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5. a. The frequency of a standing wave on a string is ƒ when the string's tension is Ts. If the tension is changed by the small amount ATs, without changing the length, show that the frequency changes by an amount Aƒ such that Af/f = (1/2)AT,/T,

5. a. The frequency of a standing wave on a string is ƒ when the string's tension is Ts. If the tension is changed by the small amount ATs, without changing the length, show that the frequency changes by an amount Aƒ such that Af/f = (1/2)AT,/T,

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5. a. The frequency of a standing wave on a string is f when the string's tension is Ts. If the tension is changed by the small amount ATs, without changing the length, show that the frequency changes by an amount Aƒ such that Af/f = (1/2)AT3/T, b. Two identical strings vibrate at 500 Hz when stretched with the same tension. What percentage increase in the tension of one of the strings will cause five beats per second when both strings vibrate simultancously?
Transcribed Image Text:5. a. The frequency of a standing wave on a string is f when the string's tension is Ts. If the tension is changed by the small amount ATs, without changing the length, show that the frequency changes by an amount Aƒ such that Af/f = (1/2)AT3/T, b. Two identical strings vibrate at 500 Hz when stretched with the same tension. What percentage increase in the tension of one of the strings will cause five beats per second when both strings vibrate simultancously?
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