A pendulum oscillates 25 times in 5 seconds calculate itrs time period and frequency

Given the data in the question;

Number of oscillation in time t;

Time taken for the oscillation;

Time period

Using the expression for Time period:

We substitute our given value into the equation

Hence, the time period is 0.2 seconds

Also, using the formula for frequency:

Where f is frequency and T is time period.

We substitute our values into the equation

Therefore, the frequency of the pendulum is 5 Hertz.

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I. Time period = 0.2 seconds.

II. Frequency = 5 Hertz.

Explanation:

Given the following data;

Time, t = 5 seconds.

Number of oscillation, n = 25 times

I. To find the time period;

Substituting into the equation, we have;

Time period = 0.2 seconds.

II. To find frequency;

Substituting into the equation, we have;

Frequency = 5 Hertz.

Therefore, the time period and frequency of the pendulum is 0.2 seconds and 5 Hertz respectively.