The weight on the spring made 10 full vibrations for 20 seconds. Determine the period and frequency of these vibrations.
| March 30, 2021 | education
t = 20 s.
N = 10.
v -?
T -?
The frequency of oscillations v is the number of oscillations per unit of time. The oscillation frequency is determined by the formula: v = N / t, where N is the number of oscillations of the pendulum during time t.
v = 10/20 s = 0.5 s-1 = 0.5 Hz.
The oscillation period T is the time of one complete oscillation. The oscillation period T is determined by the formula: T = N / t. T = 1 / v.
T = 20 s / 10 = 2 s.
The period T is related to the frequency v by the formula: T = 1 / v.
Answer: the oscillation frequency of the pendulum is v = 0.5 Hz, the oscillation period is T = 2 s.
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