A $120$ central partial bearing, $4$ in $.$ in diameter and $5$ in $.$ long, carries $90$ psi of projected journal area. The $\frac{r}{c}$ ratio is $1000$;$h_o$ is equal to $0\mathrm{.}001$ in $.$ SAE $20$ oil in Fig. $8-2$ is used Room temperature is $100F.Rpm=600.$ Assume the rate of cooling is $2\mathrm{.}5Bt\frac{u}{h}\frac{r}{f}{t}^{2}FF,$ Assume housing temperature rises one$-$half as much as oil film. Find the oil film temperature and the required area of housing.

Ans. $t=168F$;$A_c=2\mathrm{.}44ft.{?}^2$