Question

CLASS 8
A simple pendulum makes 20 oscillations in 40 seconds. What is the time period and frequency

of its oscillation?
please solve ot dont give direct answer ​

Answer 1

Given Question:

A simple pendulum makes 20 oscillations in 40 seconds. What is the time period and frequency of its oscillation?

Steps to solve:

• As per it is given in the question that number of oscillations is 20 and time taken is 40 seconds.
• So we can find the frequency by the formula || F = number of oscillations/time ||.
• And we know that time period is the reciprocal of Frequency so Time period will be 1/F.

Required Answer:

Given that-

• Number of oscillations ( n ) = 20
• time taken ( t ) = 40 seconds

To find-

• Time period and frequency of its oscillation.

Calculation-

We know that,

• Formula -$\red \bigstar$ ${\boxed {\tt { F = \dfrac{n}{t}}}}$

Where,

• F denotes frequency
• n denotes number of oscillations
• t denotes time

Therefore,

${\qquad {\underline {\underline {\rm {\red { F = \dfrac{ n}{t} }}}}}}$

$\rm { \leadsto F = \cancel {\dfrac{20}{40}} = \dfrac{1}{2}Hertz }$

Now, calculating time period,

We know that,

• Formula -$\red \bigstar$ ${\boxed {\tt { t= \dfrac{1}{f}}}}$

Where,

• F denotes frequency
• t denotes time

Therefore,

${\qquad {\underline {\underline {\rm {\red { t = \dfrac{ 1}{f} }}}}}}$

$\rm { \leadsto t = \dfrac{ 1}{ \dfrac{1}{2} } }$

$\rm { \leadsto t = \dfrac{1}{1} \times 2 = 2 seconds}$

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Additional Information-

Definitions-

• Frequency - The number of the oscillations made by the vibrating object in one second is known as the frequency of the object.

• Its SI unit is Hertz ( Hz )

• Time period - The time taken by the vibrating body to complete one oscillation is called time period.

• Its SI unit is seconds.

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Answer 2

Explanation:

the time period taken by the pendulum is 2 seconds