At the surface of the ocean the water pressure is the same as the air pressure above the water, 15 Ib/in. Below the surface the water pressure increases by 4.34 Ib/in" for every 10 it of desc (a) Find an equation for the relationship between pressure (P, in Ib/in2) and depth (d, in ft) below the ocean surface. (b) Sketch a graph of this linear equation. 2아 20 Water pressure increases with depth
At the surface of the ocean the water pressure is the same as the air pressure above the water, 15 Ib/in. Below the surface the water pressure increases by 4.34 Ib/in" for every 10 it of desc (a) Find an equation for the relationship between pressure (P, in Ib/in2) and depth (d, in ft) below the ocean surface. (b) Sketch a graph of this linear equation. 2아 20 Water pressure increases with depth
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:At the surface of the ocean the water pressure is the same as the air pressure above the water, 15 lb/in. Below the surface the water pressure increases by 4.34 Ib/in for every 10 ft of descent.
(a) Find an equation for the relationship between pressure (P, in Ib/in?) and depth (d, in ft) below the ocean surface.
(b) Sketch a graph of this linear equation.
P
20
20아
15
15
10
10
d
1
3
4
3.
4
5
Water pressure increases with depth

Transcribed Image Text:20아
20아
15
15
10
10
d
d
1
2
4
1
3
4
(c) What does the slope of the graph represent?
O the increase in pressure per foot of descent
O the initial pressure per foot
O the number of feet descended
O the pressure at the surface
O the pressure at the lowest point of descent
What does the P-intercept of the graph represent?
O the increase in pressure per foot of descent
O the initial pressure per foot
O the number of feet descended
O the pressure at the surface
O the pressure at the lowest point of descent
(d) At what depth is the pressure 190 lb/in2? (Round your answer to the nearest foot.)
ft
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