I want to know the pressure of a water column (I'm french, not too sure if thats the correct term in english). I was told to use this formula : P = dgh BUT my prof wants units in Pa.
It seems impossible to me to convert my answer in Pa as it has nothing to do with the units I currently have!
Here are the values :
water density : 999.62 kg/m^3
Acceleration due to gravity : 9.80665 m/s^2
Height of the water column : 29.7 cm
So..
P = (999.62 kg/m3) (9.80665 m/s2) (29.7 cm)
= 291 146.82 kg · cm/m2 · s2
Is this right? I must have made a mistake somewhere. How do i convert this to the unit Pa?
Please answer if capable, and thank you so much !
Also, I'd also like to know if it's okay to have gotten water density (accordingly to the temperture of the water) off a website or if i had to calculate it?
THANKS SO MUCH !
It seems impossible to me to convert my answer in Pa as it has nothing to do with the units I currently have!
Here are the values :
water density : 999.62 kg/m^3
Acceleration due to gravity : 9.80665 m/s^2
Height of the water column : 29.7 cm
So..
P = (999.62 kg/m3) (9.80665 m/s2) (29.7 cm)
= 291 146.82 kg · cm/m2 · s2
Is this right? I must have made a mistake somewhere. How do i convert this to the unit Pa?
Please answer if capable, and thank you so much !
Also, I'd also like to know if it's okay to have gotten water density (accordingly to the temperture of the water) off a website or if i had to calculate it?
THANKS SO MUCH !
-
Déjà, il faut que tu mette ta hauteur d'eau en mètres (donc tu as h=29,7*10^-3m).
Ensuite, le Newton et le Pascal ne sont pas des unités de base du système international et on peut les convertir en unités de base pour vérifier l'homogénéité
1Pa = 1N.m^-2 (newton par mètre carré) et
1N = 1Kg.m.s^-2.
Donc 1Pa = 1Kg.m.s^-2.m^-2 = 1Kg.m^-1.s^-2.m.
Dans ta formule tu as des Kg.m^-3.m.s^-2.m
Une fois réduit tu obtiens des Kg.m^-1.s^-2 = Pa.
Ton équation est homogène.
Ensuite, le Newton et le Pascal ne sont pas des unités de base du système international et on peut les convertir en unités de base pour vérifier l'homogénéité
1Pa = 1N.m^-2 (newton par mètre carré) et
1N = 1Kg.m.s^-2.
Donc 1Pa = 1Kg.m.s^-2.m^-2 = 1Kg.m^-1.s^-2.m.
Dans ta formule tu as des Kg.m^-3.m.s^-2.m
Une fois réduit tu obtiens des Kg.m^-1.s^-2 = Pa.
Ton équation est homogène.