Question

ex: how much time would it take for a wave with a frequency of 6 cycles/s to create 4 cycles?
f = 6 cycles/s

of cycles = 4 cycles

δt = ( # of cycles ) / f
= (4 cycles) / (6 (cycles/s))
= 2/3 s
it would take the wave 2/3 s to create 4 cycles.

Explanation:

Step1: Identify given values

$f = 6$ cycles/s, number of cycles $= 4$

Step2: Use time-frequency formula

$\Delta t = \frac{\text{# of cycles}}{f}$

Step3: Substitute values into formula

$\Delta t = \frac{4 \text{ cycles}}{6 \frac{\text{cycles}}{s}}$

Step4: Simplify the expression

$\Delta t = \frac{4}{6} s = \frac{2}{3} s$

Answer:

$\frac{2}{3}$ seconds