Calculate the acceleration of a 300,000-kg jumbo jet just before takeoff when the thrust for each of its four engines is 30,000 N.
Theacceleration on a jumbo jet, for a given force on its engines
Answer to Problem 27A
The acceleration of the jet is
Explanation of Solution
Given:
A jumbo jet of mass 300,000-kg takes off by a force of 30,000 N on each of its four engines
Formula used:
Using Newton’s second law of motion, a body experiencing a force F gets accelerated in the direction of the force and its magnitude a is proportional to magnitude of the applied force. It also holds an inverse relation with the mass of the body m . This can be expressed as,
For a given force and mass of the object, the acceleration can be calculated as,
Calculation:
Here, force experienced by each of the four engines is 30,000 N. Thus, the force on the four engines together is given by,
The mass of the jet is given as 300,000-kg . Since it is just before take-off, the effect of gravity is not considered.
Substituting the parameters in the expression for acceleration, its value can be obtained as,
Conclusion :
The acceleration of the jumbo jet for a given thrust is
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