# Archimedes - What is the best way to measure body fat...

This preview shows pages 1–5. Sign up to view the full content.

Examples of Archimedes Principle

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
The Golden Crown of Hiero II, King of Syracuse Archimedes, 287-212 B.C. Hiero, 306-215 B.C. Hiero learned of a rumor that the goldsmith replaced some of the gold in his crown with silver. Hiero asked Archimedes to determine whether the crown was pure gold. Archimedes had to develop a nondestructive testing method
The Golden Crown of Hiero II, King of Syracuse The weight of the crown and nugget are the same in air: W c = ρ c V c = W n = n V n . If the crown is pure gold, c = n which means that the volumes must be the same, V c =V n . In water, the buoyancy force is B= H2O V. If the scale becomes unbalanced, this implies that the V c V n , which in turn means that the c n Goldsmith was shown to be a fraud!

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Hydrostatic Body-fat Testing
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: What is the best way to measure body fat? Hydrostatic Body-fat Testing using Archimedes Principle! Process Measure body weight W= ρ body V Get in tank, expel all air, and measure apparent weight W a Buoyancy force B = W-W a = H2O V. This permits computation of body volume. Body density can be computed body =W/V. Body fat can be computed from formulas. Hydrostatic Body-fat Testing in Air? Same methodology as Hydrostatic testing in water. What are the ramifications of using air? Density of air is 1/1000th of water. Temperature dependence of air. Measurement of small volumes. Used by NCAA Wrestling....
View Full Document

{[ snackBarMessage ]}

### Page1 / 5

Archimedes - What is the best way to measure body fat...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online