An airplane of mass 12,000 kg flies level to the ground at an altitude of 10.0 km with a constant speed of 175 m/s relative to the earth.
(a). What is the magnitude of the airplane's angular momentum (in kg-m2/s) relative to a ground observer directly below the plane?
(b). Does the angular momentum change as the airplane flies along its path?

Respuesta :

Answer:

Explanation:

mass of airplane, m = 12000 kg

altitude, h = 10 km = 10,000 m

velocity, v = 175 m/s

(a) Angular momentum

L = m x v x h x Sin 90

L = 12000 x 10,000 x 175

L = 2.1 x 10^10 kg m^2/s

(b) As there is no external torque, so the angular momentum remains constant.

The magnitude of the airplane's angular momentum (in kg-m2/s) relative to a ground observer directly below the plane will be L = 2.1 x 10^10 kg m^2/s

What is angular momentum?

In physics, angular momentum (rarely, moment of momentum or rotational momentum) is the rotational motion of linear momentum. It is an important quantity in physics because it is a conserved quantity

The total angular momentum of a closed system remains constant. Angular momentum has both a direction and a magnitude, and both are conserved.

It is given that

mass of airplane, m = 12000 kg

altitude, h = 10 km = 10,000 m

velocity, v = 175 m/s

(a) Angular momentum of an airoplane

L = m x v x h x Sin 90

L = 12000 x 10,000 x 175

L = 2.1 x 10^10 kg m^2/s

(b) As there is no external torque, so the angular momentum remains constant.

Hence the magnitude of the airplane's angular momentum (in kg-m2/s) relative to a ground observer directly below the plane will be L = 2.1 x 10^10 kg m^2/s

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