Airplane takeoff from an aircraft carrier is assisted by a steam-driven piston/cylinder assembly. A 17,500 kg airplane should accelerate from 0 to 30 m/s with 30% of its energy coming from the steam piston. The pressure in the cylinder starts at 10 bar (1000 kPa), dropping linearly with volume to reach 2 bar (200 kPa) at the end of the process. What is the needed piston displacement volume in m3?

The volume =

Explanation:

Given Data:

mass = m = 17500 kg

initial velocity = Vi = 0 m/s

Final velocity = Vf = 30 m/s

Initial Pressure = Pi = 1000KPa

FInal Pressure = Pf = 200 Kpa

Required?

Piston Displacement Volume = V = ?

SOlution

We will first find out the change in kinetic energy and from that energy, we will calculate the volume required.

as we know:

But it is mentioned that only 30 percent of this energy comes from steam driven piston.

therefore,

No we will calculate the volume from energy equation

Now

Substituting this value

answer:

(b)

explanation: