You want to describe the harmonic motion of a swing. You find out that it takes 2 seconds for the swing to complete one cycle. What is the swing's period and frequency?

The 2 seconds that it takes tocomplete one full cycle is the period of the motion ... 2 seconds .
The frequency is the reciprocal of the period . . . 1 / 2 seconds = 0.5 Hz .

Answered by AL2006 | 2024-06-10

To describe the harmonic motion of a swing, it's important to understand two key concepts: period and frequency. In this case, it takes 2 seconds for the swing to complete one full cycle. Consequently, the swing's period, T, is 2 seconds. The frequency, f, is the inverse of the period, which means the frequency is 1/2 Hz, or 0.5 Hz. Therefore, in one second, the swing completes half of a cycle.
The period is the measure of time taken for one complete oscillation, and the frequency is how many oscillations occur in one second. These two values are inversely related, as frequency is calculated as 1 divided by the period (f = 1/T).

Answered by Burger1123 | 2024-06-24

The period of the swing is 2 seconds, which is the time it takes to complete one full cycle. The frequency is 0.5 Hz, meaning that the swing completes half of its cycle every second. These calculations help describe the harmonic motion of the swing effectively.
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Answered by AL2006 | 2024-11-20