Discussion
For a fixed tail volume coefficient, doubling the tail arm allows the tail area to be
Answer: D
Correct answer: Halved
The tail volume coefficient is proportional to the product \( S_H l_H \), so holding it constant means that product is fixed:
\[ S_H \propto \frac{1}{l_H} \]
Doubling the arm therefore halves the area required. This is the fundamental trade in empennage sizing, and it is not free either way: a longer arm means more rear fuselage structure and weight, while a larger area means more wetted area and drag. The optimum depends on the fuselage the aircraft has anyway, which is why long-fuselage aircraft carry proportionately small tails.
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