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Problem 75 Hard Difficulty

Pressure in the spinal fluid is measured as shown in Figure $11.46 .$ If the pressure in the spinal fluid is 10.0 $\mathrm{mm}$ Hg: (a) What is the reading of the water manometer in $\mathrm{cm}$ water? (b) What is the reading of the person sits up, placing the top of the fluid 60 $\mathrm{cm}$ above the tap? The fluid density is 1.05 $\mathrm{g} / \mathrm{mL} .$

Answer

(a) $P_{\mathrm{S}}=13.6 \mathrm{cm} \mathrm{H}_{2} \mathrm{O}$
(b) $P=76.5 \mathrm{cm} \mathrm{H}_{2} \mathrm{O}$

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Physics 101 Mechanics

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Chapter 11

Fluid Statics

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Video Transcript

but hold that pressure in the spinal fluid is measured as shown in Figure 11 46 which I've done a poor job of reproducing here, where we have a person laying on a table. There is a spinal tap. You should see the movie, too, and started into the spine, and they can measure the pressure by running a tube over here and then measuring the difference in height between the spinal cord and wherever the water in the tube gets elevated to. So we have some water in the tube here, say, and then it gets elevated a distance age to solve this. Okay, we just need that you need to essentially convert the pressure. We're told that the pressure and the, um in the spinal fluid is 10 millimeters at market. So we want what we want to know what the reading of the water Manama in centimeters will be. So we basically just need to do a unit conversion. So we have 10 millimetres of mercury. One millimeter of mercury is 133. Pascal's one centimeter of water is 98.1 Pascal's, so we wind up with 30 13.6 centimeters of water as the pressure with that asked, Where is the reading? If the person sits up placing the top of the fluid 60 centimeters above the tap and that they're fluid density is 1.5 grams per mil into your middle leader, so we know that the pressure now will just be the pressure. Itwas originally, plus the extra pressure because the person is sitting up. So before we had 13.6 centimeters of water, and now the density of the fluid is 1050 grams per meter cube G, any 10500.8 meters per second square and ages 60 centimetres. You plug that in and we get that that is in the second term. Here is 6174 Pascal's, which we could then convert to centimetres of water and that we wanted up with 76.6 centimeters of water

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