Solve the following problem and draw diagrams as needed: Assume that your hometo
ID: 1953531 • Letter: S
Question
Solve the following problem and draw diagrams as needed:Assume that your hometown is growing so rapidly that an additional water tower will be necessary to meet the needs of the community. Engineers predict that the water tower will need to hold 1.25 * 10^6 kg of water, with a density of 999 kg/m^3
A) what will the volume of the tower have to be?
B) Determine the vertical force, in kN, acting on earth of the four evenly spaced legs from the weight of the water alone.
C) If the tower is spherical, what would be the diameter of the tower?
Explanation / Answer
Given that Mass of the water is m =1.25*10^6 kg density of the water is =999 kg/m^3 ________________________________________________________________________________ A) We know formula for dennsity =mass /volume from this equation we can be write expression for volume V = mass/density =1.25*10^6 kg /999 kg/m^3 =1.25125*10^3 m^3 ________________________________________________________________________________ B) vertical force acting on earth of the four evenly spaced legs from the weight of the water alone is F =weight of the water =mass * acceleration due to gravity =1.25*10^6*9.8 =12.25*10^6 N =12250 kN ______________________________________________________________________________ C) if tower is sherical in shape the volume of sphere V =4/3r^3 here 'r' is radius of the tower we get the value for volume of the tower is V =1.25125*10^3 m^3 therefore 4/3r^3 =1.25125*10^3 r^3 =1.25125*10^3*3 /4*3.14 since =3.14 = 298.86 radius of the tank is r=6.685 m diameter of the tank is d =2r =2*6.685 m =13.37 mRelated Questions
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