Answer:
0.26315 s
Step-by-step explanation:
The frequency of the ball tied to a string system is 3.8 rev/s.
That means in one second the ball will complete 3.8 revolutions.
The time period will be the reciprocal of this frequency

The time period is 0.26315 s
It can be also solved in the following way

The time period is 0.26315 s