The pressure on a scuba diver at sea level is 14.7 pounds per sq inch (psi). The pressure increases 0.445 psi for each foot of depth. Suppose the pressure on a diver is 41.4 psi. How deep is she?
60 feet
Well, if the pressure on the diver is 41.4 psi, and the pressure increases by 0.445 psi for each foot of depth, we can calculate the depth by subtracting the sea level pressure of 14.7 psi from the total pressure of 41.4 psi. So, the difference between the two pressures is 26.7 psi.
Dividing 26.7 psi by 0.445 psi/ft, we find that she is approximately 60 feet deep. She's really diving deep! Maybe she's searching for buried treasure or just trying to avoid her in-laws.
To find out how deep the diver is, we can use the formula:
Depth = (Pressure - Sea Level Pressure) / Pressure Increase per Foot
Given:
Sea Level Pressure = 14.7 psi
Pressure Increase per Foot = 0.445 psi
Pressure on the diver = 41.4 psi
Substituting the values into the formula, we get:
Depth = (41.4 - 14.7) / 0.445
Simplifying the equation:
Depth = 26.7 / 0.445
Depth ≈ 60.0 feet
The diver is approximately 60 feet deep.
To find out how deep the scuba diver is, we can set up a mathematical equation based on the information provided.
Let's define:
P = pressure on the scuba diver (41.4 psi)
P0 = pressure at sea level (14.7 psi)
d = depth of the scuba diver
We know that the pressure at any depth (P) can be calculated using the formula:
P = P0 + (0.445 * d)
We can substitute the given values into the equation:
41.4 = 14.7 + (0.445 * d)
To solve for d, we need to isolate it on one side of the equation. Let's subtract 14.7 from both sides:
41.4 - 14.7 = 14.7 + (0.445 * d) - 14.7
26.7 = 0.445 * d
Now, divide both sides of the equation by 0.445:
26.7 / 0.445 = (0.445 * d) / 0.445
d ≈ 60
Therefore, the scuba diver is approximately 60 feet deep.
p = 14.7 + 0.445d
solve for d when p=41.4