Answer:
102000N/m2
This is the same as 102KN/m2 (where K = 10^3):
Explanation:
The expression 750 mmHg means 750 height the atmospheric pressure will cause mercury to be suspended due to gravity.
If we brought another fluid under investigation under the influence of the atmospheric pressure the height would be different)
Note that 750 mmHg would be the same as 750/1000 m Hg ( when we convert the mm to m)
0.75mHg
Now to get the pressure in N/m2.
We multiply the height of mercury by the density by the acceleration due to gravity.
This is expressed mathematically thus;
H×d × g ; let d- denote density
Hence we have;
H×d × g = 0.75 × 13600 × 10= 102000N/m2;
Now let's look at the flip.side assuming you don't know the formula for what you require you could use the idea of Unit derivation ;
The unit of interest is N/m2
The unit of height is m
The unit of density is kg/m3
The unit of g is Nkg-1
We would observe if we multiply
m × N/Kg × Kg/m3
We would have (m× N × Kg)/(kg×m3)
Kg cancels out, m cancels out one m from me remaining m2.
Hence our unit becomes N/m2
Note : the unit for density is wrongly expressed remember density is Mass/ volume and their units are respectively kg/m3
The atmospheric pressure on a particular day was measured as 750 mm of Hg. this would be in 102000 N/m² ( By Assuming the density of
mercury is 13600 kg/m3 and g =10Nkg-1
The total applied force per unit of area is known as the pressure.
The pressure depends both on externally applied force as well the area on which it is applied.
The mathematical expression for the pressure
Pressure = Force /Area
the pressure is expressed by the unit pascal or N /m²
As given in the problem The atmospheric pressure on a particular day was measured as 750 mm of Hg.
Atmospheric pressure is measured by the formula
P = ρgh
where ρ is the density of the mercury
g is the acceleration due to gravity
h is the height of the liquid
By substituting the respective values
P = 13600*10*(750/1000)
P = 102000 N/m²
Thus, the atmospheric pressure would be 102000 in N/m².
Learn more about pressure here
brainly.com/question/28012687
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