The helicopter in the drawing is moving horizontally to the right at a constant velocity. the weight of the helicopter is w=52400 n. the lift force l generated by the rotating blade makes an angle of 21.0° with respect to the vertical. (a) what is the magnitude of the lift force? (b) determine the magnitude of the air resistance r that opposes the motion.

We have that for the Question  it can be said that the magnitude of the lift force and magnitude of the air resistance R

From the question we are told

The helicopter in the drawing is moving horizontally to the right at a constant velocity. The weight of the helicopter is W=52400 N. The lift force L generated by the rotating blade makes an angle of 21.0° with respect to the vertical. (a) What is the magnitude of the lift force? (b) Determine the magnitude of the air resistance R that opposes the motion.

a)

Generally the equation for the lift force  is mathematically given as

F=56128N

b)

Generally the equation for the magnitude of air resistance  is mathematically given as

R=20114N

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Explanation:

It is given that,

The weight of the helicopter, W = 52400 N

The lift force L generated by the rotating blade makes an angle of 21.0° with respect to the vertical. The attached figure shows the free body diagram of the helicopter.

(a) Let L is the magnitude of the lift force.

The net force acting in the vertical direction,

L = 56127.99 N

(b) The net force acting in the x direction is :

Hence, this is the required solution.

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