Science, asked by amirkhokhar5567, 11 months ago

A pendulum oscillates 40 times in 4 second find it is time period and frequency​

Answers

Answered by MissKalliste
13

\huge\underline\mathtt{Question}

★ A pendulum oscillates 40 times in 4 second. Find it's time period and frequency.

\huge\underline\mathtt{Answer}

Given,

  • Number of oscillations = 40 times
  • Time taken = 4 second

To find,

  • Time period = ?
  • Frequency = ?

★ First, we will find frequency then, it will be possible to find out time period.

Formulas to be used,

  • Frequency : \large\mathtt{\frac {Number\:of\:oscillations}{Total\:time\:taken}}
  • Time period : \large\mathtt{\frac {1}{frequency}}

Solution,

→ Frequency : \large\mathtt{\frac {Number\:of\:oscillations}{Total\:time\:taken}}

= Frequency : \large\mathtt{\frac {40}{10}}

= Frequency : \large\mathtt{4}

→ Time period : \large\mathtt{\frac {1}{F}}

= Time period : \large\mathtt{\frac {1}{4}}

= Time period : 0.25

\huge\underline\mathtt{Extra\:Information}

  • Time period : Time taken by an object for one complete oscillation/cycle is called time period. The unit of time period is expressed in “seconds”.
  • Frequency : Number of oscillations taken in a fixed given time is called frequency.

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Thankaaa!!


vikram991: Wonderful Answer :clap:
Answered by Anonymous
0

Answer:

Explanation:

Given that,

A simple pendulum makes 40 oscillations in 4 seconds.The frequency of a pendulum is equal to the number of oscillations per unit time . It is given by:

f=n/t

f=40/4 seconds

f=10 hertz

i.e,frequency = 10 hertz.

Let T is the time period. We know that the reciprocal of time period is called frequency.

t=1/f

t=1/10hertz

t=0.1

i.e, time period=0.1

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