Terminal Velocity of Cube: 1.6 m/s

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SUMMARY

The terminal velocity of a cube measuring 1.0 cm on each side, with a drag coefficient of 0.90 and a density of 1.6 x 103 kg/m3, is definitively calculated to be 1.6 m/s in air with a density of 1.2 kg/m3. The formula used to determine terminal speed is terminal speed = sqrt[(2mg)/(Cpa)], where the mass is derived from the cube's volume and density. Despite initial calculations yielding 17.04 m/s, the correct answer is confirmed as 1.6 m/s, emphasizing the importance of accurate input values in physics equations.

PREREQUISITES
  • Understanding of terminal velocity and drag coefficients
  • Familiarity with basic physics equations involving mass and volume
  • Knowledge of fluid dynamics principles
  • Ability to perform calculations involving square roots and basic algebra
NEXT STEPS
  • Study the derivation of the terminal velocity formula in fluid dynamics
  • Learn about the impact of drag coefficients on different shapes
  • Explore the relationship between mass, volume, and density in physics
  • Investigate common mistakes in physics calculations and how to avoid them
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Students studying physics, educators teaching fluid dynamics, and anyone interested in understanding the principles of terminal velocity and drag forces.

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.
 
Physics news on Phys.org
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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