Question

1. In the space below,

a. state Archimedes’ Principle

b. define density

c. Mathematically, derive an equation based on this laboratory
that uses Archimedes principle to measure the density of an object
in terms of measurable quantities. Make sure the density of the
object is NOT in terms of the unknown volume of the object in
question. You can assume you know the density of water.

d. Be sure to draw a free-body diagram of the mass attached to
the string

** Note the tension of the string while one object is
submerged measures what we call the buoyant mass, mb, times
gravity, T = mbg. Not submerged, T = mog, where mo is the mass of
the object.

2. Derive an equation for determining the density of a
floating/wooden object using Archimedes’ Principal. No free-body
diagram is needed.

3. Finally, derive an equation using Archimedes’ Principal
showing how the density of a liquid can be measured. Your
expression should be in terms of the density of water, object’s
mass in water, the object’s mass in NaCl solution, and the object’s
mass in air (i.e. in terms of the quantities in Table 1). No
free-body diagram is needed.

Answer #1

a

Archimedes' principle states that the upward buoyant force that
is exerted on a body immersed in a fluid, whether fully or
partially submerged, is equal to the weight of the fluid that the
body displaces and acts in the upward **direction** at
the center of mass of the displaced fluid.

b

**Density** is **defined** as the
ratio between mass and volume or mass per unit volume. It is a
measure of how much stuff an object has in a unit volume (cubic
meter or cubic centimeter).

c

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 11 minutes ago

asked 33 minutes ago

asked 40 minutes ago

asked 46 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago