1. A storage tank of negligible mass and 30m high is filled with gasoline. Pleas
ID: 1273164 • Letter: 1
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.
(b) The force that acts on a square access hatch at the bottom of the tank that measures 0.5m x 0.5m.
(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.
Explanation / Answer
(a)the absolute pressure at the bottom of the tank is
P = pgh
where p is density of gasoline,g = 9.8 m/s^2 and h = 30 m
the force is
P = F/A
or F = P * A
where A = 0.5 * 0.5 m^2
(b)
The force at the bottom of the tan will be 30 * 680 = 20400 kg/m2
The force at the top of the access opening will be 29.95 * 680 = 20366 kg/m2
The average pressure on the access opening will be (20400 + 20366) / 2 = 20383 kg/m2
The area of the access door is .05^2 or 0.0025 m2
The force on the access door is 0.0025 * 20383 = 50.9575 kg
(c) Tension before immersing in water, T1 = 20383 N
after immersing in water T= T1 - buoyancy force(density*volume of water displaced*g)
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