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A disk rotates with constant angular acceleration of 5. 45~\text{rad/s}^25. 45 rad/s 2. starting from rest, it turns through 220 rad. how much time elapses while it turns through the 220 radians?

Sagot :

The time elapsed is 8.98 sec when it turns through the 220 radians.

given:

  1. initial angular velocity (ω°)  = 0 rad/sec
  2. angular acceleration (α) =5.45 [tex]rad/sec^{2}[/tex]
  3. total angular displacement (Ф) = 220 rad

using second equation of motion for rotation

   we get ,

[tex]220=0.t + \frac{1}{2}.5.45.t^{2}[/tex]

t^2 =80.98

t=8.98sec

therefore time elapsed is 8.98sec .

learn more about equation of rotation here:

https://brainly.com/question/2063327

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