Answer:
[tex]1.16\:\mathrm{rad/s}[/tex]
Step-by-step explanation:
Angular speed is given by [tex]\omega=\frac{\Delta \theta}{\Delta t}[/tex], where [tex]\Delta \theta[/tex] is angle change in radians and [tex]\Delta t[/tex] is elapsed time.
Since the baseball makes one fourth (one quarter) of a rotation in 1.35 seconds, it will take the baseball [tex]4\cdot 1.35=5.4[/tex] seconds to complete on rotation.
One rotation is 360 degrees or [tex]2\pi[/tex] radians. Therefore, the angular speed of the baseball is:
[tex]\omega =\frac{2\pi}{5.4}=1.16355283466\approx \boxed{1.16\:\mathrm{rad/s}}[/tex]
