Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
A tank is 8 m long, 4 m wide, 2 m high, and contains kerosene with density $ 820 kg/m^3 $ to a depth of 1.5 m. Find (a) the hydrostatic pressure on the bottom of the tank, (b) the hydrostatic force on the bottom, and (c) the hydrostatic force on one end of the tank.
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Doruk Isik
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
Calculus 2 / BC
Chapter 8
Further Applications of Integration
Section 3
Applications to Physics and Engineering
Applications of Integration
Baylor University
Idaho State University
Boston College
Lectures
01:08
A tank is $8 \mathrm{m}$ l…
06:53
A tank is 8 $\mathrm{m}$ l…
04:08
A tank is 6 m long, 4 m wi…
01:07
A large tank is designed w…
03:18
An aquarium 5 ft long, 2 f…
02:32
05:39
The tank is filled with wa…
03:56
A narrow tube is sealed on…
in this problem, we're given that there is a thing which is eight meters long, four meters wide and two meters deep and that has failed. What in fluid with 820 clever kilograms per meter, you density and it is filled with that flute tow. It leapt off 1.5 meters. In part, they were us to find the pressure at the bottom off the stank. We know that pressure is density times G times. That sedan city for this fluid is 820 g is 9.8, and that is given that is 1.5 a few months old. We see that then the pressure is 12 1000 future for Paschal's, and we can write this one us about 12. Kill Paschal's in part B. Where has to find a force acting at the bottom of the cylinder. It means that we would need to talk plate the area that this pressure's acting on, and that would be this shaded area. Force will be pressure times area where area in this case as eight times for that is 32 meter skirt, so force would then be 12 1054 times 32. That would be three times 86 10 to the fifth in evidence and in party where has to find the force acting on Ah, one end off this tank's. Imagine that we're looking at this time from this side and this is the side of this Think so He had this one. And, um, certain this is four meters, since that is for me, it is white and the oil that is two meters of everyday this field. What if would up to 1.5 meters? So we're interested in this tin strip right now. Let's assume that we have this sense stripped and the thickness as D X sort of totaling as four area off. This would be four times DX. All right, now, let's assume not be having origin located here. And the positive why is in the downwards directions as we go down? What is positive? You know, that pressure is ro times G times, uh, that hear that is the distance measure for Miss Surface. Unless said, I bet his ex Sadat would be X and pressure then would be, um a 20 times 9.8 times. Thanks force would then be pressured times area forever. This is a 10 strip and if he some all those 10 strips up, we would find the total force acting on one answer I need It means that mean it Intergrated starting from zero to a 1.5. Since it is filled with water up to 1.5 meters, you would have a 20 times 9.8 times sex. That is pressure multiplied by area. And we found area to be four times the X from the species that we have a 20 times 9.8 times. For this is a constant and form this integral be would got excrete over to Now we need to let this between zero and 1.5. If you do so, we find a force to be 36,000 and 162 engines.
View More Answers From This Book
Find Another Textbook
00:51
A rectangle is drawn on a coordinate grid. The equation for 1 side of the re…
01:16
A right cylinder has a height of 12 inches and a diameter of 10 inches. What…
01:58
A bus leaves a station and travels 50 kph.An hour later,a van leaves the sam…
01:11
a woman owns 21 pets. each of her pets is either a cat or bird. if the pets …
A bag of jelly beans contains 10 re, 6 green, 7 yellow, and 5 orange jelly b…
04:10
a curtain on the window was tied at the bottom part forming an inverted isos…
03:04
A bureau director has an appointment at 9 A.M. in a nearby province. If he t…
01:09
a globe 1 ft. in diameter is how many times as large as a marble 1 in. in di…
a teacher announces that out of 35 students in class 25 passed both the math…
01:51
A theater has 35 rows of chairs. The first row has 20 chairs, the second has…