A student records the time taken for a simple pendulum to complete 20 complete oscillation… — JAMB UTME

A student records the time taken for a simple pendulum to complete $20$ complete oscillations as $30\text{ s}$ . What is the period of oscillation of the pendulum, in seconds?

Answer: 1.5 s

Answer

The period of oscillation of the pendulum is

1.5\text{ s}

The period of oscillation (

T

) is the time required for one complete cycle. Dividing the total time (

30\text{ s}

) by the number of oscillations (

20

) gives

1.5\text{ s}

Step-by-Step Solution

Identify the given values for total time and total number of oscillations.

Total time

t = 30\text{ s}

and number of oscillations

N = 20

The period is defined as the time taken for a single complete oscillation.

Divide the total time by the number of oscillations to calculate the period.

T = \frac{30\text{ s}}{20} = 1.5\text{ s}

Applying the period formula

T = \frac{t}{N}

yields the duration of one period.

Key Concept

Period of Oscillation

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