Respuesta :
Answer:
Explanation:
from equation of motion
[tex]s = ut + \frac{1}{2}at^2[/tex]
[tex]2.4*2\pi = u*2+\frac{1}{2}*2*4[/tex]
u = 5.53 rad/sec
we know that from equation of motion , angular velocity is obtained as
v =u +at
v =5.53 + 2*2
v = 9.536 rad/sec
This question involves the concepts of the equations of motion and angular motion.
The angular velocity at the end of the time interval will be "4 rad/s".
Final Angular Velocity
The final angular velocity can be found using the first equation of motion for angular motion, as follows:
[tex]\omega_f=\omega_i + \alpha t[/tex]
where,
- [tex]\omega_f[/tex] = final angular velocity = ?
- [tex]\omega_i[/tex] = initial angular velocity = 0 rad/s
- [tex]\alpha[/tex] = angular acceleration = 2 rad/s²
- t = time interval = 2 s
Therefore,
[tex]\omega_f=0\ rad/s+(2\ rad/s^2)(2\ s)\\\omega_f=4\ rad/s[/tex]
Learn more about the equations of motion here:
https://brainly.com/question/5955789