Correct Answer - Option 4 : (shaft diameter)
4
Explanation:
We know that Torsion equation is:
\(\frac{{{\tau _{max}}}}{R} = \frac{{G\theta }}{L} = \frac{T}{J}\)
where θ is the angle of twist, T = torque applied, L = length of the shaft, J = polar moment of inertia, d = diameter of the shaft
\(J = \frac{{\pi {d^4}}}{{32}}\)
From torsion equation
\(\theta = \frac{{TL}}{{GJ}}\)
Putting the value of ‘J’ in the above equation
\(\theta = \frac{{TL}}{G} \times \frac{{32}}{{\pi {d^4}}}\)
\(\theta \propto \frac{1}{{{d^4}}}\;\;\;\;\;\;\;\left\{ {\because T,L\;and\;G\;are\;constant} \right\}\)
