In a wind tunnel experiment the pressure on the upper and lower surfaces of the wings are `0.90xx10^(5)Pa` and `0.91 xx 10^(5)Pa` respectively. If the area of the wing is `40 m^(2)` the net lifting force on the wing is

Options

A. `2xx10^(4)N`
B. `4xx10^(4)N`
C. `6xx10^(4)N`
D. `8xx10^(4)N`

Explanation

To calculate the net lifting force on the wing in a wind tunnel experiment, we can follow these steps:

### Step 1: Identify the pressures on the upper and lower surfaces of the wing.
- Pressure on the upper surface (P1) = \(0.90 \times 10^5 \, \text{Pa}\)
- Pressure on the lower surface (P2) = \(0.91 \times 10^5 \, \text{Pa}\)

### Step 2: Calculate the pressure difference between the lower and upper surfaces.
The pressure difference (ΔP) is given by:
\[ \Delta P = P2 - P1 \]
Substituting the values:
\[ \Delta P = (0.91 \times 10^5 \, \text{Pa}) - (0.90 \times 10^5 \, \text{Pa}) = 0.01 \times 10^5 \, \text{Pa} \]

### Step 3: Identify the area of the wing.
- Area (A) = \(40 \, \text{m}^2\)

### Step 4: Calculate the net lifting force (F) using the formula:
\[ F = \Delta P \times A \]
Substituting the values:
\[ F = (0.01 \times 10^5 \, \text{Pa}) \times (40 \, \text{m}^2) \]

### Step 5: Perform the multiplication.
\[ F = 0.01 \times 10^5 \times 40 = 4 \times 10^4 \, \text{N} \]

### Final Result:
The net lifting force on the wing is \(4 \times 10^4 \, \text{N}\).

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