A disk rotates about its central axis starting form rest and accelerates with constant angular acceleration. At one instant it is rotating at 12 rad/s and after 80 radian of more angular displacement,

Question

A disk rotates about its central axis starting form rest and accelerates with constant angular acceleration. At one instant it is rotating at 12 rad/s and after 80 radian of more angular displacement, its angular speed becomes 28 rad/s. How much time (seconds) does the disk takes to complete the mentioned angular displacement of 80 radians?

Answer:

4.00

Solution:

$\frac{ω _{i} + ω _{f}}{2} t = 80 \Rightarrow \frac{12 + 28}{2} t = 80 \Rightarrow t = 4 s$

TestHub · Accepted Answer

2 ω i ​ + ω f ​ ​ t = 80 ⇒ 2 12 + 28 ​ t = 80 ⇒ t = 4 s

Physics - Rotation Question with Solution | TestHub

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