Question

a pendulum takes 4seconds to complete 16 oscillations. what is the time period and frequency of the pendulum ​

Answer 1

Answer:

4oscillation /s

time taken =4s

no. of osci = 16

time period = no. of oscillation/time taken

time period = no. of oscillation/time taken =16/4 = 4/1

Answer 2

Given :-

• Time taken :- 4 sec
• No. of Oscillation = 16

To find :-

• Time period
• Frequency

Time Period :-

$\large{\boxed{\color{orange}{ \mathtt{Time \: \: period= \frac{Time \: \: taken}{No. \: of \: \: oscillations} }}}}$

$\\ \mathtt{\implies{Time \: \: Period = \frac{4}{16} }}$

$\\ \color{purple}{\mathtt{\implies{Time \: \: Period = \frac{1}{4} }}}$

Frequency:-

$\large{\boxed{\color{orange}{ \mathtt{Frequency= \frac{1}{Time \: \: Period } }}}}$

$\\ \mathtt{\implies{ Frequency = \frac{1}{ \frac{1}{4} } }}$

$\\ \mathtt{\implies{ Frequency = 1 \times 4}}$

$\\ \color{purple}\mathtt{\implies{ Frequency = 4 \: \: Hertz }}$