1. A storage tank of negligible mass and 30m high is filled with gasoline. Pleas

Question

1. A storage tank of negligible mass and 30m high is filled with gasoline. Please calculate the following:

(a) The gauge pressure and absolute pressure at the bottom of the tank. 4 pts
(b) The force that acts on a square access hatch at the bottom of the tank that measures 0.5m x 0.5m. 2 pts
(c) Given that the tank is shaped like a right circular cylinder with a height of 30 m and with a base radius of 10m. The tank is attached to a steel cable of negligible mass and immersed in water. Calculate the tension (force) in the cable before and after it is immersed in water. 4 pts





2. A blimp used for aerial camera views of sporting events holds 200,000 ft3 of helium.

a) How much does the helium weigh? 3 pts

b) What is the buoyant force on the blimp at sea level? 3 pts

c) How much can the blimp lift in addition to the helium? 4 pts

Explanation / Answer

Let gasoline density be

a) Absolute pressure = Pa + *9.8*30 {where Pa = 1.01*10^5 N/m^2}

Gauge Pressure = *9.8*30

b)Force = (Pa+*9.8*30)*.25

c)Mass of the tank = **100*30 = M (let)

so tension when not immersed in water = M*9.8

when immersed in water Tension = M*9.8 - (**100*30*9.8) where is density of water

2) 200000 ft^3

Let density of helium be x in kg/ft^3

so

a) Weight = x*200000 kg = K1

b) Buoyant Force = (Density of water in kg/ft^3)*200000*32 = K2{32 is g in ft/s^2 }

c) it can lift more by (K1g - K2) where g = 32 ft/s^2

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