Question

What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 35.0 cm?

Answer 1

To calculate the force exerted by the water on the window of an underwater vehicle at a certain depth, use the formula Force = Pressure x Area. Calculate the pressure using the formula Pressure = Density x Gravity x Depth. Calculate the area using the formula Area = π x (radius)^2.

Step-by-step explanation:

The force exerted by the water on the window of an underwater vehicle at a certain depth can be calculated using the formula:

Force = Pressure x Area

The pressure exerted by water at a given depth is given by the formula:

Pressure = Density x Gravity x Depth

Using the given diameter of the window, you can calculate the area of the window by using the formula for the area of a circle:

Area = π x (radius)^2

By substituting the values into the formulas and calculating, you can find the force exerted by the water on the window.

Answer 2

First, you find the pressure experience by the car at that depth. This pressure is called the hydraulic pressure with the equation: P=density*gravity*depth. The density of water is 1000 kg/m^3; the acceleration due to gravity is 9.81 m/s^2. So, we need a value for the depth. Suppose, the car was underwater 6 m deep. Then the pressure would be:

Pressure = 1000 kg/m3*9.81 m/s^2*6m = 58,860 Pascals

Pressure, by definition, is the force over unit area. Since we know the are of the circular window, we can therefore determine the force exerted by the water to the car's window.

P =F/A
P=F/(π*(0.35/2)^2)
58,860 = F/0.0962
F = 5,663 Newtons