Answer:
0.57 Hz
Explanation:
In physics, frequency measures how many oscillations occur in a unit of time, usually in hertz (Hz), cycle per second.
Frequency is also the inverse of period, which measures the duration to complete an oscillation.
[tex]T=\dfrac{1}{f}[/tex]
, where T is period.
[tex]\hrulefill[/tex]
We can calculate the pendulum's period and use the relationship between period and frequency to find our final answer!
To find the period of the pendulum a formula can be used
[tex]T=2\pi\sqrt{\dfrac{L}{g}[/tex],
where L is the length of the string (in meters) and g is the gravitational acceleration of the environment (in meters per second squared).
Plugging in the given value L and g,
[tex]T=2\pi\sqrt{\dfrac{0.775}{9.82} }=1.765123007[/tex].
So,
[tex]f=\dfrac{1}{T}=0.5665=0.57\:Hz[/tex].