1. Team 5 D&C QDR Scott Bird Mike Downes Kelby Haase Grant Hile
Cyrus Sigari
Sarah Umberger
Jen Watson
November 25, 2003
QDR

2. Presentation Outline Loiter Endurance Best Angle and Rate of Climb
Takeoff Velocity and Ground Roll
Turning Rate
November 25, 2003
QDR

3. Method Used to Calculate Endurance
Velocity for best endurance at minimum power required
V = sqrt[(2*(W/S)/ρ)*(sqrt(K/(3*CD0)))]
V = 32.7 ft/s
W/S =
ρ = slug/ft
K = 1/pi*A*e
A = 7
e =
CD0 = 0.036
November 25, 2003
QDR

4. Aircraft Loiter Endurance
E = (L_D)*((550*ηp)/(Cbhp*V))*log(Wi/Wf) (Raymer 17.31)
L/D = 0.8*L/Dmax
Cbhp = lb/(hour/hp) (from mfg. Website)
Wi = 49.6 lbs
Wf = 43.6 lbs (6 pounds of fuel)
E = 51 minutes
November 25, 2003
QDR

5. γ = sin-1([550*bhp*ηp/(V*W) - (D/W)]) (Raymer 17.43)
Best Angle of Climb
γ = sin-1([550*bhp*ηp/(V*W) - (D/W)]) (Raymer 17.43)
The best rate of climb occurs at velocity required at minimum power (same velocity used for best endurance)
γ = 28o
November 25, 2003
QDR

6. KT = (T/W) - μg; (Eq. 17.102 in Raymer)
Takeoff Ground Roll
SG = (1./(2.*g.*KA)).*log((KT + KA.*Vf.^2)./(KT + KA.*Vi.^2)) ( from Raymer)
KT = (T/W) - μg; (Eq in Raymer)
KA = (ρ./(2.*(W./S))).*(μg.*CL - CD0 - K.*CL.^2);
(Eq in Raymer)
μg = 0.08 for rolling start in wet grass
VTO = 36.3 ft/s
SG = 50.4 ft ??? (assumptions)
November 25, 2003
QDR

7. Ψ = W*sqrt(n2 – 1)/[(W/g)V] = g*sqrt(n2 – 1)/V (Raymer 17.51)
Turning Rate
Ψ = W*sqrt(n2 – 1)/[(W/g)V] = g*sqrt(n2 – 1)/V (Raymer 17.51)
n = [q/K(W/S)]*[(T/W) – q*CD0/(W/S)] (Raymer 17.53)
K = 1/CLα (Raymer 12.57)
At cruise V = 50 ft/s and density at 600 feet is slug/ft3
Ψ = 1.54 rad/sec
November 25, 2003
QDR

8. Make sure that all numbers are current and updated from every sub-team
Issues to Address
Make sure that all numbers are current and updated from every sub-team
Do a reality check on the takeoff ground roll distance
Investigate further performance characteristics concerning maneuvers, landing, etc.
November 25, 2003
QDR

9. Questions?
Questions?
November 25, 2003
QDR

10. Calculations Re = 432,0000; V = 36.3 ft/s (Takeoff Conditions)
Re = 700,000, V = 50 ft/s (Cruise Conditions)
November 25, 2003
QDR