Answer:
Explanation:
In mathematics, Euler's formula is an equation in complex analysis, that gives a relationship between an exponential factor and the trigonometric functions.
The Euler equation is:
Here,
e - base of the natural logarithm
i - imaginary unit
x - argument given in radians
sin , cos - trigonometric functions sine and cosine respectively.
Based on the calculations, the absolute pressure in the pipe is equal to 90,670.4 N/m².
<h3>How to calculate the absolute pressure?</h3>Mathematically, absolute pressure can be calculated by using this formula:
<u>Scientific data:</u>
Atmospheric pressure (Patm) = 1 bar = 1 × 10⁵ N/m²
Head (h) = -70mmhg = -0.07 m hg
Acceleration due to gravity = 9.8 m/s²
Density of mercury = 13,600 kg/m³.
Next, we would determine the gauge pressure:
Now, we can calculate the absolute pressure:
Absolute pressure = 90,670.4 N/m².
Read more on absolute pressure here: brainly.com/question/10013312
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Answer:
a) The mass flow rate of water is 14.683 kilograms per second.
b) The pressure difference across the pump is 245.175 kilopascals.
Explanation:
a) Let suppose that pump works at steady state. The mass flow rate of the water (), in kilograms per second, is determined by following formula:
(1)
Where:
- Pump power, in watts.
- Efficiency, no unit.
- Gravitational acceleration, in meters per square second.
- Hydrostatic column, in meters.
If we know that ,
,
and
, then the mass flow rate of water is:
The mass flow rate of water is 14.683 kilograms per second.
b) The pressure difference across the pump (), in pascals, is determined by this equation:
(2)
Where is the density of water, in kilograms per cubic meter.
If we know that ,
and
, then the pressure difference is:
The pressure difference across the pump is 245.175 kilopascals.