density done by: fan yiheng. how to find density p is the density m is the mass of the object v...
TRANSCRIPT
DensityDone by: Fan Yiheng
How to find density
P is the densityM is the mass of the objectV is the volume of the object
Basically you use the mass to be divided by the mass.
How the formula was createdIt was said that Archimedes was given a
task, to determine whether King Hiero’s goldsmith was using other metals other than gold to make a wreath dedicated to the gods
He knew that the irregularly shaped wreath could be crushed into a cube and its volume could be calculated easily and compared with the mass.
But, the King did not approve of it.
How the formula was createdArchimedes could not think f an idea, so he
took a bath and saw the rise of the water level upon entering the bath. He then thought that he could find the volume of the gold crown through the displacement of the water. Upon his discovery, he went running naked through the streets shouting, "Eureka! Eureka!" (Εύρηκα! Greek "I found it"). As a result, the term "eureka" entered common parlance and is used today to indicate a moment of enlightenment.
Ways of finding massIn the past, people used scales or
balances to find the mass.Now, we have advance and accurate
scales so we can find the mass
How to find volumeFor cubes We use the y as the length.
Since all 3 sides are of equal length, we cube root it. The volume will be x
For cuboids, we multiply the abc = x. abc is the length breath and height. X is still the volume
The volume of a cylinder is . V is the volume, r is the radius and h is the height
For finding the volume of a sphere, . V is the volume, r is the radius of the sphere
Other ways to find volumeDisplacement method: The object must be
relatively big. Use a displacement can and fill it to the spout. Then tie a string on the object you want to find its volume and drop it in. Then measure the volume of the water that came out of the spout.
Measuring method: The object must be relatively small. Fill a measuring cylinder with water and then drop the object in. Observe the level of water before and after you dropped the object
Units for densityThe SI unit for density is: kilograms per cubic
metre (kg/m³)Other unitskilograms per cubic decimeter (kg/dm³)grams per cubic centimeter (g/cc, gm/cc or g/cm³)mega grams per cubic meter (Mg/m³)
Liters and metric tons are not part of the SI, but are acceptable for use with it. Since 1 L = 1 dm³, we also have these of the same size:
kilograms per litre (kg/L)grams per millilitre (g/mL)metric tons per cubic metre (t/m³)
Conversion
The end