An object on the end of a spring oscillates with SHM of regular frequency 2.0rads, what is the period of the oscillation

Physics

ScanSolve AI Answer

Answer

3.14 s\text{3.14 s}

Step-by-step solution

3 steps
  1. Identify the relationship between angular frequency and period.

    The period TT of an oscillation is related to its angular frequency ω\omega by the formula:

    T=2πωT = \frac{2\pi}{\omega}
  2. Substitute the given angular frequency into the formula.

    Given ω=2.0 rad/s\omega = 2.0 \text{ rad/s}.

    T=2π2.0 rad/sT = \frac{2\pi}{2.0 \text{ rad/s}}
  3. Calculate the period.

    T=π sT = \pi \text{ s}

    Using π≈3.14159\pi \approx 3.14159:

    T≈3.14 sT \approx 3.14 \text{ s}

    The period of the oscillation is 3.14 s\text{3.14 s}.

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