Maths for Diploma Studies

We start by setting up our equation and checking to make sure we have the conversion from PSI to Pascals in the correct orientation such that the units cancel out:

With Pascals in both the numerator and denominator, all we are left with is PSI. This looks correct and yields a pressure of:

Plugging in what we know:

Now we need to rearrange our equation to isolate °F. We first need to put the °F variables on the left side of the equation:

Next, to just have the F on one side, we address the fraction on the left side by multiplying both sides of the equation by its reciprocal, a technique we have used in the past:

We are left with:

We then move the -32°F to the right-hand side of the equation by adding it both sides:

We then calculate the value of the fraction in the brackets:

We can now make the 1,200 a fraction with 1 as the denominator, which allows us to cancel the °C units:

We then perform the multiplication to simplify the equation:

Leaving us the simple addition:

Finally, we can add the two values together:

Starting with what we were provided:

Now we make 500 cP a fraction with one as the denominator so we can cancel the cP units will cancel leaving just Poise (P):

So we have:

We were asked to provide this viscosity in terms of kg/m.s. Time for one more conversion:

So, we convert with confidence by once again verifying our units can cancel:

This leaves us with:

You can perform these conversions consecutively, which would look like:

As before, be certain to make sure the units of measure can cancel out, and you will be not go wrong.