Terminal Speed of 6.5 kg Ball: Calc Error?

AI Thread Summary
The discussion centers on calculating the terminal speed of a 6.5 kg spherical ball with a radius of 3.0 cm and a drag coefficient of 1.50. The formula used for terminal velocity is vt=sqrt((2Fg)/(CpA), but the user initially encounters errors in their calculations. Key issues identified include forgetting to convert the radius to meters and not incorporating the mass of the sphere in the force of gravity (Fg). Ultimately, the user resolves the issue, indicating that the expression lacked units of velocity. Accurate calculations are crucial for determining terminal speed effectively.
GingerBread27
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What is the terminal speed of a 6.5 kg spherical ball with a radius of 3.0 cm and a drag coefficient of 1.50? The density of the air through which the ball falls is 1.2 kg/m3.

I used vt=sqrt((2Fg)/(CpA)). Where Fg is force of gravity, C is drag coeff., p is air density , and A is cross sectional area. When I plug in the numbers I get the wrong answer. I used 1.5 as C, 1.2 as p, 9.8 as Fg, and (9*pi) as a (area of circle-pi*r^2). What am I doing wrong.
 
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I think you need to convert your radius to meters.
 
I forgot to convert lol but that doesn't help, answer is still wrong.
 
Never Mind Figured it Out :)
 
Your expression hasn't got units of velocity.

I think you have forgotten to include the sphere mass in Fg.
 
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