Question

an oscillator vibrates at 3.11Hz how long will it take to go through 50 cycles ?

Answer 1

An oscillator vibrates at $3.11\mathrm{Hz}$ how long will it take to go through 50 cycles?

Frequency is the number of occurrences of a repeating event per unit time. The period is the duration of one cycle in a repeating event, so the period is the reciprocal of the frequency:

$$T = \frac {1}{f}$$

Time to go through 50 cycles equals:

$$T _ {5 0} = 5 0 * T$$

where T – period of oscillator.

Therefore:

$$T _ {5 0} = \frac {5 0}{f} = \frac {5 0}{3 . 1 1} = 1 6. 0 8 \text{ seconds}$$

Answer: 16.08 seconds