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@evanmai6195

Жыл бұрын

Whoa

why is this in calc 2. this is gonna take me at least 6 hours to master.

@faisalmohamed4595

7 ай бұрын

This is in calculus 1

@randomreplays

5 ай бұрын

@@faisalmohamed4595calc 2

@katkrasher

5 ай бұрын

This is easy

@katkrasher

5 ай бұрын

Alright after working a couple of problems this is not easy i retract my statement

@mrbanana6464

4 ай бұрын

Applied calculus requires a deep understanding of calculus and the problem. If you didn't understand the definition of the integral you will not understand how to do this but will instead be doomed to copy formulas.

Professor Organic Chemistry Tutor, thank you for a solid explanation of Hydrostatic Force problems in Calculus Two. Drawing a picture is a great way to solved Hydrostatic Force Problems in Calculus. There is an error in this video at about the 7:26 minute mark therefore, I will rewatch this video from start to finish.

@nebilnebastro552

6 ай бұрын

yeah his way of finding slope is not right

@mksjnd

Ай бұрын

@@nebilnebastro552 FOR THOSE WHO GOT TRIPPED UP LIKE ME: Actually Organic Chemistry Tutor is completely correct. Keep in mind that we have to find slope in terms of y, not x, since we are integrating by dy. I also got tripped up at the value for b because I originally solved for b by adding 3 to both sides. However, the correct way to find b is how Organic Chemistry Tutor described it. You can test this by inputting y=-3/2x-3, the slope in terms of x in Desmos, Geogebra, or another algebra program. If you also input x=-2/3y+3, the incorrect way to find slope in terms of y, you will see that slope is equivalent, but that the y-intercepts do not match. If you input x=-2/3-2, you will find that the y-intercepts AND slopes between the aforementioned equation and y=-3/2x-3 do indeed match. Hope this helps someone else who became stuck on this concept like me. Add a little mental note that b cannot always be solved for by adding its value to both sides when in terms of y.

For the example with the trapezoid, wouldn't your slope calculation be wrong because you don't actually know the length of the top half on your grid, you only know it's 12 ft + some amount on the x axis?

Thank you so much I understood it Lots of love from Nepal

Thank you so much Sir for this Video it really saves me in understanding the concept, rather than just reading it in the textbook . more power.

Great explanation but for me it would be better to locate the origin at the base of the figure so that the limits will be more easier to calculate (if you don't want to use calcu)

You are amazing!!! Many thanks!!

How about finding hydrostatic pressure, P and then multiply it with the area of the shape, A, we will still obtain the hydrostatic force, F right?

I love you, sir. When I have money one day, I will be sure to support you.

Thank you so much. Always come back to the same place for the help i need

Thank you so much, bringing these videos for my final in a few hours.

@noelforde237

5 жыл бұрын

how'd it go?

@Kyle-pj2vc

5 жыл бұрын

@@noelforde237 Got a perfect score on my Calc 2 final last semester.

@idlehawk9553

Жыл бұрын

@@Kyle-pj2vcWOOOOH!

Thank you so much this video saved me

How would you do this if you do this if you had to calculate for a rectangle would it be the same?

why are you using the -y and negative values for the {c,d} when you can use the positive values for c and d and positive y?

Thank you so much

I finally understand!!!

Why did you not integrate for the trapezoid?

Confused on how you got slope. Looks like this is change in x divided by change in y instead of change in y divided by change in x.

@navaerick86

2 жыл бұрын

I also think I see a mistake here, not sure tho

@Anonymous51701

2 жыл бұрын

Cuz you need to change from y=mx+b to x=my+b. Solve for x and you’ll see its the slope he gets

thanks! For some reason the trapezoid was just giving me trouble lol

Semicircular Dam Force Question: How come the h(y) doesn't have to be a (10-y)? Is it the h(y)=-y solely on axis placement? (0-y) I think I luckily got this right on the exam by just assuming the total distance dy(opposite gravity--parallel to y-axis) had to be multiplied by y because I thought h(y) was just y, just because it seems like y is the height at every point dy.

@JensenPlaysMC

5 жыл бұрын

depends on where you place 0,0 it will change the limits of integration and distances but should be the same result

Can you do a video like a qna for us to get to know you better I like attachments to people that teach me????!!!

@yungzed

Жыл бұрын

lol

Thanks!

Thank you thank you thank you this made no sense until I watched this vid

Shouldn't the slope be -3/2 at 7:26? 6 and 0 are x-values and should be in the denominator since the slope formula is (y2-y1)/(x2-x1)

@riley.the.engineer

5 жыл бұрын

That is what I calculated as well. I do not understand.

@edisunyoto6256

5 жыл бұрын

the slope are -2/3 because it's the function of y

@comic4relief

5 жыл бұрын

Yes, i thought so also. -9/6 is the slope. What's up?

@hberry69

5 жыл бұрын

@@edisunyoto6256 no it should still be -3/2 slope is rise over run, y/x, no matter what.

@milesmathews7579

5 жыл бұрын

Not exactly, I believe he calculated the change between the length of the triangle and y. Slope calculates the average change in a function, and our function is L(y).@@hberry69

I don't understand the second example. As far as I rememberit's rise over run so isn't it supposed to be -3/2?

@avalon_I

Жыл бұрын

I think because we're finding l(y), you have to find it in terms of y. Just as when you find f(x), you find it in terms of x.

@TchallaKilmonger

11 ай бұрын

​@@avalon_Iyep, I had that issue

Why other h(y) is not just "-y". Others have "number -y". Example is "10-y", "6-y" etc. why?

i love you!!!!!!!!!!!!!!!

