MHB Calculating Total Area Under a Trapezoidal Curve for Water Tank Fill Time

sophbell
Messages
2
Reaction score
0
image.jpg
 
Mathematics news on Phys.org
sophbell said:
View attachment 11490
The area represented under the curve is a triangle (up to t = 2 hours) plus a rectangle. How do you find the sum of that area?

-Dan
 
Draw a horizontal line at "100" all the way across. Draw a vertical line at "2" all the way up and down. That divides the area into a right triangle with one leg of length 2 and the other of length 200, a rectangle with width 2 and height 100, and another rectangle with height 300 and unknown width. What is the area of the triangle and the first rectangle?

If that is less than 1000, subtract if from 1000. How wide must the second rectangle be so that its area is that difference?
 
topsquark said:
The area represented under the curve is a triangle (up to t = 2 hours) plus a rectangle. How do you find the sum of that area?

-Dan

Surely it's a trapezium and a rectangle...
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

B Pumping water upwards into a large water tank
Replies
3
Views
2K
MHB If both pipes are used together, how long will it take to fill 2/3 of the tank?
Replies
9
Views
2K
Measuring the water volume in a small tank with a manometer
Replies
26
Views
2K
Improving heat transfer in domestic hot water tank?
Replies
15
Views
4K
Time to Empty a Tank with Water Flowing at 2h kg/s
Replies
1
Views
1K
Fluid dynamics problem: Equalize the volume of water in tanks at differing heights
2
Replies
50
Views
7K
How Much Work to Fill a Cylindrical Tank with Water?
Replies
22
Views
3K
I Water Tank Overflow Air Piston concept/question
Replies
31
Views
2K
MHB Emptying and filling a tank word problem.
Replies
2
Views
6K
MHB Find Rate Water is Pumped into Tank | NatyBaby's Question at Yahoo Answers
Replies
1
Views
6K

Hot Threads

Recent Insights

Back
Top