Terminal Speed of 6.5 kg Ball: Calc Error?

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Homework Help Overview

The discussion revolves around calculating the terminal speed of a 6.5 kg spherical ball, considering its radius, drag coefficient, and the density of air. Participants are examining the application of the formula for terminal velocity and addressing potential calculation errors.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the formula used for terminal velocity and question the correctness of the inputs, particularly the conversion of units and the inclusion of mass in the gravitational force calculation.

Discussion Status

The discussion includes attempts to clarify the formula and inputs used, with some participants offering suggestions for unit conversion and highlighting potential oversights in the calculations. There is an indication that one participant believes they have resolved their issue, though the specifics remain unclear.

Contextual Notes

There is a noted oversight regarding unit conversion from centimeters to meters, as well as a discussion on the necessity of including the mass of the sphere in the force of gravity calculation. The original poster expresses confusion over the calculations despite addressing the unit issue.

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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