Question

A bicycle wheel spins 25 times in 5 seconds. Calculate the period and frequency of the wheel.

Answer 1

Step 1:

Given data:

The bicycle wheel spins 25 times (vibrations)

Time = 5 seconds.

Step 2:

Formulas Required:

Frequency is the number of vibrations (cycles) per unit of time.

Frequency (f) = $\frac{no.ofcycles}{time}$

Frequency is inversely proportional to the time period.

Time period (t) =$\frac{time}{no.ofcycles}$.

Step 3:

Calculation:

Here total number of cycles = 25

Total time = 5 seconds

f = $\frac{25cycles}{5seconds}$

f = 5 hertz

Frequency is inversely proportional to the time period.

Time period (t) = $\frac{time}{no.ofcycles}$.

t = $\frac{5seconds}{25cycles}$

t =$\frac{1}{5}$ = $0.2\frac{sec}{cycles}$

Step 4:

Conclusion:

Hence, the period is $0.2$second/cycle and the frequency is$5Hz.$