The pressure on a scuba diver at sea level is 14.7 pound psi.The pressure increases 0.0445 psi for each foot of depth. Suppose the diver is 32.5 psi. How deep is he?
To find the depth at which the diver is, we can use the formula:
Depth (in feet) = (Pressure (in psi) - Pressure at sea level (in psi)) / Pressure increase per foot (in psi)
Let's plug in the given values into the formula:
Depth = (32.5 psi - 14.7 psi) / 0.0445 psi/ft
Simplifying the equation:
Depth = 17.8 psi / 0.0445 psi/ft
Dividing the pressure by the pressure increase per foot:
Depth ≈ 400 ft
Therefore, the diver is approximately 400 feet deep.
To determine how deep the scuba diver is, we need to use the given information about the pressure at sea level and the rate at which the pressure increases with each foot of depth.
First, let's calculate the difference in pressure between sea level (14.7 psi) and the current pressure (32.5 psi), which is an increase of 32.5 - 14.7 = 17.8 psi.
Next, we'll divide this pressure difference by the rate at which the pressure increases per foot (0.0445 psi/ft) to find the depth:
Depth = Pressure difference / Pressure increase per foot
Depth = 17.8 psi / 0.0445 psi/ft
By dividing, we get:
Depth = 400 ft
Therefore, the scuba diver is at a depth of 400 feet.
P = .0445 x + 14.7 , where x is the number of feet of depth
32.5 = .0445x + 14.7
solve for x
hint: comes out to a nice number