Calculate the mass (in metric tons) of a blade made of Aluminum, MAlblade , setting the stress limit equal to fatigue limit of the material, σAl0=150MPa. Hint: Use the expressions you have derived in question 3. and 6. to calculate Aflap0 and Aedge0. Insert these material cross sections in eq. 6, with rhomat=rhoAl
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Calculating the mass of a blade made of Aluminum in metric tons
Explanation:
A _0 ^flap = 81 * 8π * σ_0^ flap * h _0^ flap * ρair * V * r² * L³
σ_0^ flap = 150 * 10^6
Calculate A _0 ^edge and σ_0^edge = 150 * 10^6
M = 2* (A _0 ^flap + A _0 ^edge) * 86 * 2700
To convert M to metric tons, we do M/1000, which will be the final answer.
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