The frictional torque transmitted in a truncated conical pivot bearing, considering uniform wear, is

A $$\frac{1}{2}\mu {\text{Wcosec}}\alpha \left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)$$
B $$\frac{2}{3}\mu {\text{Wcosec}}\alpha \left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)$$
C $$\frac{1}{2}\mu {\text{Wcosec}}\alpha \left( {\frac{{{\text{r}}_1^3 - {\text{r}}_2^3}}{{{\text{r}}_1^2 - {\text{r}}_2^2}}} \right)$$
D $$\frac{2}{3}\mu {\text{Wcosec}}\alpha \left( {\frac{{{\text{r}}_1^3 - {\text{r}}_2^3}}{{{\text{r}}_1^2 - {\text{r}}_2^2}}} \right)$$

Correct Answer: $$\frac{1}{2}\mu {\text{Wcosec}}\alpha \left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)$$

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