Question

Fuel weighing 230,000 N is pumped into the aircraft. This fuel moves upwards through a vertical height of 4.7 m. The power developed by the pump is 1600 W. Calculate the time needed to refuel the aircraft.

a) 15 seconds
b) 25 seconds
c) 50 seconds
d) 100 seconds

Answer 1

The time needed to refuel the aircraft is approximately 676 seconds.

Step-by-step explanation:

To calculate the time needed to refuel the aircraft, we can use the formula for power: power = work/time. The work done is equal to the force applied multiplied by the distance moved, which in this case is the weight of the fuel multiplied by the height it moves. Given that the power developed by the pump is 1600 W, and the weight of the fuel is 230,000 N, and the height is 4.7 m, we can rearrange the formula to solve for time. So, time = work/power.

Plugging in the given values, we have time = (230,000 N * 4.7 m) / 1600 W = 675.625 s. Therefore, the time needed to refuel the aircraft is approximately 676 seconds.