Question

The piston in a petrol engine goes up and down 3000 times per minute. For this engine, calculate the frequency and period of the piston.

Answer 1

Part 1: Given data

No. of cycles of petrol engine per minute = 3000.

1 minute = 60 seconds.

Part 2: Formulas Required

Frequency is the number of cycles per unit time.

Time period: No. of seconds per oscillations or cycles.

Frequency and time period are inversely proportional to each other.

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

Time period= $\frac{1}{f}$ seconds.

Part 3 : Calculations.

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

f =$\frac{3000cycles}{60seconds}$

f =$50Hertz$ or $50Hz$.

Time period (t) = $\frac{1}{f}$ seconds .

t = $\frac{1}{50Hz}$$=0.02seconds$.

Part 4: Conclusion

Hence, the frequency is 50 Hz and the time period is 0.02 seconds.