Question

Two strings are adjusted to vibrate at exactly 155.0 hz. then the tension in one string is increased slightly. afterward, 438.00 beats per second are heard when the strings vibrate at the same time. what is the new frequency of the string that was tightened?

Answer 1

The new frequency of the string that was tightened is 593.0 Hz, calculated using the beat frequency of 438 beats per second and the original frequency of 155.0 Hz.

Step-by-step explanation:

When two strings are adjusted to vibrate at exactly 155.0 Hz and the tension in one string is then increased slightly, the resulting beats phenomenon can be used to determine the new frequency of the tightened string. The number of beats per second is equal to the absolute value of the difference between the two frequencies. Given that 438.00 beats per second are heard, this means the frequency of the string that was tightened has either increased or decreased by 438.00 Hz from the original frequency.

The new frequency of the tightened string could be 155.0 Hz + 438.0 Hz = 593.0 Hz, or it could be 155.0 Hz - 438.0 Hz (which would not be physically possible in this case because you cannot have a negative frequency). Therefore, the new frequency of the string after tightening is 593.0 Hz.