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Calculate the volume, capacity, mass of fuel, and total weight for a rectangular tank with given dimensions and fuel density.
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5 partsStep-by-step solution
12 stepsHere are the calculations for the tank and its supports:
Part a· 2 steps
The volume of the tank.
Identify the dimensions of the tank.
Length () =
Width () =
Height () =Calculate the volume using the formula for a rectangular prism.
The volume of the tank is .
Part b
The capacity of the tank.
Convert the volume from cubic meters to liters.
The capacity of the tank is .
Part c
Mass of the fuel in the tank when full.
Identify the density of petrol and the volume of the tank.
Density of petrol () =
Volume of tank () = (from part a)Calculate the mass of the fuel using the density formula.
The mass of the fuel in the tank when full is .
Part d
The total weight needed to be supported by a constructed steel support.
Identify the weight of the tank and the mass of the fuel.
Weight of the tank () =
Mass of fuel () = (from part c)
Assume acceleration due to gravity () = .Calculate the weight of the fuel.
Calculate the total weight to be supported.
The total weight needed to be supported is .
Part e
The tensile stress of the steel support when carrying the tank full of fuel.
Identify the total weight, number of supports, and dimensions of each support.
Total weight () = (from part d)
Number of supports = 4
Diameter of each support () =Calculate the force on each support.
Calculate the cross-sectional area of one support.
Radius () =
Calculate the tensile stress on each support.
The tensile stress of the steel support is approximately .
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