What is the stall speed of an airplane under a load factor of 2.5 G's if the unaccelerated stall speed is 60 knots?

What is the stall speed of an airplane under a load factor of 2.5 G's if the unaccelerated stall speed is 60 knots?

• A. 62 knots
• B. 84 knots
• C. 96 knots
• D. 120 knots

Answer: (C)

To determine the stall speed of an airplane under a specific load factor, you can use the relationship between load factor and stall speed. Stall speed increases with the square root of the load factor because stall speed is proportional to the square root of the aerodynamic load factor acting on the aircraft. The formula that is often used to calculate the new stall speed given a load factor is: \[ V_{s\_new} = V_{s\_0} \times \sqrt{n} \] Where: - \( V_{s\_new} \) is the new stall speed under the load factor. - \( V_{s\_0} \) is the unaccelerated stall speed (in this case, 60 knots). - \( n \) is the load factor (in this case, 2.5). So, applying the values: \[ V_{s\_new} = 60 \, \text{knots} \times \sqrt{2.5} \] Calculating \( \sqrt{2.5} \): \[ \sqrt{2.5} \approx 1.58 \] Now, multiply this by the unaccelerated stall speed: \[ V_{s\_

To determine the stall speed of an airplane under a specific load factor, you can use the relationship between load factor and stall speed. Stall speed increases with the square root of the load factor because stall speed is proportional to the square root of the aerodynamic load factor acting on the aircraft.

The formula that is often used to calculate the new stall speed given a load factor is:

[ V_{s_new} = V_{s_0} \times \sqrt{n} ]

Where:

• ( V_{s_new} ) is the new stall speed under the load factor.

• ( V_{s_0} ) is the unaccelerated stall speed (in this case, 60 knots).

• ( n ) is the load factor (in this case, 2.5).

So, applying the values:

[ V_{s_new} = 60 , \text{knots} \times \sqrt{2.5} ]

Calculating ( \sqrt{2.5} ):

[ \sqrt{2.5} \approx 1.58 ]

Now, multiply this by the unaccelerated stall speed:

[ V_{s_