MathProdigy From: US Posts: 11 Votes: 33 |
A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other words, the tank is not standing vertically on one of its flat ends.) If the radius of the cylinder is 1 meters, its length is 3 meters, and its top is 4 meters under the ground, find the total amount of work needed to pump the gasoline out of the tank. (The density of gasoline is 673 kilograms per cubic meter; use g= 9.8m/s2 work = (include units) |

Anonymous From: - Posts: - Votes: - |
The volume of the tank is: V = pi * r^2 * h V = pi * 1.5^2 * 2 V = 4.5*pi m^3 If the tank is full, the mass of the gasoline is: 673 * 4.5*pi = 3028.5*pi kg The weight of the gasoline is: 3028.5*pi * 9.8 = 29679.3*pi Newtons The average (underground) depth of the gasoline is 5 + 1.5 = 6.5 Work = Force * Displacement W = 29679.3 * 6.5 W = 192,915.45 Joules |

MythBrainy From: US Posts: 23 Votes: 92 |
Radius of the cylinder is 1.5 meters, its length is 2 meters, and its top is 5 meters under the ground I assume the tank is initially full and you need the work to empty it and get the fuel toground level. The centre of gravity (useful concept that!) of the fuel in the full tank is the tank centre line. Its distance below ground is 5 + 1.5 = 6.5m Mass of fuel = π x (1.5)² x 2 x 673 = 9514 kg Work required = weight x height = mass x g x height = 9514 x 9.81 x 6.5 = 600.3 k.Joules |

- Find F '(x) For Each Of Thefollowing... ,
- X = E2t , Y = T +1a) Eliminate The Parameter To... ,
- ACCELERATION amp; NEWTON'S LAW A BODY MASS 2... ,
- If A Snowball Melts So That Its Surface Area... ,
- In Order Sketch The Graph We Need To Find The... ,
- When Taking The Particular Solution Of 2y" + 3y'... ,
- Find Two Numbers Whose Difference Is 100 And... ,
- I'm Given The Equation F(x,y) = -4x3 + 4xy - 2y2... ,
- Determine Whether The Given Sequence Is... ,
- Determine Whether The Given Sequence Is... ,
- I Would Just Like To Have The Problemed Solved To... ,
- R = F(#952;)= 1+2Cos3#952;r = F(#952;)= 2+Cos... ,
- T(dy/dt)+2y=sint ,
- For R(u,v)=2cos U I + v J+ 2sin U K, Find The... ,
- Find A Vector Valued Function Whose Graph Is The... ,
- I NEED HELP WITH THIS GEOMETRY QUESTION!!!!!? ,
- Do you memorize formulas for math? ,
- How to find constant k for a continuous function? ,
- How to find constant k for a continuous function? ,
- How to find constant k for continuous function? ,
- Find approximations to two decimal places for the coordinates of the point (x,y)? ,
- How to make the TI-83 "Solver" faster? ,
- What kind of math class does a high school student usually take every year? ,
- Math question help please!! please help!!? ,
- Integral question! Sqrt(6x - x^2)? ,

Copyright © 2018 YouGotMath.com | All Rights Reserved | Terms of Service