The helicopter in the drawing is moving horizontally to the right at a constant velocity. The weight of the helicopter is W = 55600 N. The lift force 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?
1 . N
(b) Determine the magnitude of the air resistance that opposes the motion.
2 . N
To find the magnitude of the lift force (a) and the magnitude of the air resistance (b), we can use the given information and some basic principles of physics.
(a) Magnitude of Lift Force:
The lift force generated by the rotating blades of a helicopter balances the weight of the helicopter to keep it in the air. Since the weight of the helicopter is given as W = 55600 N, we can find the magnitude of the lift force by using trigonometry.
The lift force makes an angle of 21.0° with respect to the vertical. In this case, since the helicopter is moving horizontally to the right, we can consider the vertical component of the lift force to counteract the weight, while the horizontal component has no effect on the motion.
Using trigonometry, we can find the vertical component of the lift force as:
Lift force (vertical component) = weight = 55600 N
So, the magnitude of the lift force is 55600 N.
(b) Magnitude of Air Resistance:
Air resistance is the force opposing the motion of an object through the air. In this case, the air resistance acts in the opposite direction of the helicopter's motion, which is horizontally to the right.
Since the helicopter is moving at a constant velocity, we can assume that the air resistance is equal in magnitude to the force pushing the helicopter forward, which is the lift force.
Therefore, the magnitude of the air resistance is also 55600 N.