degrees (°). To calculate the angle of twist in this case:
Obtain the polar moment of inertia. For a solid circular bar:
J = (π/32)D⁴ = (π/32)(0.100 m)⁴ = 0.000009817 m⁴.
Use the angle of twist formula:
ϕ = TL/JG
ϕ = (10000 N·m × 3 m)/(0.000009817 m⁴ × 80×10⁹ Pa)
ϕ = 0.0382 rad = 2.19°
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