Electric toothbrushes can be effective in removing dental plaque. one model consists of a head 1.1 cm in diameter that rotates back and forth through a 70 angle 7600 times per minute. what is the average angular speed in each direction of the rotating head?

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,

Let is the average angular speed in each direction of the rotating head. It is given by :

So, the average angular speed in each direction of the rotating head is 309.44 rad/s. Hence, this is the required solution.

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