Given,
The radius of the circle: 98 m
Number of revolutions: 7
Total time taken: 21.5 seconds
To find,
The yo-yo's period
Solution,
To find the period, we divide the total time taken by the number of revolutions.
According to the principles of rotational motion, we get the following expression :
Period = Total time taken / Number of revolutions
(Here, all physical quantities are SI units, so no unit conversion is required.)
Period = 21.5 seconds / 7 revolutions
Period ≈ 3.07 seconds
Therefore, the yo-yo's period is approximately 3.07 seconds.