Answer:
0.26315 s
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
[tex]T=\dfrac{1}{f}\\\Rightarrow T=\dfrac{1}{3.8}\\\Rightarrow T=0.26315\ s[/tex]
The time period is 0.26315 s
It can be also solved in the following way
[tex]1\ s=3.8\ rev\\\Rightarrow 1\ rev=\dfrac{1}{3.8}\ s\\\Rightarrow 1\ rev=0.26315\ s[/tex]
The time period is 0.26315 s