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Homework 3 Solution

# Homework 3 Solution - AOE 3104 Homework#3 Assigned February...

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AOE 3104 Homework #3 Assigned: February 4, 2008 Due: February 11, 2008 (Place your homework in the box outside my office by 5 PM.) Note to the Students: You can find Standard Atmosphere Tables on p.11 and p.12 of your Marchman texts. Also, in this solution, τ refers to thrust and T refers to temperature. Problem 1. A certain commercial passenger aircraft is designed to cruise at 30 , 000 ft at a Mach number of 0.84. Its weight in cruise is approximately 400 , 000 lbs . It has a wing-span 200 ft and a planform aspect ratio of 4.3. In level flight, this aircraft has a Lift to Drag ratio of 6.8. The lift curve slope ( dC L ) of the wing is 3 . 4 per radian and the zero lift angle of attack ( α 0 L ) of the wing is - 1 degree . Assuming straight and level flight (i.e. Lift = Weight and Thrust = Drag), find the following: a. The flight speed in miles per hour and in knots. (2 pts) V = Ma , given M = 0.84, a = γ p ρ = γRT from Standard Atmosphere Tables ... At 30 , 000 ft , T = 411 . 75 R = 228 . 75 K . R air = 287 m 2 s 2 K = 1716 . 16 ft 2 s 2 R . γ air = 1 . 4 a = (1 . 4) (411 . 75 R ) 1716 . 16 ft 2 s 2 R = 994 . 6 ft/s V = Ma = 0 . 84 (994 . 6 ft/s ) = 835 . 5 ft/s = 569 . 6 mph = 495 . 0 kts b. The lift coefficient (

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Homework 3 Solution - AOE 3104 Homework#3 Assigned February...

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