Instructions: refer to the syllabus for instructions on submitting programming assignments. Due $1$ hour prior to the next lab session.

PROBLEM $1$

Develop a well$-$documented function called convertTorque that can convert a torque from one set of units to another. For example, the function should be able to convert $100ft-lb$ to $135\mathrm{.}58N-m.$ Your function should be saved in a file called convertTorque.m$.$ "Well$-$documented" means that your code should have numerous comments explaining how the code works.

Program Requirements

Your function should have five input arguments, in this order: the value of the torque $($a number$),$ the current unit of force $($a string$),$ the current unit of length $($a string$),$ the desired unit of force $($a string$),$ and the desired unit of length $($a string$).$ For example, when converting $100lb-ft$ to $N-m,$ the input arguments to your function would be:

convertTorque $(100,"$lb$","$ft$","$N$","$m$")$

The function should return two values in this order: a number indicating success $(1)$ or failure $(0)$ and the value of the converted torque. For example, when converting $100lb-$ft to $N-m,$ the function should return the following two values: $1$ and $135\mathrm{.}58.$ Conversely, if the function is provided with invalid input, such as an invalid unit of measure, the function should return $0$ and $0.$ For example, when converting $100lb-ft$ to $ft-ft,$ the function should return the following two values: $0$ and $0.$

The function should be able to handle four units of length: $ft,$ in$,mm,$ and $m.$ It should also be able to handle four units of force: $N,lb,oz,$ and $kN.$ You should perform the conversion using conditional statements. You may find it convenient to use switch statements.

The function should properly handle invalid input by returning a success value of $0.$