Question #95209

A simple pendulum makes 5 oscillations in 1 minute determine the oscillation

Expert's answer

Since the words "Determine the oscillations" have uncertain meaning, determine the period, frequency and the angular frequency.

A period is time required to make 1 complete oscillation (convert time to seconds!):


T=tN=605=12 s.T=\frac{t}{N}=\frac{60}{5}=12\text{ s}.

A frequency is how many oscillations the pendulum makes in a second:


f=1T=112=0.083 Hz.f=\frac{1}{T}=\frac{1}{12}=0.083\text{ Hz}.

An angular frequency is an important value which allows determining different mathematical characteristics of oscillations:


ω=2πf=23.140.083=0.52 s1.\omega=2\pi f=2\cdot3.14\cdot0.083=0.52\text{ s}^{-1}.


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