### The figure shows the angular-velocity-versus-time graph for a particle moving in a circle.

### A) How many revolutions does the object make during the first 4.0 s?

**SOLUTION:**

**PART A**

**ANSWER: n=9.5**

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

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