Airplane performance - Flight Mechanics & Space Dynamics - Aerospace Engineering Previous Year Questions

A general aviation airplane is gliding with a speed \(V_g\) at minimum glide angle. Which of the following statements is/are true?

A jet-powered airplane is steadily climbing at a rate of 10 m/s. The air density is 0.8 kg/m³, and the thrust force is aligned with the flight path. Using the information provided in the table below, the airplane’s thrust to weight ratio is ________ (rounded off to one decimal place).

While taking off, the net external force acting on an airplane during the ground roll segment can be assumed to be constant. The airplane starts from rest. \(S_{LO}\) and \(V_{LO}\) are the ground roll distance and the lift-off speed, respectively. \(\alpha V_{LO}\) (\(\alpha > 0\)) denotes the airplane speed at 0.5 \(S_{LO}\). Neglecting changes in the airplane mass during the ground roll segment, the value of \(\alpha\) is ________ (rounded off to two decimal places).

An aircraft starts gliding in power-off condition at an altitude of 4 km. Given that the maximum lift to drag ratio of the aircraft is 15, the maximum glide range that the aircraft can cover, measured along the ground, is _______ km (rounded off to the nearest integer).

\(W_A\) and \(W_B\) are the respective maximum take-off weights of an aircraft for two ambient air conditions given below.
Condition A: \(p = 1 \text{ bar}, T = 50 ^\circ\text{C}\); Condition B: \(p = 0.66 \text{ bar}, T = -30 ^\circ\text{C}\)
If all other parameters relevant for take-off are kept the same in these two conditions, the ratio \(W_B/W_A\) is __________ (rounded off to 3 decimal places).