Answer to Question #122492 in Physics for Gian

Question

If animal is 50ft tall with length of 120ft long how heavy will it be with four legs and how big will a wingspan needed? Also how big will the wingspan be for this creature needed to be to carry its weight to fly high in sky?

Answer 1

Calculate the mass of the creature assuming standard creature width a=10 ft. The standard density of flesh is 1100 kg/m³, or 67 lb/ft³.

$$m=\rho V=\rho abc.$$

Assume that the lifting pressure is p=2000 lb_f/ft² and average wing length l=10 ft.

The force of gravity must be balanced by the lifting force:

$$mg=pA,\\ mg=pls,$$

the wingspan needed will be

$$s=\frac{mg}{pl}=\frac{\rho abc}{pl},\\\space\\ s=\frac{67 \cdot10\cdot50\cdot120}{2000\cdot10}=201\text{ ft}.$$