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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.

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

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