Trig Review for Physics - Common Math Tools - Physics 101, AP Physics 1 Review with Physics Girl

Рет қаралды 101,936

Күн бұрын

Creator/Host/Writer: Dianna Cowern
Producer: Laura Chernikoff
Head Writer: Jeff Brock
Researcher/Writer: Sophia Chen
Editor: Levi Butner
Exercises in this video:
Problem 1: 1. You are running north-east at a speed of 4 m/s. What component of your velocity is north? How about east?
Problem 2: You are kite-surfing and your kite is pulling you upwards at an angle of 60º with respect to the ocean, with a force of 1200 Newtons. What component of that force is up? How much of it is sideways, parallel to the water?
Problem 3: Extra Credit: You are swimming across a river, swimming perpendicularly to the current. You can swim 1 m/s. The river has a current of 2 m/s. With respect to the shore, what is the angle of your resulting velocity vector? How fast are you swimming over the riverbed?
Dianna Cowern - Executive Producer/Host/Writer
Jeff Brock - Lead Writer/Course Designer
Laura Chernikoff - Producer
Levi Butner - Videographer/ Video Editor
Sophia Chen - Researcher/Writer
Hope Butner - Production Assistant
Andy Brown - Curriculum Consultant
Set Design - Lauren Ivy
Vanessa Hill - Consulting Producer
Aleeza McCant - Illustrator
Alicia Cowern - Transcription
Consultant - Kyle Kitzmiller
Lucy Brock, Samantha Ward - Curriculum Consultants

Пікірлер: 511

@tekvax01 3 жыл бұрын

Diana, your penmanship with a sharpie is amazing!

@CHRIS_HITCHCOCK 3 жыл бұрын

I left school 45 years ago none the wiser about sin, cosin and tangents. I was totally baffled by the concept. Today at 61 years old I learnt what they are and just how cool physics is. That’s the difference a decent teacher makes. Thank you Diana.

@pkraja8723 3 жыл бұрын

Dianna trying so hard with the puns and still succeeds....

@AxxLAfriku 3 жыл бұрын

I could cry when looking at my like dislike ratio. I have so many jealous people that my videos always get way more dislikes than likes. Please don't be jealous, dear pk

@oreubens 3 жыл бұрын

yeah, she's really hammering those home.

@erika17f.u..e0nyic2 3 жыл бұрын

💝💖

@kiyoponnn 3 жыл бұрын

@@AxxLAfriku go away

@willythemailboy2 3 жыл бұрын

At 11:20 she should have used the last tool pun. "Here are some problems to work at home to really (screw) drive these concepts home."

@vsm6847 3 жыл бұрын

These puns will help trig-ger my memory for sure 😏

@thalesnemo2841 3 жыл бұрын

Makes cents! 🤪

@aditipandey7748 3 жыл бұрын

"Physics made easy by Diana"

@dollyedits7356 3 жыл бұрын

Agreed

@rudeus6621 3 жыл бұрын

Noice

@batteryjuicy4231 3 жыл бұрын

wdym? it's the same as in school... equally awesome! instead of a board, it's paper

@skdas3468 3 жыл бұрын

I second that

@chitrang2441 3 жыл бұрын

Not really

@llaauuddrruupp 3 жыл бұрын

I really like these more "tutor" type videos with writing and drawing. More please :-)

@QuestionEverythingButWHY 3 жыл бұрын

“I learned very early the difference between knowing the name of something and knowing something.” ― Richard P. Feynman

@april18f.u..e0nyic5 3 жыл бұрын

🔞💛🍑💖

@colon-Thorn 3 жыл бұрын

@@april18f.u..e0nyic5 R.P. Feynman is very disappointed by you .

@Mark-dc1su 3 жыл бұрын

Answers? . . . 1) n and e both 2.83 m/s 2) horizontal: 600 N vertical: 1039.23 N 3) theta: 26.6deg, x=1.12m/s

@hafsaalneyadi8355 3 жыл бұрын

how do you solve Q1?

