A 1200 kg airplane is flying in a straight line at 80 m/s,
1.3km above the ground. What is the magnitude of its angular
momentumwith respect to a point on the ground directly under the
path ofthe plane?

Respuesta :

Answer:

L = 1.25 x 10⁸ kg.m²/s

Explanation:

given,

mass of airplane (m)= 1200 Kg

speed of the flight (v)= 80 m/s

distance (r)= 1.3 Km

              = 1300 m

angular momentum = ?

L = m v r

L =1200 x 80 x 1.3 x 1000

L = 124800000 kg.m²/s

L = 1.25 x 10⁸ kg.m²/s

hence,the magnitude of angular momentum with respect to a point on the ground is equal to L = 1.25 x 10⁸ kg.m²/s

The angular momentum when a 1200 kg airplane is flying in a straight line at 80 m/s,  1.3km above the ground =

Angular momentum: This is the product of mass or inertia and angular velocity. The s.i unit is kgm²/s. = 124800000 kgm²/s

From the question,

The Formula of angular momentum is

M' = mvr................... Equation 1

Where M' = angular momentum, m = mass of the airplane, v = linear velocity, r = radius.

Given: m = 1200 kg, v = 80 m/s, r = 1.3 km = 1300 m

Substitute these values into equation 1

M' = 1200(80)(1300)

M' = 124800000 kgm²/s

Hence the magnitude of the angular momentum is 124800000 kgm²/s

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