Answer:
[tex]\omega=309.44\ rad/s[/tex]
Explanation:
It is given that, one model consists of a head 1.1 cm in diameter that rotates back and forth through a 70 angle 7600 times per minute.
In one cycle, the head turns through 140 degrees i.e. 2.443 radian. In one minute, it turns through, [tex]\theta=7600\times 2.443=18566.8\ rad[/tex]
Let [tex]\omega[/tex] is the average angular speed in each direction of the rotating head. It is given by :
[tex]\omega=\dfrac{\theta}{t}[/tex]
[tex]\omega=\dfrac{18566.8\ rad}{60\ s}[/tex]
[tex]\omega=309.44\ rad/s[/tex]
So, the average angular speed in each direction of the rotating head is 309.44 rad/s. Hence, this is the required solution.
