4 Consider an airplane with a total wing surface of 90 m^2. At a certain speed the difference in air pressure below and above the wings is 4.2% of atmospheric pressure. Find the lift on the airplane.
To find the lift on the airplane, we need to calculate the force exerted by the difference in air pressure on the wings.
Step 1: Convert the percentage to decimal form.
The difference in air pressure is given as 4.2% of atmospheric pressure. Therefore, the decimal form of 4.2% is 0.042.
Step 2: Calculate the lift force.
The lift force on the airplane is given by the equation:
Lift = Pressure difference × Wing surface area
Given that the wing surface area is 90 m^2 and the pressure difference is 0.042 times the atmospheric pressure, we can substitute these values into the equation to calculate the lift:
Lift = 0.042 × Wing surface area
Lift = 0.042 × 90
Lift = 3.78 Newtons
Therefore, the lift on the airplane is approximately 3.78 Newtons.
To find the lift on the airplane, we need to calculate the difference in air pressure and then multiply it by the wing surface area.
Step 1: Calculate the difference in air pressure:
The difference in air pressure is given as 4.2% of atmospheric pressure. To find the difference, we need to convert the percentage to a decimal and then multiply it by the atmospheric pressure.
Atmospheric pressure = 1 atm (standard atmospheric pressure)
4.2% = 4.2/100 = 0.042 (decimal)
Difference in air pressure = 0.042 * 1 atm
Step 2: Multiply the difference in air pressure by the wing surface area:
Lift = Difference in air pressure * Wing surface area
Wing surface area = 90 m^2
Lift = 0.042 * 1 atm * 90 m^2
Calculate the numerical value of the lift using the given values.
Note: The unit of pressure used (atm) should be consistent with the unit used for atmospheric pressure. The area unit (m^2) is consistent with the wing surface area.