Question

If a ceiling fan spins with a frequency of 4 cycles in 3 seconds what is the period of the spin of the fan

Answer 1

The period of the ceiling fan's spin is 0.75 seconds, calculated by taking the inverse of its frequency, which is 1.33 hertz (or cycles per second).

Step-by-step explanation:

If a ceiling fan spins with a frequency of 4 cycles in 3 seconds, the period (T) of the spin of the fan is the inverse of the frequency (f). The frequency is the number of cycles the fan completes per unit of time. To find the period, we use the formula T = 1/f.

The frequency is given as 4 cycles in 3 seconds, so we first find the frequency per second by dividing the number of cycles by the number of seconds:

1. f = 4 cycles/3 seconds = 1.33 cycles/second (or hertz).
2. Next, we use the formula for period: T = 1/f = 1/(1.33 cycles/second)
3. Calculate the period: T = 0.75 seconds.

Thus, the period of the spin of the fan is 0.75 seconds.

Answer 2

For this case we have that the fan spin period is given by:

`T = \frac {C} {t}`

Where:

C: It is the number of cycles

t: It's time

According to the data of the statement we have:

`T = \frac {4} {3}\\T = 1.33 \frac {1} {s}`

Thus, the fan spin period is
`1.33 \frac {1} {s}`

Answer:

Fan spin period is
`1.33 \frac {1} {s}`