Using a Wind Tunnel to Determine Drag Coefficient: An Experimental Approach

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A user is attempting to determine the drag coefficient of a ping pong ball using a homemade wind tunnel for a science project. They plan to measure the angle change of the ball suspended in the wind tunnel and calculate the drag force using the equation for drag. To find the drag coefficient, they suggest dropping the ball from a height and measuring the time to hit the ground, but express concern about equating gravitational force with drag force. Recommendations include consulting known drag coefficient tables and a relevant lecture on classical mechanics. The discussion emphasizes the importance of accurately determining the drag coefficient for calculating wind velocity in the tunnel.
protossadv
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Homework Statement


I made a wind tunnel for a science project and i am trying to determine its windspeed.
I decided to suspend a pingpong ball on a string in the wind tunnel and measure the angle change.
But to do this i need to calculate the drag force and i cannot do this without knowing the drag coefficient of the ball.

Homework Equations


Drag force: 1/2*P*v2*A*Cd
x=vit + 1/2*at2

The Attempt at a Solution


One idea i have is to drop the same ball from a height and measure the time it takes to hit the ground.
I then use the equation x=vit + 1/2*at2 and solve for a.
Then, using 1/2*P*v2*A*Cd = ma, i solve for Cd, and use this drag coefficient to solve for wind velocity in the wind tunnel.
However, i think i can't simply put ma= drag force becuase this suggests that gravity equals drag force which would mean the ball was at terminal velocity.

How would you solve this?
 
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for some reason i can't see whatever video or link you posted
can u show me the url?
 
protossadv said:
for some reason i can't see whatever video or link you posted
can u show me the url?

It's on Utube. Title: Lec 12 | 8.01 Physics I: Classical Mechanics, Fall 1999



I embedded it in the message. It plays for me just clicking it in the message.

Perhaps you will have better luck at Youtube?
 
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The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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