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The three small spheres are welded to the light rigid frame which is rotating in a horizontal plane about a vertical axis through O with an angular velocity w= 20 rad/s. If a couple MO= 30 N.m is applied to the frame for 5 seconds, compute the new angular velocity.

Respuesta :

Answer:

The new angular velocity will be "80.73 rad/sec".

Explanation:

The given values are:

Angular velocity, W = 20 rad/s

M = 30 N

Time, t = 5 seconds

As we know,

[tex]Wf=Wi+\frac{Mt}{I}[/tex]

On putting the values in the above formula, we get

[tex]Wf=20+\frac{30\times 5}{m1L1^2+m2L2^2+m3L3^2}[/tex]

[tex]Wf=20+\frac{150}{m1L1^2+m2L2^2+m3L3^2}[/tex]

[tex]Wf=80.73 \ rad/sec[/tex]

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