The aircraft has a take-off mass of 320 000 kg. Each of the 4 engines can produce a maximum force of 240 kN.
calculate the maximum acceleration of the aircraft.
4F=ma
a=$F/m
a=4F/m =4•240/320000=0.003m/s^2
a=4F/m =4•240000/320000=3m/s^2
To calculate the maximum acceleration of the aircraft, we need to use Newton's second law of motion, which states that the force applied to an object is equal to its mass multiplied by its acceleration (F = m*a).
Given:
Take-off mass of the aircraft (m) = 320,000 kg
Force produced by each engine (F) = 240 kN = 240,000 N
Since there are 4 engines, the total force generated by the engines is:
Total force (F_total) = Force produced by each engine × Number of engines
= 240,000 N × 4
= 960,000 N
Now, we can substitute the values into Newton's second law to find the acceleration:
F_total = m*a
Rearranging the equation to solve for acceleration (a):
a = F_total / m
Substituting the given values:
a = 960,000 N / 320,000 kg
= 3 m/s²
Therefore, the maximum acceleration of the aircraft is 3 m/s².