What pressure does the tank exert on the soil if the mass of the tank is 10 tons, and the area of one track is 1 m2?
August 18, 2021 | education
| Given:
m = 10 tons is the mass of the tank;
s = 1 square meter – the area of one tank track;
n = 2 – the total number of tracks in the tank.
It is required to determine P (Pascal) – how much pressure the tank exerts on the soil.
Let’s convert the units of measurement of mass to the SI system:
m = 10 tons = 10 * 10 ^ 3 = 10 * 1000 = 10000 kilograms.
Then the force of gravity will be equal to:
F = m * g (where g = 10 N / kg is an approximate value);
F = 10000 * 10 = 100000 Newton.
The total area of the tank track support will be equal to:
S = s * n = 1 * 2 = 2 m2.
Then the pressure will be equal to:
P = F / S = 100,000 / 2 = 50,000 Pascal (50 kPa).
Answer: the tank exerts a pressure of 50 kPa on the soil.
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