The angle turned is obtained as 3.77 rads.
<h3>What is the angle of rotation?</h3>
We have the following information about the disk;
velocity 1= 7200 RPM
velocity 2 = 0 RPM
time taken = 0.01 seconds
We must convert from RPM to rad/s using the relation;
2π·7200/60 = 754 rad/s
Using;
θ = ωavt
θ = (754 rad/s + 0 rad/s)/2 * 0.01 seconds
θ = 3.77 rads
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Using the together rate, it is found that they would have finished the task in 8 days working together.
<h3>What is the together rate?</h3>
It is the sum of each separate rate.
In this problem, the rates are given as follows:
- Greg works four times as slower as Reid, that is, one security audit takes 40 days, hence his rate is of 1/40.
Then, the together rate is given by:


5x = 40
x = 8
They would have finished the task in 8 days working together.
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The volume of the rectangular pyramid is 28 cubic feet.
<h3>
How to find the volume of the pyramid?</h3>
The volume of a pyramid of base B and height H is given by:

Here we know that the height is H = 7ft, and the base is a rectangle of 4ft by 3ft, so the area of the base is:

Then the volume of the pyramid is:

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