Period = 6 seconds and [tex]frequency = 0.167Hz[/tex] .
Explanation:
We have , the motion of a swing that requires 6 seconds to complete one cycle. Period is the amount of time needed to complete one oscillation . And in question it's given that 6 seconds is needed to complete one cycle. Hence ,Period of the motion of a swing is 6 seconds . Frequency is the number of vibrations produced per second and is calculated with the formula of [tex]\frac{1}{t}[/tex] . SI unit of frequency is Hertz or Hz. We know that time period is 6 seconds so frequency = [tex]\frac{1}{t}[/tex]
⇒ [tex]frequency = \frac{1}{time}[/tex]
⇒ [tex]frequency = \frac{1}{6}[/tex]
⇒ [tex]frequency = 0.167Hz[/tex]
Therefore , Period = 6 seconds and [tex]frequency = 0.167Hz[/tex] .
