# Physics: Calculate gauge pressure; tension in the cable

A storage tank of negligable mass and 30 m high is filled with gasoline.

a. calculate 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 0.5 x 0.5 m. c. given that the tank is shaped like a right circular cylinder with height of 30 m and base radius of 10 m. the tank is attached to a steel cable of negligable mass and immersed in water. calculate the tension (force) in the cable before and after it is immersed in water.

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#### Solution Preview

a. Guage pressue p= d*g*h

d = density of gasoline = 720 kg/m^3

g = gravitational acceleration = 9.8 m/s^2

h = 30 m

Therefore,

p = 30*720*9.8 = 211680.0 Pa == 2.117*10^5 Pa --Answer

Absolute pressure,

P = Atmospheric pressure (Po) + Gauge pressure (p)

Po = 1.013*10^5 ...

#### Solution Summary

The expert calculates the gauge pressure, tension in the cable.