Determine the expression for torque required to overcome viscous resistance on cone as shown in figure.
µ = dynamic viscosity of viscous layer, R = Radius of cone, h = The space between the cone surface and the groove surface, ω = Angular velocity of rotation, 2θ = Angle of cone
1
\(\frac{{\pi \mu \omega {R^4}}}{{hsin\theta }}\)
2
\(\frac{{\pi \mu \omega {R^4}}}{{2hsin\theta }}\)
3
\(\frac{{\pi \mu \omega {R^4}}}{{4hsin\theta }}\)
4
\(\frac{{3\pi \mu \omega {R^4}}}{{4hsin\theta }}\)