Answer to Question #95209 in Mechanics | Relativity for Wisdom

Question

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

Answer 1

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!):

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

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

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

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

$$\omega=2\pi f=2\cdot3.14\cdot0.083=0.52\text{ s}^{-1}.$$