Working out force from distance object is displace (2D)

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In summary, the conversation is about a project involving wind tunnel measurements. The goal is to determine the forces on an object, specifically a wing, under the influence of a 2.5m/s air speed and knowing the mass of the object. The wing is suspended from the top of the wind tunnel with elastic and the speaker plans to take pictures of the wing's location before and after turning on the air flow. It is predicted that the two pictures will show opposite signs due to the wing's shape. The speaker is seeking advice on whether this method is possible and what equations can be used to calculate the forces on the wing shown in the diagram. The response is that static equilibrium can be applied, but the mass and center of gravity location
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fixty
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This is a followup for my project which has been on a previous forum post: https://www.physicsforums.com/threads/wind-tunnel-measurements.856773/

I'm now trying to work out the forces on the object when under the influence of a 2.5m/s air speed and also knowing the mass of the object. My wind tunnel has the object, wing in this case, hanging from the top with elastic. The next video shows the forces I predict the wing to have.



Using a square grid (graph paper) behind the object I will take a picture of the location of the wing then turn the air flow on and take a second picture (with the camera in the same place). I predict that V1 and V2 will be of opposite signs (- and +) because of its shape.

I'm wondering if firstly this is at all possible and secondly the equations I could use to work out the forces labeled in the diagram.
 
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Yes, you can apply static equilibrium to find the force of H.
You'll need to know the mass and COG location for the wing.
 

FAQ: Working out force from distance object is displace (2D)

How do you calculate the force from a distance object in 2D?

To calculate the force from a distance object in 2D, you can use the formula F = m x a, where F is the force, m is the mass of the object, and a is the acceleration. In 2D, you will need to consider both the horizontal and vertical components of the force separately and then use the Pythagorean theorem to find the resultant force.

What is the relationship between force and distance in 2D?

The relationship between force and distance in 2D is described by the equation F = k x d, where F is the force, k is the spring constant, and d is the displacement of the object. This equation is known as Hooke's Law and states that the force is directly proportional to the distance an object is displaced in a spring system.

How does the direction of the force affect the calculation in 2D?

In 2D, the direction of the force is crucial as it determines the components of the force in the horizontal and vertical directions. The direction of the force can be represented by a vector, and the magnitude and direction of this vector are used to calculate the force using trigonometric functions.

Can you use the same formula to calculate force from distance in both 1D and 2D systems?

No, the formula used to calculate force from distance in 1D systems is different from the one used in 2D. In 1D, the formula is simply F = m x a, while in 2D, it is more complex as it takes into account both the horizontal and vertical components of the force.

What are some real-world applications of calculating force from distance in 2D?

Calculating force from distance in 2D is essential in many real-world applications, such as determining the force needed to launch a projectile at a specific angle, calculating the force needed to lift an object at an incline, or determining the force required to compress or stretch a spring.

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