An insect trapped in a circular groove of radius 12 cm moves along the groove steadily and completes 7 revolutions in 100 s. (i) What is the angular speed and the linear speed of the motion ? (ii) Is the acceleration vector a constant vector ? What is its magnitude ?

Explanation

To solve the problem step by step, we will break it down into parts as per the question.

### Given Data:
- Radius of the circular groove, \( r = 12 \, \text{cm} = 0.12 \, \text{m} \)
- Number of revolutions, \( n = 7 \)
- Time taken, \( T = 100 \, \text{s} \)

### Part (i): Finding Angular Speed and Linear Speed
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