Question

A body vibrates 180 times in 60 seconds. Calculate its frequency and time period?

Answer 1

$\Large \mathfrak \blue {⛦Given⛦}$

A body vibrates 180 times in 60 seconds.

$\Large \mathfrak \blue {⛦To~find⛦}$

We have to find it's frequency and time period.

$\Large \mathfrak \blue {⛦Solution⛦}$

• Total number of vibrations = 180
• Total time = 60 seconds

$\sf \red {⛦~~ Time~period=\cfrac{Total~time}{Total~number~of~vibrations} }$

$\red \mapsto \sf \dfrac{\cancel{}60}{180}$

$\red \mapsto \sf \dfrac{1}{3}$

$\red \mapsto \sf 0.33~second$

$\sf \red {⛦~~Frequency= \cfrac{1}{Time~period} }$

$\red \mapsto \sf \dfrac{1}{0.33}$

$\red \mapsto \sf 3.03Hz$

$\sf \green {\therefore~The~time~period~is~0.33seconds~and} \\ \sf \green {frequency~is ~3.03Hz.}$

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Answer 2

$\huge\bold{Given :}$

• An object vibrates 60 times in 4 seconds.

$\huge\bold{To~Find :}$

• Find the frequency :-

$\bf\blue{We~know~that,}$

$\implies{\sf{\large { \:\:\: \dfrac{Total~time}{No.~of~vibrations}\: }}}$⠀

⠀

$\implies{\sf{\large { \:\:\: \dfrac{60}{180}\: }}}$⠀

⠀

$\implies{\sf{\large { \:\:\: \dfrac{1}{3}\: }}}$

⠀⠀

$\implies$ $\bf\green{0.33~seconds}$

$\qquad\quad\boxed{\bf{\mid{\overline{\underline{\purple{\bigstar\: Now~find~the~time~period :- :}}}}}\mid}$⠀

$\bf\blue{We~know~that,}$

$\implies$ $\bf\red{Frequency =}$ ${\sf{\large { \:\:\: \dfrac{1}{Time~period}\: }}}$

$\implies{\sf{\large { \:\:\: \dfrac{1}{0.33}\: }}}$

⠀

$\implies$ $\bf\green{3.03 HZ}$

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$\sf\underbrace{Hence,}$

${: \longrightarrow}$$\sf\underline\red{Time~period~=0.33~seconds}$

${: \longrightarrow}$$\sf\underline\pink{Frequency~=~3.03HZ}$

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${ \longrightarrow}$All done :p

　　　　　　　　　　　$\bf\orange{@hotcupid16}$