Model:

A vertical thin Tube_a of water (or any fluid) linked (at the bottom only) to a larger vertical Tube_b of water

One equation for hydraulic fluids for the above model is:

(For visual of 1st model below see "Fluid Pressure Calculations" at : http://hyperphysics.phy-astr.gsu.edu/hbase/pman.html#meac )

P_a = density

(Where P_a & P_b are the pressures applied downward at the surface of thin Tube_a & wider Tube_b)

Let say A_a (Area of Tube_a) = 1 and A_b = 3 and F_a = 2 and F_b = 3

P_a = F_a / A_a = 2 /1 = 2

P_b = 3 / 3 = 1

Thus P_a = density

2 = density

-----------------------------------------------------------------

But then another equation for Hydraulic Press (to lift up a car) says Work_a = Work_b therefore F_a

(For visual of 2nd model below see: http://hyperphysics.phy-astr.gsu.edu/hbase/pasc.html#hpress and http://hyperphysics.phy-astr.gsu.edu/hbase/pasc.html#car )

(F is the force and D is the distance of vertical travel ....similar to h in the previous equation) (in fact I believe h = D_b - D_a)

Thus F_a

(replacing Force with P * A in the previous equation)

(2

Since h in the previous equation is a vertical distance that is in some way related to D_a - D_b but then PARTAA does not match with PARTBB????

since h is related to the density of the fluid (h = 1/ density * g)?

So where did I make a mistake??

A vertical thin Tube_a of water (or any fluid) linked (at the bottom only) to a larger vertical Tube_b of water

One equation for hydraulic fluids for the above model is:

(For visual of 1st model below see "Fluid Pressure Calculations" at : http://hyperphysics.phy-astr.gsu.edu/hbase/pman.html#meac )

P_a = density

*** g ***h + P_b(Where P_a & P_b are the pressures applied downward at the surface of thin Tube_a & wider Tube_b)

Let say A_a (Area of Tube_a) = 1 and A_b = 3 and F_a = 2 and F_b = 3

P_a = F_a / A_a = 2 /1 = 2

P_b = 3 / 3 = 1

Thus P_a = density

*** g ***h + P_b2 = density

*** g ***h + 1******************************************therefore h = 1 / density * g (PARTAA)-----------------------------------------------------------------

But then another equation for Hydraulic Press (to lift up a car) says Work_a = Work_b therefore F_a

*** D_a = F_b ***D_b(For visual of 2nd model below see: http://hyperphysics.phy-astr.gsu.edu/hbase/pasc.html#hpress and http://hyperphysics.phy-astr.gsu.edu/hbase/pasc.html#car )

(F is the force and D is the distance of vertical travel ....similar to h in the previous equation) (in fact I believe h = D_b - D_a)

Thus F_a

*** D_a = F_b ***D_b(replacing Force with P * A in the previous equation)

(2

*** 1) ***D_a = (1*** 3) ***D_b******************************************************Therefore D_a = 3/2 * D_b (PARTBB)Since h in the previous equation is a vertical distance that is in some way related to D_a - D_b but then PARTAA does not match with PARTBB????

since h is related to the density of the fluid (h = 1/ density * g)?

So where did I make a mistake??