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Buoyancy Calculator
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Buoyancy calculator calculates the upward force acting on the body when it is immersed in any liquid or it also helps to determine density or volume if any of the two parameters are given.

Buoyancy is upward acting force caused by fluid pressure that makes things afloat.

In short Buoyancy = weight of displaced fluid.

Apparent weight = True weight - Bouyant force

## Step by Step Calculation

Step 1 :

Formulas:

Buoyancy Force (B) = $\rho$Vg

Density of Fluid ($\rho$) = $\frac{B}{gV}$

Displaced Volume (V) = $\frac{B}{\rho g}$

Where

$\rho$ - density of fluid

V - displace volume

B - buoyancy force

g - gravity = 9.8 m/s2

Step 2 :

Put the values in the formula and calculate it further.

## Example Problems

1. ### An oil is dropped on the layer of water having density of 870 kg/m3, having the volume of 1 kg/m3, Calculate the Buoyancy force?

Step 1 :

Given:

$\rho$ = 870 kg/m3,

V = 1 kg/m3,

g = 9.8 m/s2

B = ?

Formulas:

Buoyancy Force (B) = $\rho$Vg

Step 2 :

Put the values in the formula and calculate it further.

Buoyancy Force = 870 * 1 * 9.8

Buoyancy Force = 8526 N

Buoyancy Force = 8526 N

2. ### The water having droplets are fallen on the layer of mercury having the Buoyancy force of 9000 N, given density of water $\rho$ = 1000 kg/m3. Calculte its Volume?

Step 1 :

Given:

$\rho$ = 1000 kg/m3

B = 9000 N

g = 9.8 m/s2

V = ?

Formula:

Displaced Volume (V) = $\frac{B}{\rho g}$

Step 2 :

Put the values in the formula and calculate it further.

Displaced Volume (V) = $\frac{9000}{1000*9.8}$

Displaced Volume (V) = 0.91 kg/m3