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Question

A siren's 60-hole disc rotates at a steady speed of 360revolutions per minute. The sound that is emitted is in tune with a frequency tuning fork.


A

10Hz

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B

360Hz

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C

216Hz

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D

60Hz

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Solution

The correct option is B

360Hz


Step 1: Given data:

The number of holes in the disk=60

Speed =360rpm

Step 2: Formula used:

Frequency is the number of waves pass a fixed point per unit time.

Frequency of sound f=Numberofwavessecond1

Step 3: Calculation of frequency:

Convert revolutions per minute to rev per sec

Speed in rev per second is defined as

S=36060revolutionspersecond=6rps

The number of waves produced in each revolution is determined by the number of holes.

The number of waves = 60

Thus frequency can be calculated by multiplying the no of waves per revolution and speed in revolution per second that is,

Frequency=No.ofwavesrev×revsec=No.ofwavespersec

From the formula of frequency from equation (1)

Frequency=No.ofwavespersec=60×6=360Hz

Hence, option B is the correct answer.


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