(Solved):   A counter shaft of diameter "d" supports a gear \( \mathrm{G}_{2} \). This gear has a diam ...

 

A counter shaft of diameter "d" supports a gear \( \mathrm{G}_{2} \). This gear has a diameter [D2] \( \mathrm{mm} \), and is driven by a pinion \( \mathrm{G}_{1} \) where, the pinion runs at a speed of \( \left[\mathrm{N}_{1}\right] \) r.p.m. If the reduction speed ratio \( N_{2} / N_{1}=\left[i_{2}\right] \), and the power transmitted is [P] HP. The mechanical efficiency is \( 100 \% \), and the allowable shear stress for the material of the shaft is \( \left[\tau_{\text {all }}\right] \quad \) MPa. Then, the diameter of the shaft " \( \mathrm{d} \) " is a. \( 16.2 \mathrm{~mm} \) b. \( \quad 17.8 \mathrm{~mm} \) c. \( 18.3 \mathrm{~mm} \) d. \( 13.8 \mathrm{~mm} \)