The machine weighing 14000 N creates a pressure of 7 kPa. Calculate the footprint of the machine.
May 24, 2021 | education
| Given:
F = 14000 Newton – the weight of a certain machine;
P = 7 kPa – the pressure that the machine exerts on the foundation
It is required to determine s (m2) – the area of the machine foundation.
Let’s convert the units of measurement of pressure to the SI system:
P = 7 kPa = 7 * 10 ^ 3 = 7 * 1000 = 7000 Pascal.
Then, to determine the area, you must use the following formula:
P = F / s, from here we find that:
s = F / P = 14000/7000 = 14/7 = 2 m2 (square meters).
Answer: The area of the machine foundation is 2 m2.
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