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Glaucoma. Under normal circumstances, the vitreous humor, a jelly-like substance in the main part of the eye, exerts a pressure of up to 24 $\mathrm{mm}$ of mercury that maintains the shape of the eye. If blockage of the drainage duct for aqueous humor causes this pressure to increase to about 50 $\mathrm{mm}$ of mercury, the condition is called glaucoma. What is the increase in the total force (in newtons) on the walls of the eye if the pressure increases from 24 $\mathrm{mm}$ to 50 $\mathrm{mm}$ of mercury? We can quite accurately model the eye as a sphere 2.5 $\mathrm{cm}$ in diameter.

6.8 $\mathrm{N}$

Physics 101 Mechanics

Chapter 13

Fluid Mechanics

Temperature and Heat

Cornell University

Simon Fraser University

University of Sheffield

University of Winnipeg

Lectures

03:45

In physics, a fluid is a s…

09:49

A fluid is a substance tha…

05:32

Light Inside the Eye. The …

03:21

$\bullet$ Light inside the…

01:49

The aqueous humor in a per…

02:36

The lens in a normal human…

02:03

00:50

The aqueous humor in a pe…

04:46

The cornea behaves as a th…

The cornea as a simple len…

05:06

The vitreous humor, a tran…

01:36

Blockage of the scleral ve…

12:15

To fit a contact lens to a…

00:34

Behind the lens of the eye…

02:57

The normal human eye has m…

01:57

02:04

$\cdot$ The cornea as a th…

03:34

Fitting Contact Lenses wit…

In one form of cataract su…

02:11

\cdots In one form of cata…

00:58

Cataracts, the medical con…

in this problem were asked about the force increase in someone's eye if they have glaucoma and as a starting point, the values that were given her in millimetres of mercury for the pressure. And we want to convert that Teo Newtons per meter squared the Asai unit so that we can express the force and mutants. So first off, we need to look up the conversion factor between millimetres of Mercury and Newtons per meter squared, and it turns out that there's 133.3 Newtons per meter squared for each of millimeter rise and mercury. And we're told that the pressure in a normal eye is about 24 millimeters mercury and in an eye with glaucoma can go up to 50. So the the what we're interested in here is the change in pressure. So it's given by 50 minus 24 and then because we want to express this in Newtons per meter, squared or pass calls, we need to multiply by this conversion factor of 133.3. So, lastly, if we want to know what the the force associated with this change in pressure is, we need to multiply by the by the area of the eye. So the change in force will be equal to the change in pressure times. Aye, aye. And this change in pressure is what we calculated and we're here and a I is well approximated. Biosphere and a sphere has surface area for pyre squared and were given that r is 2.5 centimeters. But to get the units to check out, we want to convert that Teo two meters. So we want to express our asse 0.25 meters and lastly, it's it's just a matter of plugging everything and we need to plug in this value of our in order into this equation in order to get the surface area of the eye. And then once we have that, we can substitute it in there to find the change in force.

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