Finding Thrust from aircraft, need rolling friction

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Homework Help Overview

The problem involves calculating the thrust of an Airbus A320 jetliner during takeoff, given its mass, takeoff speed, and the influence of rolling friction. The context is rooted in dynamics and forces acting on the aircraft during its acceleration.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between thrust, acceleration, and rolling friction, with attempts to isolate the friction coefficient. There are questions regarding the correct formulation of the equations and how to manipulate them to find the desired variables.

Discussion Status

Some participants have provided guidance on how to approach the problem by suggesting to separate the forces involved. There is an ongoing exploration of how to express the friction coefficient in terms of the known quantities, but no consensus has been reached on the correct method to isolate it.

Contextual Notes

Participants note the substantial impact of rolling friction and the need to consider it alongside thrust and acceleration. There is uncertainty regarding the correct expression for the friction coefficient and how to effectively relate it to the other variables in the problem.

jheld
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Homework Statement


An Airbus A320 jetliner has a takeoff mass of 75,000 kg. It reaches its takeoff speed of 82 m/s in 35s.
Find the Thrust of the engines, don't worry about air resistance, but rolling friction is substantial.

Homework Equations


Fnet=mass*acceleration
a=(82/35)
mass=75000
rolling_friction=mu*n (n=normal force) (mu=friction coefficient)
Fnetx=rolling_friction-thrust
Fnety=n-weight(m*g (gravity))
n=mg

The Attempt at a Solution



I got as far as:
Thrust=mu(m*g)-m*a

I know that I need to solve for mu, but I can't seem to find a good way to further relate the equations.
 
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Remember forces add. so
Force (thrust) = m * a + friction
You know m * a so you can separate out the friction force.
And since you know the mass you can get the co-efficeint.

I think this is a case where you are better putting in the numbers you know before re-arranging the equations, it should be obvious.
 
thanks for the help. though, I'm having trouble getting the friction coefficient by itself. i thought it was mu= F/mg, though I'm not sure if that's right.
 
Friction = u * normal force = u * weight = u * mg
 

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