Question

A pendulum is absorbed to complete 23 full cycles in 58 seconds. Determine the period and the frequency of the pendulum.

Answer 1

To determine the period and frequency of the pendulum, we can use the following formulas:

Period (T) = Total time taken / Number of cycles
Frequency (f) = 1 / Period

Given that the pendulum completes 23 full cycles in 58 seconds, we can substitute these values into the formulas.

Period (T) = 58 seconds / 23 cycles
Frequency (f) = 1 / Period

Calculating the period:

T = 58 seconds / 23 cycles
T ≈ 2.52 seconds

So, the period of the pendulum is approximately 2.52 seconds.

Calculating the frequency:

f = 1 / T
f = 1 / 2.52 seconds
f ≈ 0.396 Hz

Therefore, the frequency of the pendulum is approximately 0.396 Hz.

Answer 2

See below!

Step-by-step explanation:

Given data:

No. of cycles = 23

Time = t = 58 s

Required:

Frequency = f = ?

Time period = T = ?

Formula:

1) Frequency = No. of cycles / Time

2) Time period = 1 / frequency

Solution:

Finding frequency:

Frequency = No. of cycles / Time

f = 23 / 58

f ≈ 0.4 Hz

Finding time period:

We know that,

T = 1 / f

T = 1 / 0.4

T ≈ 2.5 s

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