Hey, so how come when y = 0, L = 12, 11:30 ? If the top is 12 ft long and the bottom is 20 ft long, wouldn't you need to account for 4 extra ft at the top (to the right and the left of the top space) in addition to the 12 ft if you are counting from the origin? so at y = 0, L would be 16 ? Anyway not sure, could be wrong, only noticed it because I tried working out the problem before watching you do it. Thanks btw, awsome vid!

@yungzed

Жыл бұрын

idk

@hyperstorm8662

7 ай бұрын

I think you have to think about it as just the length not as a coordinate

I read these comments and I thought I was going insane when I was working it out, it barely came out correctly on some of them and the others he flips things over. Just center the at 0,0 from the middle at the bottom and integrate.

@16:53 wouldn’t the X be equal to -square root 100-y^2 because it is below the x axis

Sir , why force on vertical plate (question 1 ) is not uniformly distributing ?

@hunterpresby1090

2 жыл бұрын

Different levels of depth produce different hydrostatic force bc of gravity, i.e. hydrostatic force at the top will probably be less than on the bottom...i think.

Great and all, but how to you find the sides of a triangle when you only have 1 leg and 1 angle?

@meji4966

3 жыл бұрын

inverse trig

best of the best

Why don’t you have to multiply the 62.4lb/ft by gravity?

@CauseAndEfex

4 жыл бұрын

Pounds is already a weight, it has the F(g) built in.

Isn't the slope at 7:40 -3/2? since it's y2-y1 / x2 - x1 ?

@jhononillgalvez950

2 жыл бұрын

I also got -3/2

@christiancarter255

Жыл бұрын

@@jhononillgalvez950 same

@sleepsy1522

6 ай бұрын

The thing is we are replacing X with y and L with Y so instead of y=mx+b and y2-y1/x2-x1 it is L=my+b because we substituted this values we must substitute them into the slop formula as well so it would be L2-L1/y2-y1

why are you unnecessarily using negative values, the height could simply be y and you can integrate from 2-4 not -2 to -4. Also you could set the height to (2-y) and integrate from 0 to 2.

Isn't the hydrostatic force on the other side of the plate equal (ie the same), thus net zero? It's not like a dam where there is water on one side.

thaaankkkk yoouuuuuuu

I dont understand why it's okay to use L(y) =my + b if it's a trapezoid and not a straight line.

@kennycao9334

4 жыл бұрын

Erin West because the width is going to be whatever the x value of the equation is based on the slope that you found from the triangle given

Can you solve for a parabola?

Where did he get the -2 and -4 on the first problem?

@wilfredoperez9260

4 жыл бұрын

He made them up, just to give it a value (Range).

isn't slope equals to change of y/change of x?

sorry why is h(y) negative y?

@user-vv1do1wg1j

2 ай бұрын

because it is in the negative axis below the axis line, positive X (to the right) and negative Y (below)

Why h = - y? Doesn't pressure depend on the height?

@sepehrramshini6411

5 жыл бұрын

@Ye Htet Aung but that's wrong... Doesn't work for all questions

@Kyle-pj2vc

5 жыл бұрын

@@sepehrramshini6411 I think it's h = (height-y)

@NightcoreXenovia

5 жыл бұрын

Because the origin is above the object or in -y axis

@edwardzheng5050

5 жыл бұрын

Height changes as you integrate from -12 to -3

@sleepsy1522

6 ай бұрын

You are thinking of hydrostatic pressure this is hydrostatic force though they are similar they are not the same

Thanks for the video but shouldn’t c and d be positive?

@JamesBond-nk1zj

3 жыл бұрын

You put the coordinate system at the center of a circle or semi circle

youtube > Univercity bro you saved me so many times

17:37 I think you should multiply by pi cos the area of the cross section is pi times r squared and isn’t that why you’re using L(y) times d(y) (A=Lw)

2,381,400 ??

Why h(y) equal to -y? Why not 3m or something?

@saberspeed77

Жыл бұрын

Because the pressure increases the further you go down in depth and isn't a constant 3m.

its -3 not -2

10:04 I don't understand how it got 2,381,400N .

I love you

why arent we doing this in calc 2? is this honors?

@usctrojanfreak

3 жыл бұрын

depends on the professor I guess. Currently doing it right now lol :(

hey buddy, not sure what im doing wrong, but i keep getting 9096.5 lbs.

@fritzschwartz3295

4 жыл бұрын

On 14:12

@fritzschwartz3295

4 жыл бұрын

So sorry! For W. I kept putting 16.4, instead of 64.4. My bad! U da MAn

@fritzschwartz3295

4 жыл бұрын

*62.4

I love your accent lol

ily

h should not be -y here it's y

@jonathanjeffrymulyana4390

3 жыл бұрын

Same thing

Anyone else getting 28,454 for the third one?

Side lemf

Shouldn't the slope be RISE over RUN, you flipped it by finding -2/3 when it should be -3/2. Kinda confused, beside that great video, much thanks!

@haruharudude

3 жыл бұрын

It's flipped because it's in terms of y

@vinceojeda9120

2 жыл бұрын

@@haruharudude is it getting the x value in the slope intercept formula because if that's the case it has to be minus B,just asking.

this is confusing

At 1418 mins I did the problem copied it and did not get your answer

@marvalousmarvette

5 жыл бұрын

Oh wait I think i forgot -(-8)^3 and that messed me up

I want to hug you my lovely sir

brother with all respect you should have represented function in terms of x and y rather than L(y) and H(y)

cracked

#HYDROSTATICPRESSURE