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.
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.
1 answer