@bgm_identifier 3 жыл бұрын

@@hafsaalneyadi8355 North East means a direction bisecting 90 degrees of N and E, so the theta will become 45 degrees thus, 4 multiplied by sin(45) will give you the answer.

@bgm_identifier 3 жыл бұрын

Hey Mark, are u sure velocity over riverbed is 1.12 m/s ?? I got 2.23 m/s with both sides and angle as 26.56 degrees.

@Mark-dc1su 3 жыл бұрын

@@bgm_identifier No, I definitely am not sure I'm right. You likely are correct.

@vulnere2550 3 жыл бұрын

@@bgm_identifier I got angle 63.4

@ronhonick549 3 жыл бұрын

I vaguely remember struggling through trig in 10th grade and hated it, though I went on to become an EE. I'm now retired and don't think I ever used that "wonderful" math stuff since college. I have no idea why I even clicked "Trig Review," but am glad I did. I understood more from your video than an entire course. Thanks!

@PapaFlammy69 3 жыл бұрын

>trig

@benschneider766 3 жыл бұрын

wassup papa

@tejasdeepsingh456 3 жыл бұрын

What a coincidence. I was studying Trigonometry right now!! Will Update/Edit on the lesson ;)

@SamiKankaristo 3 жыл бұрын

9:11 This is pretty useful, I never realized the sine and cosine for those angles are such neat values. They're even easier to memorize, if you think of them as: √0/2 (= 0/2 = 0) √1/2 (= 1/2) √2/2 √3/2 √4/2 (= 2/2 = 1)

@FlyingSavannahs 3 жыл бұрын

Yep. Just add 0.7071 and 0.8660 to your mental library and you'll be drillin' it!

@karen23826 10 ай бұрын

Yeah I’d never made the connection of that pattern before 😊

@The_Math_Enthusiast 3 жыл бұрын

We were taught this acronym to remember trig ratios: Some(sin) People(perpendicular) Have(hypotenuse), Curly (cos) Brown (base) Hair (hypotenuse) Tightly (tan) Pulled(perpendicular) Back (base).

@shanehebert396 3 жыл бұрын

Some Old Hen -> sin opposite hypotenuse Caught Another Hen -> cos adjacent hypotenuse Taking Oats Away -> tan opposite adjacent

@The_Math_Enthusiast 3 жыл бұрын

@@shanehebert396 Oo nice...

@JNCressey 3 жыл бұрын

"HIS BIS(cuits)" - Height Is Sine, - Base Is Cosine. This is when the hypotenuse is 1, and the angle you're using is the one at the base.

@jerrybyers2172 Жыл бұрын

Vector analysis is used extensively in aviation. E.G. to calculate a "crab" angle to use in compensating for a crosswind in order for the plane to travel a straight line to the destination.

@bbtamuli5437 3 жыл бұрын

I am literally obsessed with Diana's style of teaching.....!

@nishthasharma22 3 жыл бұрын

Thank you so much Diana, I am really very obliged to you!! THANKS A MILLION!!

@tbirum 3 жыл бұрын

I have been downloading all of your Physics 101 videos into a folder I keep on my computer so that I can become more acquainted with Physics. Some times I watch your videos and my brain starts to hurt, so this way if I need to watch them more then once i can just go to my folder and watch them as many times as i need until the info sticks, then I can also quiz myself by watching your video and then when you ask a question, I can pause the video and see if I have learned enough to be able to answer your question. it is slow going, but I am learning about physics because of your videos. so THANKS TEACH!.

@cameronbrown7231 3 жыл бұрын

I’m so glad you happen to be doing this series at the same time that I am taking my first physics course!

@samukuttan 3 жыл бұрын

Loving learning physics at 32. Wish I had a teacher like her during my school days. Lots of respect for you diana teacher.

@TimSheets 3 жыл бұрын

I swear that was a whole semester of math in hs and you did it in 10 minutes! :-)

@QuestionEverythingButWHY 3 жыл бұрын

“The mind is not a vessel to be filled, but a fire to be kindled.” ― Plutarch

@FerrariKing 3 жыл бұрын

I wish this video was out in the early 1990's when I took trig.

