Calculating Forces and Angles in a Model Plane System

In summary, to calculate the total force in a model plane system, you need to identify all the individual forces and use vector addition to find the resultant force. Weight is the force of gravity acting downwards, while lift is the upward force generated by the wings. The angle of attack can be calculated by measuring the angle between the chord line of the wing and the relative wind. Changing the thrust affects the speed and acceleration of the plane. The drag force, which opposes the motion of the plane, can be calculated using the drag equation.
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Ch3m_
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Homework Statement


A motorised model plane is attached to a light string anchored to a ceiling. The plane follows a circular path of radius 0∙35 m as shown in Figure 2.
upload_2016-1-18_15-48-44.png

The plane has a mass of 0∙20 kg and moves with a constant angular velocity of 6∙0 rad s−1 .

(a) Calculate the central force acting on the plane.
(b) Calculate the angle θ of the string to the vertical.

2. Homework Equations
Fc = mrω2

The Attempt at a Solution


a)Fc = mrω2
0.2 x 0.35 x 6.02
= 2.52N

b) tanθ = Fc/Fw
tanθ = 2.52/(0.2x9.8)
θ = tan-1(2.52/0.2x9.8)
θ = 52°
 

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Looks good.
 
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Thanks! :)
 

1. How do you calculate the total force in a model plane system?

To calculate the total force in a model plane system, you need to first identify all the individual forces acting on the plane, including thrust, lift, weight, and drag. Then, use vector addition to find the resultant force. This can be done by adding the horizontal and vertical components of each force together. The magnitude and direction of the resultant force will be the total force acting on the plane.

2. What is the difference between weight and lift in a model plane system?

Weight is the force of gravity acting on the plane, pulling it towards the ground. It is a constant force and always acts downwards. Lift, on the other hand, is the force generated by the wings of the plane as it moves through the air. It is an upward force that counters the weight of the plane and keeps it in the air.

3. How do you calculate the angle of attack in a model plane system?

The angle of attack is the angle between the chord line of the wing and the relative wind. To calculate it, you need to first find the direction of the relative wind, which is the opposite direction of the plane's motion. Then, measure the angle between the chord line of the wing and the relative wind using a protractor. This angle will be the angle of attack.

4. What is the impact of changing the thrust on a model plane's flight?

Changing the thrust on a model plane will directly affect its speed and acceleration. Increasing the thrust will result in a higher speed and faster acceleration, while decreasing the thrust will have the opposite effect. This is because thrust is a forward force that propels the plane through the air.

5. How do you calculate the drag force in a model plane system?

The drag force is the force that opposes the motion of the plane through the air. It is caused by air resistance and is affected by factors such as the shape and size of the plane, its speed, and the properties of the air. To calculate the drag force, you can use the drag equation, which takes into account these factors and allows you to determine the magnitude of the drag force acting on the plane.

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