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A Piper Cub airplane has a gross weight of 1710 lb, a cruising speed of 110 mph, and a wing area of 182 ft². Determine the lift coefficient of this airplane for these conditions.

Answer :

Final answer:

The lift coefficient of the Piper Cub airplane cannot be determined without knowing the air density. The lift coefficient is a measure of the efficiency of an aircraft's wings in generating lift and is calculated using the formula: lift coefficient = lift / (0.5 * air density * velocity^2 * wing area).

Explanation:

To determine the lift coefficient of the Piper Cub airplane, we need to calculate the lift first using the given information. The formula for lift is:

lift = gross weight

Given: gross weight = 1710 lb

Next, we need to convert the cruising speed from mph to ft/s:

cruising speed = 110 mph

= 110 * 1.47 ft/s

= 161.7 ft/s

Now, we can calculate the lift coefficient using the formula:

lift coefficient = lift / (0.5 * air density * velocity^2 * wing area)

Since the air density is not given, we cannot calculate the exact lift coefficient without this information. However, we can provide the formula and explain how it is used to determine the lift coefficient.

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