an air craft of mass 5110 kg flying in level flight at speed of 398 knots air enters the engine is 65 kg/s and the jet speed relative to the air craft is 610 m/s if the lift drag ratio is 10 find accerlation and power and thrust
thanks if any one can help i done it but i get a very big numbers do not know where was my mistake
a jetplane discharges a jet at rate of 28kg/s with a velocity of 950 m/s relative to the plane if the forward speed of the plane is 875km/h what is the thrust developped on the plane and the power developed at the jet
the plane witch has now a weight of 2 mn now makes a climb of 3degrees to the horizontal and accerlates 0.15ms square
the thrust changes to 490 kn find the lift to drag ratio
3- on completion of the climb the aircraft makes a level turn of radius 1.5km at a speed of 850 km/h find the correct angle of bank and the total lift when turning
To find the acceleration, power, and thrust of the aircraft, we need to use the given information and relevant equations. Let's go step by step:
1. Convert the aircraft's speed from knots to meters per second.
- 1 knot = 0.5144 m/s
- Therefore, the aircraft's speed is 398 knots * 0.5144 m/s = 204.42 m/s
2. Calculate the thrust force using the equation:
Thrust = mass flow rate of air * change in velocity
- Mass flow rate of air entering the engine = 65 kg/s
- Change in velocity = jet speed relative to the aircraft = 610 m/s
- Thrust = 65 kg/s * 610 m/s = 39,650 N
3. Calculate the drag force. Since the aircraft is in level flight, the drag force is equal to the lift force (assuming no vertical acceleration).
4. Calculate the lift force using the lift-drag ratio:
Lift = Lift-drag ratio * Drag
- Given the lift-drag ratio as 10, we need to calculate the drag force first.
5. Calculate the drag force using the equation:
Drag = (1/2) * density of air * (airspeed)^2 * drag coefficient * wing area
Note: The density of air can be assumed to be constant at sea level, approximately 1.225 kg/m³. The drag coefficient and wing area are not provided in the question, so we will assume some typical values for demonstration purposes.
6. Once we have the drag force, we can calculate the lift force using the lift-drag ratio (assuming the lift and drag forces are perpendicular to each other).
7. Calculate the acceleration using Newton's second law:
Net force = Thrust - Drag = mass * acceleration
8. Calculate the power using the equation:
Power = Thrust * speed = Power = Force * distance/time = Force * velocity
By following these steps, you should be able to calculate the acceleration, power, and thrust of the aircraft. Make sure to double-check your calculations and units to avoid any mistakes.