Terminal Velocity of Cube: 1.6 m/s

AI Thread Summary
The discussion revolves around calculating the terminal velocity of a cube with a drag coefficient of 0.90, a side length of 1.0 cm, and a density of 1.6 x 10^3 kg/m^3 in air with a density of 1.2 kg/m^3. The correct terminal velocity is stated as 1.6 m/s, despite calculations yielding a different result of 17.04 m/s. Participants express confusion over the discrepancy, emphasizing that the provided answer may not always be accurate. The calculations involve using the formula for terminal speed, incorporating mass derived from the cube's volume and density. The conversation highlights the importance of verifying answers in physics problems.
Dalip Saini
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Homework Statement


cube has a drag coefficient of 0.90. What would the terminal velocity of this cube be, 1.0 cm on a side in air (ρ = 1.2 kg/m3)? Take the density of this cube to be 1.6 x 103 kg/m3.


  • A

    68 m/s


  • B

    1.6 m/s


  • C

    5.6 m/s


  • D

    20 m/s


  • E

    360 m/s
Correct answer is 1.6 m/s

Homework Equations


terminal speed = sqrt[(2mg)/(Cpa)]
volume*density = mass

The Attempt at a Solution


(0.01 m)^3(1.6E3 kg/m^3) = 1.6E-3 kg
terminal speed = sqrt [((2(1.6E-3)(9.8))/((0.9)(1.2)(0.01)^2)] = 17.04 m/s but the answer is 1.6 m/s. I don't understand what I did wrong.
 
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Lots of numbers to chase, but 1.6 m/s makes no sense.
 
Hint: the given answer isn't always right!
(I got same as yours).
 
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