A spring of spring constant 30.0 N/m is attached to a 2.3 kg mass and set in motion. What is the period and frequency of vibration for the 2

Question

A spring of spring constant 30.0 N/m is attached to a 2.3 kg mass and set in motion. What is the period and frequency of vibration for the 2.3 kg mass?

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Minh Khuê 4 years 2021-09-03T07:03:45+00:00 1 Answers 4 views 0

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  1. thienthanh
    0
    2021-09-03T07:05:12+00:00
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    Answer:

    1. The period is 1.74 s.

    2. The frequency is 0.57 Hz

    Explanation:

    1. Determination of the the period.

    Spring constant (K) = 30 N/m

    Mass (m) = 2.3 Kg

    Pi (π) = 3.14

    Period (T) =?

    The period of the vibration can be obtained as follow:

    T = 2π√(m/K)

    T = 2 × 3.14 × √(2.3 / 30)

    T = 6.28 × √(2.3 / 30)

    T = 1.74 s

    Thus, the period of the vibration is 1.74 s.

    2. Determination of the frequency.

    Period (T) = 1.74 s

    Frequency (f) =?

    The frequency of the vibration can be obtained as follow:

    f = 1/T

    f = 1/1.74

    f = 0.57 Hz

    Thus, the frequency of the vibration is 0.57 Hz

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