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Old 06-05-2007, 08:58 AM   #1
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Question of physics:

Let's say that I have an airplane sitting on the runway. Fully loaded it weighs in at 377,842 kilograms. It has four engines capable of developing 28,710 kg of thrust each, or 114,840 kg total. The thrust/weight ratio, therefore, is .30396.

I'm trying to determine the rate of acceleration of my aircraft down the runway when full power is applied. Can any of you physics experts lend me a hand?
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Old 06-05-2007, 09:48 AM   #2
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Re: Question of physics:

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Originally Posted by MarkuzLS1 View Post
Let's say that I have an airplane sitting on the runway. Fully loaded it weighs in at 377,842 kilograms. It has four engines capable of developing 28,710 kg of thrust each, or 114,840 kg total. The thrust/weight ratio, therefore, is .30396.

I'm trying to determine the rate of acceleration of my aircraft down the runway when full power is applied. Can any of you physics experts lend me a hand?
Before the problem can be solved, there are some things that need to be addressed..kg's aren't a measure of weight. lbs or in this case because you are using the metric system, newton's are the measure of weight/force. you don't need to know the thrust to weight ractio really...all you need to know is that F = ma...where a is the aircraft's acceleration, m is the mass of your aircraft, namely 377,842 kg, F is the thrusting force of the aircraft which we don't really know because you gave us thrust is kg. Thrust is a force, and therefore we need it in newton's which technically means we would need to know the acceleration of the engine exhaust flow...Also, I am assume you are neglecting all frictional and aerodynamic forces during takeoff? and also ignoring the fact that your weight is changing during takeoff as fuel burns? (by the way, I am an Aerospace Engineer, so sorry if the answer is a little convoluted)
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Old 06-05-2007, 09:52 AM   #3
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Re: Question of physics:

Thrust: 253,200 lbs
Weight: 833,000 lbs

I had converted everything to metric...so here it is in standard.

Yeah, there's no need to worry about changing weight due to burning fuel and frictional losses due to air and rolling resistance.
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Old 06-05-2007, 09:55 AM   #4
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Re: Question of physics:

Quote:
Originally Posted by MarkuzLS1 View Post
Thrust: 253,200 lbs
Weight: 833,000 lbs

I had converted everything to metric...so here it is in standard.

Yeah, there's no need to worry about changing weight due to burning fuel and frictional losses due to air and rolling resistance.
ok now the problem is easy...simply take the weight of the aircraft, 833000lbs and divide it by the acceleration due to gravity which is 32.174 ft/s^2 to get the mass of the aircraft, Then use F = ma to solve for the aircraft's acceleration down the runway in ft/s^2. F = Thrust, m = mass of aircraft...make sense?
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Old 06-05-2007, 09:58 AM   #5
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Re: Question of physics:

should get approximately 9.8 ft/s^2 ish
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Old 06-05-2007, 10:05 AM   #6
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Re: Question of physics:

Gotcha. It all makes sense, now.
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Old 06-05-2007, 10:17 AM   #7
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Re: Question of physics:

if this was another airplane on a conveyor belt question i was gonna go ape****!
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Old 06-05-2007, 10:37 AM   #8
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Re: Question of physics:

"What is the airspeed velocity of an unlaiden swallow?" :dunno:
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Old 06-05-2007, 10:38 AM   #9
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Re: Question of physics:

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"What is the airspeed velocity of an unlaiden swallow?" :dunno:
What do you mean? African or European?
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Old 06-05-2007, 10:39 AM   #10
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Re: Question of physics:

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if this was another airplane on a conveyor belt question i was gonna go ape****!
No, it was an acceleration of a 747 question... :dunno:
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Old 06-05-2007, 02:59 PM   #11
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Re: Question of physics:

all you need is a steam catapult
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