Find the mass of a load that makes 20 vibrations in 16 seconds on a spring with a stiffness of 250 N / m.
| January 28, 2021 | education
Initial data: k (spring rate) = 250 N / m; n (the number of vibrations of the load on the spring) = 20 vibrations; t (time of oscillation of the load) = 16 s.
1) Determine the period of oscillation of the load on the spring: T = t / n = 16/20 = 0.8 s.
2) We calculate the mass of the load on the spring: T = 2Π * √ (m / k) and m = (T / 2Π) ^ 2 * k = √0.8 / (2 * 3.14)) ^ 2 * 250 = 4 , 06 kg.
Answer: The mass of the weight on the spring is 4.06 kg.
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