Question

Calculate the frequency in hertz for the cyclic events:

(b) $33\frac{1}{3}$ turns of a turntable in one minute.

Answer 1

Step 1: Given data.

No. of revolutions (oscillations) =$33\frac{1}{3}$ turns.

Time = 1 minute = 60 seconds.

Step 2: Formulas Required.

Frequency is the number of revolutions (oscillations) per unit time.

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

Step 3: Calculation.

Here the total number of oscillations =$33\frac{1}{3}$.

Total time = 60 seconds.

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

f = $\frac{33{\displaystyle \frac{1}{3}}oscillations}{60seconds}$.

f = $\frac{33{\displaystyle .3333}oscillations}{60seconds}$.

f = $0.5555Hz$.

Step 4: conclusion:

Hence, the frequency for $33\frac{1}{3}$ revolutions in 60 seconds in a turntable is $0.5555Hertz$.