Density: It is defined as the ratio of mass per unit volume of the substance. It is denoted by the symbol ρ can be pronounced as rho. Mathematically it can be written as
Find the density of the substance whose mass is measured to be 5kg and a volume of 3.91 m3.
Solution: We know that density is the ratio of mass and volume. Therefore,density(ρ) =mass(5kg)/volume(3.91m3).
= 5/3.91(kg/m3)
= 1.28(kg/m3) = Density of air.
The density of the fluid is found to be 1.28(kg/m3)
Python Program:
Output:
ρ = (m/v)
Where,
ρ - Density of the substance.
m - Mass of the substance.
V - Volume of the substance.
Units:
We will derive the units in S.I. system.
In SI system mass is in Kg.
In SI system Volume(v) is in m3.
Therefore,
Density(ρ) = mass(kg)/Volume(m3)
Units of ρ are kg/m3.
Note:
Units:
We will derive the units in S.I. system.
In SI system mass is in Kg.
In SI system Volume(v) is in m3.
Therefore,
Density(ρ) = mass(kg)/Volume(m3)
Units of ρ are kg/m3.
Note:
- Density is also called as mass density or volume mass density.
- Density of pure water is 1000kg/m3.
- Density of air is 1.28 kg/m3.
- Density of mercury is 13600kg/m3.
Video:
Example Problem:
Example Problem:
Find the density of the substance whose mass is measured to be 5kg and a volume of 3.91 m3.
Solution: We know that density is the ratio of mass and volume. Therefore,density(ρ) =mass(5kg)/volume(3.91m3).
= 5/3.91(kg/m3)
= 1.28(kg/m3) = Density of air.
The density of the fluid is found to be 1.28(kg/m3)
Python Program:
#!/usr/bin/python
# -*- coding: utf-8 -*-
def density(mass,volume):
density = float(mass)/float(volume)
print u"Density(ρ) of the substance is found to be {}".format(density)
mass = raw_input("Enter the value of mass > ")
volume = raw_input("Enter the value of volume > ")
density(mass,volume)
Enter the value of mass > 46546
Enter the value of volume > 6546
Density(ρ) of the substance is found to be 7.11060189429
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