The final angular velocity is 8.6 rad/s
Explanation:
We can solve this problem by using the equivalent of the suvat equations for a rotational motion. In particular, we can use the following equation:
[tex]\omega_f = \omega_i + \alpha t[/tex]
where:
[tex]\omega_f[/tex] is the final angular velocity
[tex]\omega_i[/tex] is the initial angular velocity
[tex]\alpha[/tex] is the angular acceleration
t is the time
For the propeller in this problem, we have the following:
[tex]\omega_i = 3.8 rad/s[/tex]
[tex]\alpha = 1.6 rad/s^2[/tex]
And substituting t = 3.0 s, we find its final angular velocity:
[tex]\omega_f = 3.8 + (1.6)(3.0)=8.6 rad/s[/tex]
Learn more about rotational motions:
brainly.com/question/9575487
brainly.com/question/9329700
brainly.com/question/2506028
#LearnwithBrainly
