ps6 - Zoology 427 Biomechanics Problem Set 6. Some basic...

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Zoology 427 Biomechanics Problem Set 6. Some basic relationships: Assume induced grad is negligible for all that follows. Lift = L = 0.5 ρ S C L U 2 Drag = D = 0.5 ρ S C D U 2 For gliders: L = m g cos( θ ) D = m g sin( θ ) θ = glide angle Animal Data (there are more data here than you need to solve the problems). For wings and flukes (ignore effects of angle of attack). C L = 1.0 C D = 0.3 Vultures mass = 1 kg span of wings = 2.0 m Area of wings = 1.0 m 2 body drag coefficient = 0.3 body projected area = 0.2 m 2 Whales mass = 1000 kg span of fluke = 3.0 m Area of fluke = 5.0 m 2 body drag coefficient = 0.5 body projected area = 5 m 2 fluke flapping frequency = f = 1 hz fluke flapping amplitude = a = 1m 1. A sail plane pilot followed a vulture travelling across the Kalahari desert. With no noticable flapping, the bird was able to travel many kilometers by clever use of thermals spaced throughout the desert. In this problem, we will use simple aerodynamics to compute the average distance between thermals that would permit long distance
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ps6 - Zoology 427 Biomechanics Problem Set 6. Some basic...

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