An object undergoing simple harmonic motion completes 20 complete oscillations in a time d… — JAMB UTME

An object undergoing simple harmonic motion completes $20$ complete oscillations in a time duration of $10.0\text{ s}$ . What is the period of oscillation of the object in seconds?

Answer: 0.5 s

Answer

The period of oscillation is

0.5\text{ s}

The period of simple harmonic motion is the time taken to complete one single oscillation. Dividing the total time (

10.0\text{ s}

) by the number of oscillations (

20

) yields

0.5\text{ s}

Step-by-Step Solution

Apply the definition of oscillation period

T = \frac{t}{N}

Period

T

measures the time required for a single complete cycle.

Calculate the numerical value for period

T = \frac{10.0\text{ s}}{20} = 0.5\text{ s}

Dividing total elapsed time by total completed oscillations gives time per oscillation.

Key Concept

Period of Simple Harmonic Motion

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