Answer:
The angle which the wheel rotates through in 2 seconds is [tex]\theta =11 \ radians[/tex]
Explanation:
From the question we are told that
The constant angular acceleration of the wheel is [tex]\alpha = 4.5 rad/s^2[/tex]
The initial angular velocity of the wheel is [tex]w_1 = 1.0 \ rad/s[/tex]
The time duration considered is [tex]t = 2.0 \ s[/tex]
Generally from kinematic equation we have that
[tex]\theta = w_1 t +\frac{1}{2} \alpha t^2[/tex]
=> [tex]\theta = 1.0 * 2 +\frac{1}{2} * 4.5 * 2^2[/tex]
=> [tex]\theta =11 \ radians[/tex]
