Application of Dimensional Analysis Young model of a steel is 19x 10 Nm find its value in cgs system
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Dyne and Newton, both are units of force. While Dyne is specified in C-G-S(Centimeter – Gram – Second) unit system, Newton is specified in modern SI unit system which gives the relationship Young’s Modulus between stress and strain. It is used to measure hardness of material.
Here stress is force applied per unit area, strain is deformation happened on object.
E=
ϵ
6
=
L
0
ΔL
A
F
=
AΔL
Fl
0
Where, σ= Stress in Pascal
ϵ= Strain or deformation
F= Force
A= Cross sectioned area
ΔL= Change in Length
L
o
= Actual Length
E= Young’s Modulus
Here E=1.9×10N/M
2
Let’s convert it into CGS unit system.
=1.9×10
11
Newtons/meter
2
=
10
4
cm
2
1.9×10
11
×10
5
=1.9×10
12
dyne/cm
2
E=1.9×10
12
dyne/cm
2
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