Question

A pendulum swings back and forth 60 times in 20s. Calculate the frequency

Answer 1

Answer:

3Hz

Explanation:

Oscillation (N) = 60times

Time taken to complete the oscillation (t) = 20s

Frequency (f) =?

f = N/t = 60/20 = 3Hz

Answer 2

Given :

• Oscillation = 60
• Time = 20 s

To Find :

• Frequency = ?

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SolutioN :

$\dag$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Frequency = \dfrac{Oscillation}{Time} }}}}}$

$\dag$ Calculating the Frequency :

${\dashrightarrow{\qquad{\sf{ Frequency = \dfrac{Oscillation}{Time} }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Frequency = \dfrac{60}{20} }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Frequency = \cancel\dfrac{60}{20} }}}} \\ \\ \\ \ {\qquad \; \; {\dashrightarrow \; {\pmb{\underline{\boxed{\purple{\frak{ Frequency = 3 \; Hz }}}}}}}}$

$\therefore \;$ The frequency of the Pendulum is 3 Hz .

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