinrobert-kv2up Місяць тому

    Well bob its me again, 1400-1642 math time a time of , simple people,small number,then,refined now,1950s era math great,ours greatest of all man's math now common without hate,here,keep it here only library and library way, book kept,many copies only, now...John.

  • @colinrobert-kv2up
    @colinrobert-kv2up Місяць тому

    Thanks Bob, try this logic, .25 a b/c4=? 4parts multiple what? Of .25, makes 1, 1/4.so 1/16= 4*4=16. Base change.

  • @colinrobert-kv2up
    @colinrobert-kv2up Місяць тому

    I use (x-90),(x-180) with cos-1 c/b , a/b=angles sometimes use. +90, brg=+180 too. John.

  • @colinrobert-kv2up
    @colinrobert-kv2up Місяць тому

    Try double x,x angle,then double y,y angle, sin-1(C/B),cos-1(A/B),cos-1(C/B). Y ,cos-1(A/B),cos-1(C/B),sin-1(C/B). Double angles. John.

  • @colinrobert-kv2up
    @colinrobert-kv2up Місяць тому

    .25 a b/c1=1/4 base of one try other bases,4,8,16,32,64 have fun.,

  • @doriandemaio280
    @doriandemaio280 Місяць тому

    Thanks for reminding me of the good times with my slide rule in engineering school. Use of the slide rule engaged you in the problem solution more so than use of computers, something we've lost along the way. And, it's nice to hear from a real science guy instead of that fraud with a similar name.

    • @sliderulesandmathematics9232
      @sliderulesandmathematics9232 Місяць тому

      Do you have any suggestions for future episodes of ‘practical slide rule’. Any kinds of problems you found well suited to the slip stick?

  • @kurtdietrich4770
    @kurtdietrich4770 Місяць тому

    roger, Roger!

  • @bjen2005
    @bjen2005 Місяць тому

    @Bob --- Love this channel !!!! Been following along with my trusty K&E 4081- 3 Decitrig. Keep the videos coming.

    • @sliderulesandmathematics9232
      @sliderulesandmathematics9232 Місяць тому

      Have any topic requests ?

    • @bjen2005
      @bjen2005 Місяць тому

      @@sliderulesandmathematics9232 None at this time. I just wished more people took interest in one. My father showed me how to use the basics of one years ago and I truly believe it made me better at math. I try and use it all the time since I am fascinated with it. Keep the videos coming so I can learn even more.

    • @sliderulesandmathematics9232
      @sliderulesandmathematics9232 Місяць тому

      I think I’ll look at exponential growth and decay/interest

  • @hansheaphy
    @hansheaphy Місяць тому

    Currently studying calculus and this has shed some significant light on what the numbers mean. Math is a cool tool! Thank you very much

    • @sliderulesandmathematics9232
      @sliderulesandmathematics9232 Місяць тому

      You are welcome. I'm taking refresher classes now, currently in Calc 2 and linear algebra. I'll be in calc 3 and diff eq next term.

  • @charmersify
    @charmersify Місяць тому

    Have you done your slide rule presentation to the math club students?

  • @gene2024
    @gene2024 Місяць тому

    Just got my Pickett N4-ES in the mail yesterday. Gave it a good (mild) cleaning and lubricated it with dry teflon . SMOOTH! I haven't had a slide rule in my hands for 50 years. This will be fun learning again. When I was in college, I'm afraid I only learned the minimum in order to make it through my chemistry and physics courses. Looking forward to some self-learning of pre-calculus and trig. Keep up the great work!

  • @JohnLeePettimoreIII
    @JohnLeePettimoreIII Місяць тому

    i just want you to know that we're all counting on you - for a good video. (surely you will, with a title like that.)

  • @judybassett9390
    @judybassett9390 Місяць тому

    Thanks for another awesome slide rule video.

  • @martinfiedler4317
    @martinfiedler4317 Місяць тому

    Thanks! Looking forward to the next practical problem 😁

  • @portaminast7265
    @portaminast7265 Місяць тому

    yeeaaaa thanks for this videos!! Time to grab my sliderule!!!

  • @sandcat-maurice
    @sandcat-maurice Місяць тому

    Thanks for this amazing stuff. Never was very good at math in my young years, but since I started to figure out and use slide rules, math became much more ‘logical’ and interesting!

  • @billynair
    @billynair Місяць тому

    That's just 1 example... All the stars move, called stellar parallax, tells us our orbit diameter, star distance, etc

  • @markh.harris9271
    @markh.harris9271 Місяць тому

    Mine is the Pickett Dual-base Log-Log yellow From the Apollo era. marcus

  • @williamwells3026
    @williamwells3026 Місяць тому

    It was been a long time since I took calculus. I do remember that integral calculus was harder than differential calculus.

    • @sliderulesandmathematics9232
      @sliderulesandmathematics9232 Місяць тому

      I think it is easier- differentiation was difficult because it was all new to me

    • @donaldeaston9564
      @donaldeaston9564 Місяць тому

      Even at the time..,Calculus was a foreign language to me. I’ve been away from school for 50 years.

    • @williamwells3026
      @williamwells3026 Місяць тому

      @@donaldeaston9564 It's been thirty years since I took calculus.

  • @theinspector1023
    @theinspector1023 Місяць тому

    Excellent. Concise and to the point.

  • @judybassett9390
    @judybassett9390 Місяць тому

    Thanks for this video. I was just reviewing this on Brilliant. But no fountain pen?

  • @ShamrockBanksObservatory
    @ShamrockBanksObservatory Місяць тому

    Notice the mistake I made at the end. Could you have caught it on the ‘smell test’?

  • @solivagant1170
    @solivagant1170 Місяць тому

    Thanks. I'm currently learning quadratic equations and projectile motion problems in physics. I was wondering how I could use my slide rule for those.

  • @sped2001
    @sped2001 Місяць тому

    Really neat trick for getting square roots with CI and D. I've been practicing it on my Decilon. Thanks for sharing!

  • @ericrinehart6643
    @ericrinehart6643 Місяць тому

    Thank you for these videos! I am a slide rule collector and enthusiast, but I haven’t used a rule professionally or “in anger”😂. Your videos, and Professor Herning’s, provide a lot of insight to help us get past “2 x 2 = 4” operations!

  • @hadz8671
    @hadz8671 Місяць тому

    Awesome indeed.

  • @frogandspanner
    @frogandspanner Місяць тому

    Much of Physics requires only 2sf. At school I learned how to perform mental arithmetic, including sines and cosines &c, to 2sf rapidly enough to beat slide rule users. Beyond 2sf I'd use log tables - I still have my 1960s school copy. I bought my first calculator when I was about 50!

  • @ZDTF
    @ZDTF Місяць тому

    I never lose I'm back And now I know a Lil bit of physics stuff Distance= Oh wrong one Speed=Distance/Time Oh wait can I do this? Speed*Time=Distance Woah

  • @ZDTF
    @ZDTF Місяць тому

    Ok Im 2 minutes in and Im already cooked I quit Brain boom

  • @ZDTF
    @ZDTF Місяць тому

    Woah an old person teaching math stuff My friend said I have to click on them if I see em on UA-cam Well It's Watching time But I'm probably gonna understand nothing cuz it looks like big people stuff