This preview shows page 1. Sign up to view the full content.
Problem 4.4
[Difficulty: 2]
Given:
Data on Boeing 777200 jet
Find:
Minimum runway length for takeoff
Solution:
Basic equation
Σ
F
x
M
dV
dt
⋅
=
MV
⋅
dV
dx
⋅
=
F
t
=
constant
=
Note that the "weight" is already in mass units!
Separating variables
MV
⋅
dV
⋅
F
t
dx
⋅
=
Integrating
x
MV
2
⋅
2F
t
⋅
=
x
1
2
325
×
10
3
×
kg
225
km
hr
1km
⋅
1000 m
⋅
×
1h
r
⋅
3600 s
⋅
×
⎛
⎝
⎞
⎠
2
×
1
2
425
×
10
3
×
×
1
N
⋅
Ns
2
⋅
kg m
⋅
×
=
x
747 m
=
This is the end of the preview. Sign up
to
access the rest of the document.
Unformatted text preview: M dV dt ⋅ F t = dV F t M dt ⋅ = Integrating t M V ⋅ F t = t 325 10 3 × kg 225 × km hr 1 km ⋅ 1000 m ⋅ × 1 hr ⋅ 3600 s ⋅ × 1 2 425 × 10 3 × × 1 N ⋅ N s 2 ⋅ kg m ⋅ × = t 23.9 s = Aerodynamic and rolling resistances would significantly increase both these results...
View
Full
Document
This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.
 Fall '07
 Lear
 Fluid Mechanics

Click to edit the document details