A jet aircraft is traveling at 241 m/s in horizontal flight. The engine takes in air at a rate of 34.9 kg/s and burns fuel at a rate of 3.75 kg/s. The exhaust gases are ejected at
566 m/s relative to the aircraft.
Find the delivered power.
Answer in units of W.
To find the delivered power, we need to calculate the thrust force and multiply it by the velocity of the aircraft.
The thrust force can be calculated using the equation:
Thrust force = (m_dot_air + m_dot fuel) * exhaust velocity
where m_dot_air is the mass flow rate of air, m_dot_fuel is the mass flow rate of fuel, and exhaust velocity is the velocity of the exhaust gases relative to the aircraft.
Substituting the given values:
Thrust force = (34.9 kg/s + 3.75 kg/s) * 566 m/s
Thrust force = 38.65 kg/s * 566 m/s
Now we can calculate the delivered power using the equation:
Delivered power = Thrust force * aircraft velocity
Delivered power = (38.65 kg/s * 566 m/s) * 241 m/s
Calculating this expression will give you the delivered power in watts.