## Solution:

### Part A

The total number of radians made by the object is the area under the graph. Based on the given graph, the total number of radians is

$\displaystyle \theta _{rad}=60\:radians$

Convert this to revolutions, knowing that 2π radians is equal to 1 revolution.

$\displaystyle revolutions=60\:rad\times \frac{1\:rev}{2\pi }=\frac{60}{2\pi }rev=9.5\:rev$