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Question 12 345678 11 12 13 Assignment Submission Description Chapters 9 and 10. Momentum and the start of rotation For this assgrmert, you ent a by question parts. The number of submissions nemaining for each question part only changes you submit or change the answer Assignment Scoring Your last submission is used for your score 0. -2 points SerPSES 10 P.005 W y Notes Ask Your A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of 11.4 rad/s in 2.96 s (a) Find the magnitude of the angular acceleration of the wheel rad/s2 (b) Find the angle in radians through which it rotates in this time interval. rad Need Help? ǐ.linen.I Lentru Submit Answer Save ProgressPractice A Another Version << View Previous Question Question 10 of 13 View Next Question>> Home My Assignments Extension Request

Answer 1

Initial angular speed of the wheel, $\small \omega$ ₀ = 0 rad / sec (since wheel starts from rest)

Final angular speed of the wheel, $\small \omega$ = 11.4 rad / sec

Let $\small \alpha$ is the angular acceleration of the wheel

Using Newton's angular motion equation:

$\small \omega$ = $\small \omega$ ₀ + $\small \alpha$ t

here, t is the time in sec., t = 2.96 sec.

$\small \Rightarrow$ 11.4 = 0 +   $\small \alpha$ * 2.96  

$\small \Rightarrow \alpha$ = 11.4 / 2.96

   $\small \alpha$ = 3.85 rad. / sec.²

b)

Using Newton's angular motion equation:

   $\small \theta = \omega$ ₀ t + 1/2 * $\small \alpha$ t²

here $\small \theta$ is angle of rotation

$\small \Rightarrow \theta =$ 0 * 2.96 +( 1/2)* 3.85 * 2.96²

$\small \theta =$ 16.87 rad