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3B Scientific Device for Archimedes' Principle User Manual

3b scientific® physics, Operating instructions

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3B SCIENTIFIC® PHYSICS



1

Device for Archimedes' Principle U40875

Operating instructions

04/08 ALF


1 Handle

2 Bucket

3 Cylinder


1.

Description

The device for Archimedes' Principle is used to
demonstrate Archimedes' Principle of buoyancy in
liquids. It can also be used to determine the den-
sity of an unknown fluid.

It consists of a bucket with a handle and a hook, as
well as a precisely fitted solid cylinder with a ring.
There are division marks on both the cylinder and
the bucket which allow the user to perform ex-
periments with different volumes. Each division
mark represents one quarter of the total volume.


2. Basic principles

According to Archimedes' Principle, if an object is
immersed in a fluid, the force F

B

exerted on the

object by the fluid is equal to the weight of the
fluid F

W

displaced by the object, F

B

= F

W

.

Archimedes' Principle is valid in fluids as well as in
gases.

Since the volume of fluid V

F

displaced by the object

is just equal to the volume of the object V

K

the

mass of fluid m

F

displaced is the volume of the

object V

K

multiplied by the density of the fluid

ρ.

m

F

=

ρ V

K

(1)

The weight of the displaced fluid F

W

is this mass m

F

multiplied by the acceleration due to gravity g.

F

W

m

g

F

=

(2)

Therefore the buoyant force F

B

is given by the fol-

lowing formula

F

B

=

ρ g V

K

(3)

The density

ρ of an unknown fluid can therefore be

calculated by the formula:

V

F

B

=

ρ

(4)