measuring fluid pressure. sample data: alcohol height (m)pressure (pa) 0.131000 0.262000 0.393000...
TRANSCRIPT
Measuring Fluid Pressure
Sample data: Alcohol
Height (m) Pressure (Pa)
0.13 1000
0.26 2000
0.39 3000
0.52 4000
0.65 5000
0.78 6000
Slope of Pressure vs height
Slope = rise/run = Pressure/height
Pa = N = kg m = kg m
m m2m m3 sec2 m3 sec2
kg/m3 = density = ρ
m/sec2 = acceleration
Best fit equation = slope
Alcohol = 7692.3 x
Y= mx + b
Pressure = 7692.3 h + b
( b can be disregarded.
When pressure = 0 then height would = 0)
Pressure vs heightPre
ssu
re (
Pa)
Height (m)
Glycerin
Salt water
Fresh water
Alcohol
Pressure vs density using the best fit lines
Liquid Density (ρ)Kg/m3
Best fit equation
Equation at 0.4 m
Alcohol 785.4 7705 h 2830
Freshwater 1000 9810 h 3924
Saltwater 1027 10075 h 4033
Glycerin 1261 13538 h 5415
Pressure is proportional to height
P α h
and
P α ρ
So therefore:
P α ρ h × some constant C
P = C ρ h
P = C ρ h
C = P = Pa = N/m2 * m3
ρ h kg/m3 * m kg * m
= kg * m * m3
m2 * kg * m * sec2
C = m/ sec2
Finding C (using data for seawater)
P = C ρ h
C = P = 1 P
ρ h ρ h
C = 1 * 10 075
1027
C = 9.81 m/sec2
Slope
Trend line formula