- #1
MrKoffee
- 6
- 0
A transport plane has two gliders tied behind it. The max force allowable on the tow rope is 12000N. The mass of each glider is 700kg. A velocity of 40 m/s is required to take off. What is the minimum runway space required.
The solution I have arrived at doesn't seem correct, hopefully someone can tell me where I have strayed off the path.
F = ma
12000 = (700+700)a
a = 12000/1400
a = 8.57 m/s^2
V = V(init) +at
40 = 0 +8.57t
t = 40/8.57
t = 4.67s
S = 1/2(a)t^2+V(init)t + S(init)
1/2(8.57)(4.67^2) + 0 + 0 = 20 meters
I don't think the plane could reach 40 m/s in 4.67 seconds and it would have to be a really small transport plane to take off in 20 meters. Hopefully someone can point out where I went wrong.
Thanks for the help.
The solution I have arrived at doesn't seem correct, hopefully someone can tell me where I have strayed off the path.
F = ma
12000 = (700+700)a
a = 12000/1400
a = 8.57 m/s^2
V = V(init) +at
40 = 0 +8.57t
t = 40/8.57
t = 4.67s
S = 1/2(a)t^2+V(init)t + S(init)
1/2(8.57)(4.67^2) + 0 + 0 = 20 meters
I don't think the plane could reach 40 m/s in 4.67 seconds and it would have to be a really small transport plane to take off in 20 meters. Hopefully someone can point out where I went wrong.
Thanks for the help.