Lab Experiment #$03$

Purpose:

This experiment is designed to develop confidence with output manipulation, floating point arithmetic and strings.

Readings:

The experiment focuses upon the material regording input$/$output and C$++$ mathematical expressions in our text.

Instructions:

Given a circular ring, for example a piece of garden hose made into a circle and joined at the ends, you can calculate the volume and surface area by using the formulos: $V=2{}^{2}R{r}^2$ and $S=4{}^{2}Rr$ where $R$ is the radius of the ring and $r$ is the radius of the cross section of the hose. Note illustration at right. Write a program to ask for those two radii and display the Volume and surface area.

For PI$,$ use:

const double $\frac{?}{PI}=3\mathrm{.}14159$;

This will go BEFORE main, but after using namespace std:

A typical run would be:

Enter radius $of$ ring and radius $of$ cross section

$25\mathrm{.}753$

For a ring with a radius $of25\mathrm{.}750$ and cross section radius $of$

$3\mathrm{.}000$

The volume $is$:

The surface area $13$:$,374\mathrm{.}554$

Write a program to calculate the torque and diameter of a shaft. In order for a shaft with an allowable shear strength of $S$ pounds per inch ${?}^2$ to transmit a torque of $T$ in pounds, it must have a diameter of at least $D=\sqrt[3]{\frac{1+f}{5}}$ inches. If Phorsepower is applied to the shaft at $Nrpm,$ the torque is computed by $T=63000\frac{N}{N}.$ Your program should ask the user to enter values for P$.$ N and $S$ and calculate and display the torque and diameter of a shaft capable of transmitting that torque. To get the cube root, use:

$D=$ pow $(\frac{16**T}{s},0\mathrm{.}333)$ :

In order to use pow, you will have to #include $PNS$