031-04 - Mass and balance details of aircraft

An aeroplane has a mean aerodynamic chord (MAC) of 135 inches. The leading edge of this chord is 526.6 inches aft of the datum. Calculate the location of the centre of gravity of the aeroplane in terms of percentage MAC if the mass of the aeroplane is acting vertically through a Balance Arm located 560 inches aft of the datum.

• 18.1%
• 85.5%
• 75.6%
• 24.8%

An aeroplane is weighed and the following recordings are made: Nose wheel assembly scale: 5330 kg Left main wheel assembly scale: 12370 kg Right main wheel assembly scale: 12480 kg For a given flight the mass of special operational equipment is 1780 kg. The mass of the crew is 545 kg. The Basic Empty Mass, as entered in the weight report, is..

• 30180 kg
• 32505 kg
• 28400 kg
• 31960 kg

Given the following aircraft weighing data, determine the CG position: Mass on nose gear: 435 kg Mass on right main gear: 2 385 kg Mass on left main gear: 2 415 kg Distance between nose and main gear: 583 cm

• 48 cm aft of main gear
• 530 cm aft of nose gear
• 1.06 m forward of main gear
• 48 cm forward of main gear

The mass and balance information gives the following information: Basic Empty Mass: 1 095 kg CG at BEM: 1.98 m (25% MAC) MAC: 2 m In the mass and balance section of the flight manual the following information is given : Pilot and front seat occupant: 80 kg each front seats arm: 2.5 m rear seats arm: 3.2 m rear hold arm: 2.7 m fuel tanks arm: 1.9 m Fuel tanks contain 139 litres of 100LL with a density of 0.72. The rear seats are not occupied. Taxi fuel is negligable. The position of the centre of gravity in percentage of Mean Aerodynamic Chord at take-off is:

• 28% MAC
• 31% MAC
• 30% MAC
• 73% MAC

The mass and balance information gives: Basic Empty Mass: 1 700 kg BEM CG: 4.00 m Under these conditions the Basic centre of gravity is at 27% of the Mean Aerodynamic Chord. The length of MAC is 2.00 m. In the mass and balance section of the flight manual, the following information is given: Position arm front seats: 2.7 m Position arm rear seats: 3.6 m Position arm rear hold: 4.9 m Position arm Fuel tanks: 3.2 m The pilot and one passenger embark; each weighs 85 kg. The fuel tanks contain 160 liters of 100LL with a density of 0.72. The rear seats are not occupied. Taxi fuel is negligible. What is the position of the centre of gravity in percentage of Mean Aerodynamic Chord at take-off?

• 19% MAC
• 25% MAC
• 36% MAC
• 45% MAC