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tristan2010
Sep 20, 2010, 08:14 AM
An Airplane weighing 12000N is in a 30deg bank turn. The wings are producing 12000N of lift.
Compute the net forces along the vertical and horizon axis.
Compute vertical and horizontal accelerations

Unknown008
Sep 20, 2010, 08:19 AM
Have a quick sketch of what is happening to your airplane. Break down the forces into components parallel and perpendicular to the vertical and you'll get the net force by adding/subtracting the vectors, and from there, you can use F=ma to find the acceleration.

Post what you get! :)

Unknown008
Sep 20, 2010, 08:38 AM
EDIT: Sorry, didn't see your picture. Could you try avoiding using the comment button please and use the answer this question box? Thanks. I'm looking at what you've done now...

tristan2010
Sep 20, 2010, 08:41 AM
I don't know what to do from there. By getting the 6000N and 10392N I found vertical and horizontal components of lift... After that Im clueless =/

Unknown008
Sep 20, 2010, 08:51 AM
Ok, here's how I see the airplane:

http://p1cture.me/images/81262331180011504127.png

The force is perpendicular to the wings, not along them. If the plane was horizontal, the lift should be vertical to allow it to rise.

Can you try it again?

tristan2010
Sep 20, 2010, 08:59 AM
Aha, mas mixing up two separate images I made, and good catch =]This would mean that my earlier note of vertic. And horiz. Components of lift are backwards, right?

Unknown008
Sep 20, 2010, 09:07 AM
Backwards? What do you mean by that? :confused:

Anyway, here's the vertical component:

Vertical = 12000 cos(30) - 12000 = 6000(\sqrt3-2)\ N

Horizontal = 12000 sin(30) = 6000\ N

Can now find the mass of the airplane, and get the acceleration? :)

And last thing, could you use the answer box instead of the comment button please? Thanks :)

tristan2010
Sep 20, 2010, 09:15 AM
The mass would be1224.5. But I just found mass by W=MG. I don't see how that fits in.

Unknown008
Sep 20, 2010, 09:26 AM
Yes, that's it :)

It's weight is 12000 N, so, it's mass is 12000/9.8 = 1224.5 kg

Now, use F = ma to get the acceleration in the direction of the resultant vectors.

You have one horizontal acceleration, and one vertical acceleration. Use the resultant force you got in (a).

tristan2010
Sep 20, 2010, 09:29 AM
Would the mass be opposite to the 12000N of lift?

tristan2010
Sep 20, 2010, 09:30 AM
Would the mass be opposite to the 12000N of lift?

tristan2010
Sep 20, 2010, 09:34 AM
And what does that have to do with the net force along the vertical and horizontal axis?

Unknown008
Sep 20, 2010, 09:34 AM
The mass is a scalar quantity and is not 'opposite' of anything (or I'm not understanding what you are saying here... )

The force on the horizontal is 6000 N, the mass of the plane is 1224.5 kg.

So,

6000 N = (1224.5 kg)(a)

Find the value of a, the horizontal acceleration of the plane.

Then, use the same formula for the vertical acceleration. :)

tristan2010
Sep 20, 2010, 09:43 AM
Thanks for all your help and patience =].

Unknown008
Sep 20, 2010, 10:00 AM
You're welcome :)