Question

a simple pendulum takes 32 s to complete 20 oscillations. What is the time period of the pendulum​

Answer 1

Answer:

A simple pendulum takes 32 s to complete 20 oscillations. Its time period will be 1.6 s

Explanation:

• The time period of an oscillation can be expressed as,

        $Time\ period = \frac{1}{frequency}$

        The number of oscillations completed per time is the frequency of oscillation. It can be obtained by the equation,  

        $Frequency = \frac{No\ of\ oscillations}{time\ taken}$

• Let f be the frequency of oscillation, N be the number of oscillations completed in time t and T be the time period.

         So as per definition,

        $f = \frac{N}{t}$                            ...(1)

         and

        $T = \frac{1}{f}$

• In the question, it is given that,

        N   $=20$

         t   $=32s$

• Then using equation(1),

         f = $\frac{20}{32} =0.625 Hz$

         T = $\frac{1}{0.625}= 1.6s$

Answer 2

$\Large{\mathbf{\underline{\orange{Question:-}}}}$

A simple pendulum takes 32 s to complete 20 oscillations. What is the time period of the pendulum ?

$\Large{\mathbf{\underline{\orange{Solution :-}}}}$

Number of oscillations = 20

total time taken to complete oscillations = 32s

$\text{time \: period} \: \: = \frac{total \: \: time \: \: taken}{no.\: \: of \: \: oscillations}$

$= \frac{32}{20} = 1.6s$

$\begin{gathered}{\large{\underline{\boxed{\rm{\color{magenta}{ so \: time \: period \: of \: pendulum \: is \: 1.6s}}}}}} \\ \end{gathered}</p><p>$