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The time period of a pendulum is 0.5 s. No of oscillations of the pendulum is 20. Find the time taken to complete 20 oscillations (with explanation pls)

Sagot :

  • Time period=0.5s
  • No if oscillations=20

[tex]\\ \sf\longmapsto Time\:period=\dfrac{Time\:taken}{No\:of\; oscillations}[/tex]

[tex]\\ \sf\longmapsto Time\:taken=No\:of\: oscillations (Time\: period)[/tex]

[tex]\\ \sf\longmapsto Time\:taken=20(0.5)[/tex]

[tex]\\ \sf\longmapsto Time\:taken=10s[/tex]

Given :

  • Time period = 0.5s
  • Number of oscillations = 20

What To Find :

  • Time taken to complete 20 oscillations.

Formula Using :

[tex]\begin{gathered} {\underline{\boxed{ \rm {\red{Time \: period \: = \: \frac{Time \: \: taken}{Number \: of \: oscillations} }}}}}\end{gathered}[/tex]

[tex]\begin{gathered} {\underline{\boxed{ \rm {\purple{Time \: taken \: = \: Number \: of \: oscillations \: (Time \: period)}}}}}\end{gathered}[/tex]

Solution :

[tex] \large \rightarrow \: {\rm {{{\color{orange}{Time \: taken \: = \: 20 (0.5)}}}}} [/tex]

[tex]\large \rightarrow \: {\rm {{{\color{orange}{Time \: taken \: = \: 10s}}}}} [/tex]