Answer:angular speed=471.429rad/sec
Step-by-step explanation:
One revolution is :
2×pi×radians
Then 4500 revolution will be:
2×pi×4500rad= 9000pi rad
1minutes = 60seconds
So the angular speed is :
=(9000×pi rad) / minutes
=9000×(22/7)rad /60seconds
=471.42857143 rad/sec
=471.429rad/sec to 3 d.p
The angular speed of the blade is [tex]471[/tex] radian per minute.
In one revolution, angle made is [tex]2\pi[/tex] radian.
In 4500 revolutions = [tex]2\pi *4500=9000\pi[/tex] radian.
We know that ,
1 hour = 60 minute.
Angular speed = [tex]\frac{9000\pi radian}{60minute} =\frac{9000*3.14}{60}=471radian/minute[/tex]
Therefore, the angular speed of the blade is [tex]471[/tex] radian per minute.
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