Question

A simple pendulum takes 90 seconds to complete 30 oscillations. What is the time period and frequency of the pendulum?​

Answer 1

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Given:-

A simple pendulum takes 90 seconds to complete 30 oscillations.

To Find :-

What is the time period and frequency of the pendulum.

Formula Used :-

♣ Time Period Formula

Time period=1/frequency

Solution :-

First, we have to find the time period of the pendulum :

↦ A body makes 90 seconds to complete 30 oscillations. Then time taken to complete 1 oscillations :

Given :

★ Total time taken = 90 seconds

★ Number of Oscillations = 30 oscillations

According to the question by using the formula we get,

⟹TimePeriod=90/30

⟹TimePeriod= 9/3

⟹TimePeriod= 3/1

=3

The time period of pendulum is 3seconds.

Now, we have to find the frequency of the pendulum:-

Given :

★ Time Period = 3 seconds

According to the question by using the formula we get,

⟶Frequency= 1/3

⟶Frequency=0.33Hz

∴ The frequency of the pendulum is 0.33 Hz .

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Answer 2

Given:-

A simple pendulum takes 90 seconds to complete 30 oscillations.

To Find :-

What is the time period and frequency of the pendulum.

Formula Used :-

♣ Time Period Formula

Time period=1/frequency

Solution :-

First, we have to find the time period of the pendulum :

↦ A body makes 90 seconds to complete 30 oscillations. Then time taken to complete 1 oscillations :

Given :

★ Total time taken = 90 seconds

★ Number of Oscillations = 30 oscillations

According to the question by using the formula we get,

⟹TimePeriod=90/30

⟹TimePeriod= 9/3

⟹TimePeriod= 3/1

=3

The time period of pendulum is 3seconds.

Now, we have to find the frequency of the pendulum:-

Given :

★ Time Period = 3 seconds

According to the question by using the formula we get,

⟶Frequency= 1/3

⟶Frequency=0.33Hz

∴ The frequency of the pendulum is 0.33 Hz .