@john-or9cf 3 жыл бұрын

Ferrari King ‘90’s...try 60’s, youngster! 😂😂. Of course, my teachers never looked like Dianna...

@john-or9cf 3 жыл бұрын

Giant Atom Inc. no they were either my current age (I.e., as in methuselah) or men...so, no Dianna’s...

@john-or9cf 3 жыл бұрын

Giant Atom Inc. yeah, we do! Had a few really good teachers but I had a physics teacher in HS who hated me - I asked questions he didn’t like - got back at him by becoming a physicist! Totally obsolete now, but it was fun while it lasted. 😂

@TraneFrancks 2 жыл бұрын

You know, Dianna, this Physics 101 series has turned out to be far more interesting than this 60-year-old IT guy ever would have thought. My grasp of math stumbled when we hit trig in high school. Bad student/teacher combo never had me recovering. All these decades later, my mathematical illiteracy is annoying. The content you, Jade (Up and Atom) and Matt (PBS Spacetime) present would see me benefit from revisiting those tarnished skills. Remedial math incoming. Thanks for the inspiration.

@sailingeric 3 жыл бұрын

Your extra credit question has a real life use for me. I enjoy sailing and two big things we look at is Speed Over Ground (SOG) and Velocity Made Good (VMG) to our destination and I knew generally how it is figured but it being several years since high school trig class, it was good to see a refresher course on vectors.

@samyukta4746 3 жыл бұрын

Hey Diana!! Just, wanted you to know, your channel is the reason I LOVE physics. You're AWESOME!!!!

@gregnorris9447 3 жыл бұрын

Diana, you are a one woman army battling the spirit of the times! Please keep it up! This was the best video, especially in terms of concept, that I've seen in a while!

@patterrr 3 жыл бұрын

Thanks so much for this refresher, it has been MANY years since my trig class. Note that at 4:22 you said "ratio of the adjacent side to the hypotenuse" but I think you meant "ratio of the OPPOSITE side to the hypotenuse". I was confused because the math didn't work out, until I realized it's the ratio of the opposite side to the hypotenuse. I'm sure it takes a million takes to present so much information. I love the clear presentation with the sharpie drawing as you go. Would love more videos like this!

@itsmeyahgirl3878 3 жыл бұрын

Another great lesson from our very own Physics Girl! Aha! Waiting for your next lesson! 💗💗

@JV-pq3qn 3 жыл бұрын

I always wondered what those buttons did on the calculator. Your one of the best teachers I've ever seen

@tayyabnoor6792 3 жыл бұрын

I really love the way, you try to catch the marker.

@badasswood 2 жыл бұрын

I'm a builder, and often work in tree removal, and dynamic loads, I like your easy to understand explanation of advanced confusing math that we use in our business to calculate things, I have always understood the basics of it, but never been great at using it, only minimally understand sochatoa...

@stevet6676 3 жыл бұрын

Nice! I majored in chemistry, but I took as many physics classes as possible in college (1970's!!!). I plan to go through your entire series. Thank you!!

@imyasharya 3 жыл бұрын

11:27 Problem 2: Up force - 600√3 N Sideways force - 600 N

@flick1599 2 жыл бұрын

How?

@bobbyloki 3 жыл бұрын

Love the show and the the way you portray the information. Keep up the awsome work! By the way where can I score that swet hoodie?!

@stevensmith2182 3 жыл бұрын

Love it girlie. I'm taking time out of my day to show my 4 nieces your show. THANKS

@Arpita_Chhabra_ 3 жыл бұрын

Thx a lottt diana this series is fire🔥❤️

@liamdacre1818 Жыл бұрын

I love the video. You explained it really well and made it look so simple. I understand it a lot better now

@DougHousley 3 жыл бұрын

Whenever I hear the word "vector," my mind always quotes the movie Airplane! "What's our vector, Victor?" Lol

@Vector_Ze 3 жыл бұрын

Yeah, and my name actually IS Victor. In school, my nerdy friends ran that line by me all too often, heh.

