Explore BrainMass

Explore BrainMass

    Working with flow rate

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    A rectangular open tank is 4.5' wide, 3' deep and 6' long. We wish to fill the tank using a 1" diameter hose that delivers water at a speed of 100 inch/s. a) Determine the volume of the tank in gallons and liters. b) Compute the volume of water delivered by the hose in bothe quarts and liters per second. c) How long will it take to fill up the tank?

    © BrainMass Inc. brainmass.com December 24, 2021, 5:11 pm ad1c9bdddf
    https://brainmass.com/physics/mathematical-physics/working-flow-rate-33753

    SOLUTION This solution is FREE courtesy of BrainMass!

    Volume = length * height * breadth

    But here the units are in inches so we have to convert them to a standard unit first.

    we know that 1 inch = 0.0254 meters

    So the dimensions of the tank are,

    4.5*0.0254 = 0.1143 m wide
    3 * 0.0254 = 0.0762 m deep
    6 * 0.0254 = 0.1524 m long

    ===> the volume = 0.1143 * 0.0762 * 0.1524 = 0.001327352184 m^3

    Also 1 liter = 10^-3 meters^3

    == > 0.001327352184 m^3 = 0.001327352184 m^3 *10^3 = 1.327352184 liters ---Answer

    Again 1 liter = 0.264172051 US gallon

    ==> 1.327352184 liters = 1.327352184 * 0.264172051 = 0.350 Gallon --- Answer

    Crosssectional area of the pipe

    = pi*R^2 = 3.14 * 0.5" = 3.14 * (0.0127)^2 = 0.0005064506 meter^2

    Rate of pumping = 100inch/sec = 2.54meter/sec

    Volume pumped in per second

    = 0.0005064506 meter^2 * 2.54meter/sec

    = 0.001286384524 meter^3 / second

    = 1.29 liters/second --Answer

    1 quarts = 0.9463 liters ==> 1liter = 1.0566882 US quarts

    Now, the pumping rate = 1.29*1.0566882 US quarts/sec = 1.36 quarts/sec --Answer

    Volume = 0.001327352184 m^3
    Pumping rate = 0.001286384524 meter^3 / second

    thus the time required to fill the tank = 0.001327352184 m^3/0.001286384524 meter^3 / second

    = 1.03 Second --Answer

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 5:11 pm ad1c9bdddf>
    https://brainmass.com/physics/mathematical-physics/working-flow-rate-33753

    ADVERTISEMENT