Rigidity modulus of wire
We need to find the rigidity modulus of wire if angular twist is 0.038 radian
Solution:
Length of the wire = l = 2 m
Angular twist = θ = 0.038 radians
Torque magnitude = T = 0.0395 Nm
Rigidity modulus = G
Torsion constant =
J=21πr4
It depends on the radius of the radius of the wire
Here,
r=2mm=2×10−3m
Plug this r in the equation of J
J=21πr4=21π(2×10−3)4=2.52×10−11m4
We know the formula for Rigidity modulus
G=θJTl=0.038×2.52×10−110.0395×2
G=8.2×1010m2N Answer:
Rigidity modulus =
G=8.2×1010m2N
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