Chapter 54, Problem 1A

A pipe has an inside circumference of 82.50 mm and an outside diameter of 28.04 mm. What is the wall thickness of the pipe in millimeters? If necessary, round the answer to 2 decimal places.

To determine

The wall thickness of the pipe in mm.

Answer to Problem 1A

The wall thickness of the pipe is

Explanation of Solution

Given information:

The inside circumference of the pipe = 82.50 mm

Outside diameter of the pipe D = 28.04 mm

Calculation:

The inside circumference of the pipe is given. With the help of inside circumference, the inside radius of the pipe can be calculated.

Inside circumference $2\times \pi \times r=82.50\text{mm}$

The inside radius =

  $\begin{array}{l}r=\frac{82.50\text{mm}}{2\times \pi }\\ r=13.13\text{mm}\end{array}$

The outside radius of the pipe =

  $\begin{array}{l}R=\frac{D}{2}\\ R=\frac{28.04}{2}\\ R=14.02\text{mm}\end{array}$

Now, the wall thickness of the pipe =

  $\begin{array}{l}{t}_w=R-r\\ t_w=14.02-13.13\\ t_w=0.89\text{mm}\end{array}$

Thus, the wall thickness of the pipe is $t_w=0.89\text{mm}$.