@Woad25 3 жыл бұрын

That's what you think of? Surely you can't be serious...

@DougHousley 3 жыл бұрын

@@Woad25 I am serious. And don't call me Shirley! :D

@daisukekanbe5310 3 жыл бұрын

i think of vector perkins

@thomasknuth4692 3 жыл бұрын

It has been more than 25 years since I was enrolled in trigonometry at University. I'm quite disappointed to see how many of these Concepts I have banished from memory. Time to refresh. I forgot how interesting this really is! Love it!

@mikeevans7562 3 жыл бұрын

1:41 In either orientation of the triangle the sides, as the angles get towards 90 90 0, could be 1 1 0, or any finite length no need for them to be infinite. It would be a line segment instead of a line

@ComedicEnigma 3 жыл бұрын

Love these lessons so much. Thank you! Also where did you get the very cool formula hoodie?

@lithros1 3 жыл бұрын

You really hammered those pun home. Loved every minute!

@mousamuneebexplorer 3 жыл бұрын

Great teacher!! I happened to see your channel by chance and it is great.

@Chicken12151 9 ай бұрын

Thank you so much i am struggling in physics as a high school student and you helped me so much!

@sagnarte6074 3 жыл бұрын

Perfect timing, I am about to have a test on this topic in a few days! We just learned about how to use trigonometry in projectile motion, so this really helps! I must study aaaaaaaa.

@liquidsonly 3 жыл бұрын

As an engineer, the mnemonic we were taught in college to remember SOH CAH TOA was very rude. Which is why I remember it 50 years later.

@jimsn9624 3 жыл бұрын

Wow 😳 I always wondered was cos, sin, and tan meant on my calculator! Thanks Diana!!! I love it!

@lithu755 3 жыл бұрын

Loved all the physics classes 😃

@deepakjoshi823 3 жыл бұрын

Great explanation Ms. Diana! It's always real fun to learn from you!😂❤

@AyameFyuu Жыл бұрын

Not me jumping with joy at finally being able to understand what trig was trying to tell me so can use for physics. Thank you so much.

@omniscient8885 3 жыл бұрын

Please do not stop this series until it is finished...love from 🇮🇳

@jbr84tx Жыл бұрын

Yes Dianna, you make physics fun. So many cool things you can do and figure out!. Now I know how those laser distance calculators can tell you how tall a building is by pointing at the top.

@Micetticat 3 жыл бұрын

I like how you point out that there is a pattern in the sine values of 0 30 45 60 and 90 by adding (√1)/2 and (√4)/2 in the list! I have never noticed that pattern despite using trigonometric functions on a daily basis!

@jlunde35 3 жыл бұрын

It helps me to think about cosine as how far away it is (x-axis) and sine as how high it is (y-axis) from the measured angle.

@cloud4323 3 жыл бұрын

Thanks Dianna. It was good for my revision .

@grrrgrl101 Жыл бұрын

Love this well done

@chrispeoples4606 3 жыл бұрын

Great timing! I'm teaching this very topic in my AP Physics 1 class tomorrow (Fri., 9/11). Just started vector components after having taught graphical vector addition. When explaining what a vector is, I explain that a magnitude is a 'how much' and the direction is the 'which way' the 'how much' acts. Using two 10 letter words to define a 6 letter word doesn't necessarily improve understanding. Another good resource on trig and vectors is the Mechanical Universe episode (#7?) On vectors available here on KZfaq.

@benjaminjvredevelt 2 жыл бұрын

Thanks for the meat on this one!!

@BurstingVeins1 3 жыл бұрын

Awesome! My sister made me a hooded longsleeve shirt with that same Physics print fabric when I got my Physics degree😍.

@Ed-quadF 3 жыл бұрын

Thank you Dianna. I wanna say you have no idea how much this is appreciated, but I think you do. Also, heard a lot of good bands play at SOHCAHTOA.

