Drag coefficient of an object in freefall in air

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Discussion Overview

The discussion centers around determining the drag coefficient (Cd) of a badminton shuttlecock in freefall, particularly in the context of a low-budget experimental project measuring terminal velocity. Participants explore methods for calculating Cd based on the forces acting on the shuttlecock during its descent.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant describes a project involving the terminal velocity of a badminton shuttlecock and expresses uncertainty about calculating the drag coefficient due to budget constraints.
  • Another participant requests additional details on the formulas or work involved in the calculations.
  • A participant suggests that dropping the shuttlecock from a sufficient height would allow it to reach terminal velocity, where the drag force equals the weight of the shuttlecock.
  • Another participant proposes a method similar to wind tunnel testing, recommending the use of a force measuring device to obtain the drag force, which would then allow for the calculation of Cd given known temperature and speed.
  • A participant expresses gratitude for the suggestion provided.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on a specific method for calculating the drag coefficient, and multiple approaches are discussed without resolution.

Contextual Notes

The discussion does not clarify the assumptions needed for the calculations, such as the conditions under which the shuttlecock is dropped or the accuracy of the measuring devices suggested.

Who May Find This Useful

This discussion may be useful for students or hobbyists interested in experimental physics, particularly those exploring concepts of drag, terminal velocity, and low-budget experimental setups.

owen.b3zz3r
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We are doing a project on the terminal velocity of a badminton shuttlecock and also have to find the drag coefficientof it. The problem that i have is that we are doing this very low budget I.E. throwing the shuttlecock from a window and filming it, now if i am correct to find the Cd we need to know the drag and to find the drag we need to know the Cd can anyone help me find out how to work out either from the method that we used if it is possible at all. thank you Owen Berry
 
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Can you show some work/formulas?
 
If you drop the shuttlecock from high enough then it will come very close to terminal velocity. At that point the drag force equals weight.
 
You do it the same way this is done in any wind tunnel. You figure out a way to measure the drag force on the model while it is in the moving air. That way you now only have one unknown, the Cd. Perhaps if you put it at the end of a fish scale or other force measuring hand held device, you can get some crude numbers for the drag force. You would then know the temperature, the speed and the force. From there on out it's simple calculations.
 
thanks for that fred
 

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