Answer:
angular acceleration = 0.54 rad/s/s
Step-by-step explanation:
Initial angular speed of the wheel is ZERO as it starts from rest
final angular speed is given as
![\omega_f = 19 rad/s](https://img.qammunity.org/2020/formulas/physics/college/dpzv7b7idgdpk16ywswxciykund2nupo1k.png)
![\Delta t = 35 s](https://img.qammunity.org/2020/formulas/physics/college/bh5czpqjhh8j1rho2tnmb2rs775zytohjo.png)
now we know that angular acceleration is rate of change in angular speed
![\alpha = (\Delta \omega)/(\Delta t)](https://img.qammunity.org/2020/formulas/physics/college/k9am4ltt6fbudseirqqjfj5uv00mthulf8.png)
here we have
![\alpha = (19 - 0)/(35)](https://img.qammunity.org/2020/formulas/physics/college/o9t1lomjmql0301okjk7yueskulbo234q1.png)
![\alpha = 0.54 rad/s^2](https://img.qammunity.org/2020/formulas/physics/college/ehm8tquwy28xatyz4d575ta8znihecsup1.png)