@swyman10 2 жыл бұрын

Trig knocked me out of pre-med at OSU…3 times…I had to drop the 3 hr class & then I finally changed my major! Oh well…I would have been a lousy Doctor anyway as I barely tolerate people anymore, LOL! Diana, you are great, glad I recently found your channel, thanks.☮️

@swyman10 2 жыл бұрын

I’m still lost!!! On to the next video!

@prinashah1427 3 жыл бұрын

Dianna you made physics very easy and interesting thanks alot🙏🙏

@neoanderson7 3 жыл бұрын

So many high school memories came flooding back.. Whenever Dianna refers to the tools had me cracking up.. lol :-)

@kirknorman2403 3 жыл бұрын

Thanks for this video. My 7th graders, that are rocking math, always start getting trig functions when they take adaptive tests. Now I can direct them to this a couple weeks before and win any bragging rights they can👍

@Gjorten 3 жыл бұрын

If my teachers were half as good at explaining and demonstrating as Diana. I might've actually pursued a higher education. I'm 34 and just now understood sin, cos and tan. Truly enjoyed this video, thank you Diana :)

@markmailloux2095 3 жыл бұрын

Nice job on these videos!

@UddhavL 3 жыл бұрын

Its like going back to highschool. (Never understood this in Highschool. Loved the video and understood the concept. Would like more of these videos)

@jkobain 3 жыл бұрын

Oh, punny Dianna! Glad to see and here you again!

@jonakers704 3 жыл бұрын

I just realized who you are reminding me of... my old Algebra I teacher I had in 8th grade. It isn't that she taught a lot of trigonometry, but in how she taught. She would use an overhead projector with a scrolling loop of celophane that she would write on so that she could go back to previous things she had done if need be, etc. The way you are writing on these pieces of poster board remind me of that. Your presentation by voice and humor also remind me of her. I never really learned acronyms like SohCahToa, etc. because I just don't learn that way... I have different methods for remembering the trig rules like this... basically two rules: Tangent is opposite over adjacent, and TAN=SIN/COS. From those two rules, you can derive the rest.

@adityachk2002 3 жыл бұрын

It’s a nice place to study the room and the clothes and the vibe

@tree_carcass_mangler 3 жыл бұрын

Great lesson - thanks for creating and posting. I had to back it up a couple times in different places 'cause it moved a bit too quickly for my brain. But overall I really wish you had been my high school trig or physics teacher.

@imyasharya 3 жыл бұрын

11:22 Problem 1: 2√2 m/s North and 2√2 m/s East (assuming North East vector make π/4 with East).

@dimension2788 2 жыл бұрын

Soh Cah Toa. good to hear it again. Good for calculating shadow angles for solar.

@srf2112 3 жыл бұрын

Physics Girl I just found you on the" It's Ok to be Smart" channel. I need these intelligent videos more than ever now. Thank you for the antidote to the cut/paste, opinion vomiting nonsense that is unfortunately the KZfaq norm.

@SA.abbasi 3 жыл бұрын

Nice Diana very well done

@Shihab1979 3 жыл бұрын

Thank you so much

@bryanjaym.irog-irog2732 3 жыл бұрын

You make me love physics even more ❤

@konstantinkurlayev9242 Жыл бұрын

Thank you!

@tomhauer6528 3 жыл бұрын

Love the fabric.

@godwinsushilrath4141 3 жыл бұрын

Diana, you are a very good teacher👍

@MrRRongen 3 жыл бұрын

The dutch version I learned actually translated quite well to English, soscastoa where the s stands slanted. I remember it by the ship Castoa sends out an SOS.

@himanshuchauhan940 3 жыл бұрын

Loving physics 101 amazing videos,

@JessWLStuart 3 жыл бұрын

I remember Sine is Opposite / Hypotenuse and Cosine is Adjacent / Hypotenuse because S and O come after C and A in the alphabet, respectively.

