Answer:
[tex]\Delta \theta = 9.556\,rad[/tex]
Explanation:
The change in angular position can be found from this formula:
[tex]\omega^{2} = \omega_{o}^{2} +2\cdot \alpha \cdot \Delta \theta[/tex]
[tex]\Delta \theta = \frac{\omega^{2}-\omega_{o}^{2}}{2\cdot \alpha}[/tex]
[tex]\Delta \theta = \frac{(5.7\,\frac{rad}{s} )^{2}-(0\,\frac{rad}{s} )^{2}}{2\cdot (1.7\,\frac{rad}{s^{2}} )}[/tex]
[tex]\Delta \theta = 9.556\,rad[/tex]
