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    Working with force of bouyancy

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    Technical Physics

    How do you find the bouyancy force of a spherical balloon given radius and 1atm pressure.

    © BrainMass Inc. brainmass.com December 24, 2021, 5:19 pm ad1c9bdddf
    https://brainmass.com/physics/temperature/working-force-buoyancy-41324

    SOLUTION This solution is FREE courtesy of BrainMass!

    The volume of the spherical balloon , V in cubic meters, is V = (4/3) pi* r^3

    where r is the radius of the balloon in meters.

    Now,

    Bouyancy force is given by; B = Density of air x volume of balloon x gravity

    That is, B = density of air * V * 9.8

    gravity = 9.8 m/sec^2

    But we are given the pressure.

    We know that, density = P/(R*T)

    where , P is the pressure, R is the gas constant and is equal to 8.2 x 10^-2 L atm/mole
    and T is the temperature (If the temperature is not given, we can take it to be the room temperature of 298K)

    Hence, Buoyant force, B = 9.8*PV/(RT) ... Answer

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 5:19 pm ad1c9bdddf>
    https://brainmass.com/physics/temperature/working-force-buoyancy-41324

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