physics

A steel sphere of radius 6.5 mm is dropped into a lake. What is the terminal speed of the sphere?

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asked by Sarah
  1. More information. Terminal speed in the water?

  2. Yes, I think we are supposed to assume that it is in water.

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    posted by Sarah
  3. The problem here is the assumptions of friction of a small sphere The drag equation is

    force drag=densitywater*velocity^2*.47*area

    you can calculate area from radius.

    at terminal velocity, net force=dragforce

    mg-bouyantforce=drag force

    now the mass m of the steel ball can be calculated from density steel*volumesphere

    bouyant force=densitywater*volumeball*g

    do all that, and then you can calculate terminal velocity v of the ball in the water.

  4. Thanks for your help, but I think that it is wrong. I keep getting 1.13 m/s as the answer, so I don't know if I went wrong somewhere.

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    posted by Sarah

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