Chapter 1, Problem 43P

In a pressure-fed journal bearing, forced cooling is provided by a pressurized lubricant flowing along the axial direction of the shaft (the x -direction) as shown in fig. P1.43. The lubricant

Pressure satisfies the linear equation

$p\left(x\right)=\frac{p_s}{l}x+p_s$ where $P_s$ is the supply pressure and us the length of the hearing.

(a) Using the data given in the table (Fig. P1.43). find the equation of the line for the lubricant pressure $p\left(x\right)$, and determine the values of the supply pressure $P_s$ and the hearing length l. (b) Calculate the lubricant pressure $p\left(x\right)$ if. is 1.0 in.

(c) Sketch the graph of the lubricant pressure $p\left(x\right)$, and clearly indicate both the supply pressure $P_s$ and the bearing length l on the graph.