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Hint: The angular speed of a wheel is directly proportional to the frequency or the numbers of revolutions per minute/second.
Formula Used: Angular speed $\omega {\text{ = 2}} \times \pi \times \eta $ rad/sec.
Where $\eta $ is the frequency of the wheel.
Complete step-by-step answer:
Fly wheel makes$120$ revolutions per minute which is the frequency of the wheel ($\eta $).
So revolutions made by wheel per second ($\eta $)= $\dfrac{{120}}{{60}}$ =$2$
Now, the angular speed of the wheel is radian per second.
$\omega {\text{ = 2}} \times \pi \times \eta $
$\omega {\text{ = 2}} \times \pi \times 2$
$\omega {\text{ = 4}}\pi $
The angular speed of the wheel is $4\pi $ rad/sec.
Note: In circular or rotational motion, the time rate with which angular displacement took place of an object is known as the angular speed.
Formula Used: Angular speed $\omega {\text{ = 2}} \times \pi \times \eta $ rad/sec.
Where $\eta $ is the frequency of the wheel.
Complete step-by-step answer:
Fly wheel makes$120$ revolutions per minute which is the frequency of the wheel ($\eta $).
So revolutions made by wheel per second ($\eta $)= $\dfrac{{120}}{{60}}$ =$2$
Now, the angular speed of the wheel is radian per second.
$\omega {\text{ = 2}} \times \pi \times \eta $
$\omega {\text{ = 2}} \times \pi \times 2$
$\omega {\text{ = 4}}\pi $
The angular speed of the wheel is $4\pi $ rad/sec.
Note: In circular or rotational motion, the time rate with which angular displacement took place of an object is known as the angular speed.
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