@imyasharya 3 жыл бұрын

11:02 When I was learning about it in my class, I had a misconception that the resultant vector will have the magnitude of the sum of its two components.

@lakshsamal4231 2 жыл бұрын

same

@robtwelve2589 3 жыл бұрын

Derivatives integrals trig identities I remember it still after 32 years of not using it. One thing trig and calculus taught me in engineering was voltage can never change instantaneously across a capacitor nor current thru an inductor or coiled wire cannot change instaneously. This is absolutely confirmed thru trig and calculus. Not to mention many many other concepts also. Trig is the foundation of electronic engineering. Neat.

@nomamesquenickqueda 3 жыл бұрын

I even forgot when I subscribe to this Chanel. Is the first notification that KZfaq send me.

@batteryjuicy4231 3 жыл бұрын

just like your first videos I see you haven't given up on puns. that's some serious dedication! kids, you should take that as an example to never give up!

@SonuSharma-hb1ox 3 жыл бұрын

Hey, I did so many silly mistakes in trignometric physics questions and now after learn your triky cocept or after solving other or your questions now it's eas.......................y 😁😀 easy_peasy thanks Diana 😎💖

@luismijangos7844 3 жыл бұрын

Amazing video. I've been told (and lied) that the "sine" name came from the fact that an archer pulls the arrow and string until his hand touches his pectoral (sinus) and because they use to estimate the horizontal reach of the motion of the arrow in terms of the angle of elevation of the extended arm. (This story of must certainly made up)

@JohnRaschedian 3 жыл бұрын

You are a good math teacher Diana.

@NotNewton23 3 жыл бұрын

😁 I read _Vectors_ three years ago. Knows much about it.

@iabervon 3 жыл бұрын

One tool you didn't bring to the table was a sine bar. It's a flat bar with round parts at each end, like a little car whose wheels don't turn. It's used by putting a stack of blocks under one of the round parts, while leaving the other round part on the table. This makes a triangle of the height of the stack of blocks, the table, and the line between the bottoms of the two circles. Since the length of that line is the same regardless of how the bar is tipped, the angle of the bar to the table is the sine of the size of the stack divided by the fixed length. This lets you get any exact angle if you've got exact blocks and a table of sines, and if you can remember what the tool is called, you'll remember that sine is opposite over hypotenuse.

@suzannestrickland1586 3 жыл бұрын

Good puns. I enjoy these review lessons. Thank you. I know that one of these times you are going to catch that marker first try. Then, the look on your face will be priceless.

@patrickmayer9218 Жыл бұрын

Trig is useful for physics because vectors, represented as arrows, can be broken up into perpendicular components, which is where trig comes into play. Thanks so much for the video!

@papaowl13803 3 жыл бұрын

Teacher Dianna, where were you in the time past when slide rules ruled. Only could manage a basic handle on to use it. Have learned more from you in a few lessons than 4 years of mathematics. Thanks Teacher Dianna.

@tayyabnoor6792 3 жыл бұрын

This is awesome, 👍👍👍👍👍👍

@OneSizetv 3 жыл бұрын

1:41 A line IS a triangle with one angle of pi and zero for the other two

@AhmadHassan-qx8ut 3 жыл бұрын

Dianna is my favorite teacher..

@cool_scatter 3 жыл бұрын

Wish you had drawn a unit circle to explain what sine and cosine really mean, rather than triangle ratios that happen to arise from them. Some people think it needlessly complicates things but I find it's much easier to grasp when you know what's really happening.

@HadarCo 3 жыл бұрын

I know that's a 101 video so you show the whole process to find the components, but I like to think of each component as a fraction of the vector (because sine and cosine are between 0 and 1, and we know that the hypotenuse is the biggest of the three in a right triangle), so each component is the magnitude of the vector times sine/ cosine of the angle, relative to SOHCAHTOA (cosine would be close to the angle = the adjacent, and sine would be close the the opposite angle, aka 90-Theta, or more simply - the non-Theta 😅)