Physics

Assume you construct a new water tower for a town water supply. Assume the tank is in the shape of a sphere with a diameter of 21ft. Assume the tank is made of formes and welded .5 in steel plate that weighs 150 lb per ft3. What is the weight on each of the four support legs when the tank is 85% full of water? Neglect the wieght of the support legs and water piping.

Not sure how to get volume of the .5 in thick steel tank (Just the steel material). I can calculate the water volume of the tank.

Im assuming the volume of the water is determined from diamter of 21 ft of the sphere.

  1. 👍 0
  2. 👎 0
  3. 👁 220
asked by Lindsey
  1. You can consider the surface area of the sphere (4*pi*r^2) as the surface area of the steel plate. Multiply it with the thickness i.e. 0.5in to get volume of the steel material.

    1. 👍 0
    2. 👎 0
    posted by ajayb
  2. I’ve calculated in SI units:
    D=21 ft =6.4 m => R= 3.2 m (outer radius of the tank)
    h= 0.5 in= 0.0127 m,
    ρ1 =150 lb/ft³=2403 kg/m³ (this is not steel. It may be duralumin)
    ρ2 =1000 kg/m³ (water)
    V=0.85V2

    V1=4πR³/3=4π•3.2³/3=137.26 m³
    V2=4π(R-h)³/3=4π•(3.2-0.0127)³/3=135.63 m³
    ΔV=V1-V2=137.26-135.63=1.63 m³,
    Mass of the tank is
    m1= ρ1• ΔV=2403•1.63=3916.9 kg.
    Mass of the water is
    m2= ρ2•0.85•V2=1000•0.85•135.63= =115285.5 kg.
    The weight of the tank with the water is
    (m1+m2) •g.
    The weight on each of the four support legs is
    (m1+m2) •g/4 =119202.4• 9.8/4=
    =292045.9 N.

    1. 👍 0
    2. 👎 0
    posted by Elena

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus2

    A tank is full of water. Find the work required to pump the water out of the spout. (Use 9.8 m/s^2 for g. Use 1000 kg/m^3 as the density of water. Assume r = 9 m and h = 3 m.) The tank is a spherical shape with r as the

    asked by A on June 28, 2018
  2. College Math

    a conical tank is 15 feet deep and has an open top whose radius is 15 feet. Assume that starting at t = 0 water is added to the tank at a rate of pi ft^3/hr, and water evaporates from the tank at a rate proportional to the suface

    asked by Anonymous on August 4, 2011
  3. Physics

    A tank of water sits at the edge of a table of height 1.4 m. The tank springs a very small leak at its base, and water sprays out a distance of 1.2 m from the edge of the table. What is the water level h in the tank? (Assume the

    asked by Sierra on July 25, 2012
  4. mat 116

    two large storage tanks, T and W contain water. T starts losing at the same time additional water starts flowing into W. The graph below shows the amount of water in each tank over a period of hours. Assume the rates of water loss

    asked by csrla on March 2, 2014
  5. calculus

    Calculate the work (in joules) required to pump all of the water out of the tank. Assume that the tank is full, distances are measured in meters, and the density of water is 1,000 kg/m^3. Water exits from a small hole at the top

    asked by Jake on January 31, 2010
  6. Physics

    Suppose you have a perfectly spherical water tank with an inside diameter of 8.6 metres. If the drain at the bottom of the tank can't handle a hydrostatic pressure of more than 50 kilopascals, what is the maximum volume of water,

    asked by Anna on April 16, 2008
  7. Physics

    Suppose you have a perfectly spherical water tank with an inside diameter of 8.6 metres. If the drain at the bottom of the tank can't handle a hydrostatic pressure of more than 50 kilopascals, what is the maximum volume of water,

    asked by zahra on April 16, 2008
  8. Environmental science

    Estimate the chronic daily intake of 1,1,1-trichloroethane from exposure to city water supply that contains a 1,1,1-trichloroethane concentration equal to the drinking water standard of 0.2 mg/L. Assume the exposed individual is a

    asked by Jazmin on February 16, 2011
  9. physics

    A jet of water squirts out horizontally from a hole near the bottom of the tank, as seen in the figure below. Assume that y = 1.19 m and x = 0.544 m. What is the speed of the water coming out of the hole? The hole has a diameter

    asked by Jackie on March 5, 2012
  10. physics

    A large water tank is 18m above the ground. Suppose a pipe with a diameter of 8cm is connected to the tank and leads down to the ground. How fast does the water rush of the piper at ground level? Assume that the tank is open to

    asked by zoe on December 11, 2012

More Similar Questions