Question

You pluck a G string on a guitar which should be 196hz, and you wish to tune this string. A tuning fork is known to vibrate at 196hz is simultaneously struck, and in a time period of 10s you count 17 beats. Determine the actual frequency of the guitar string.

Answer 1

Answer on Question 49813, Physics, Mechanics — Kinematics — Dynamics You pluck a G string on a guitar which should be 196hz, and you wish to tune this string. A tuning fork is known to vibrate at 196hz is simultaneously struck, and in a time period of 10s you count 17 beats. Determine the actual frequency of the guitar string.

Solution

So we have beat effect here. Beat frequency is $17/10=1.7$ Hz. This is the difference between frequencies of guitar and fork. Hence, guitar has frequency of

$196+1.7=197.7\,Hz$

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