Roboguru

Dua pipa organa terbuka masing-masing dengan panja...

Dua pipa organa terbuka masing-masing dengan panjang begin mathsize 14px style 1 comma 00 space straight m end style dan begin mathsize 14px style 1 comma 01 space straight m end style, meng­hasilkan begin mathsize 14px style 3 comma 5 end style layangan per sekon ketika keduanya berbunyi pada nada dasarnya. Tentukan cepat rambat bunyi di udara!

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Jawaban:

Diketahui :
begin mathsize 14px style L subscript 1 equals 1 comma 00 space straight m L subscript 2 equals 1 comma 01 space straight m f subscript l a y a n g a n end subscript equals 3 comma 5 space Hz space saat space f subscript 0 end style

Ditanya :
begin mathsize 14px style v equals.... ? end style

Penyelesaian :

begin mathsize 14px style f subscript l a y a n g a n end subscript equals open vertical bar f subscript 0 subscript 1 end subscript minus f subscript 0 subscript 2 end subscript close vertical bar thin space thin space thin space 3 comma 5 space Hz equals open vertical bar fraction numerator v over denominator 2 L subscript 1 end fraction minus fraction numerator v over denominator 2 L subscript 2 end fraction close vertical bar thin space thin space thin space 3 comma 5 space Hz equals open vertical bar fraction numerator 1 over denominator 2 open parentheses 1 comma 00 space straight m close parentheses end fraction minus fraction numerator 1 over denominator 2 open parentheses 1 comma 01 space straight m close parentheses end fraction close vertical bar v thin space thin space thin space 3 comma 5 space Hz equals open vertical bar fraction numerator 1 over denominator 2 space straight m end fraction minus fraction numerator 1 over denominator 2 comma 02 space straight m end fraction close vertical bar v thin space thin space thin space 3 comma 5 space Hz equals open vertical bar fraction numerator 1 comma 01 minus 1 over denominator 2 comma 02 space straight m end fraction close vertical bar v thin space thin space thin space 3 comma 5 space Hz equals open vertical bar fraction numerator 0 comma 01 over denominator 2 comma 02 space straight m end fraction close vertical bar v thin space thin space thin space thin space thin space thin space thin space thin space thin space thin space thin space thin space thin space thin space v equals fraction numerator 3 comma 5 space Hz cross times 2 comma 02 space straight m over denominator 0 comma 01 end fraction thin space thin space thin space thin space thin space thin space thin space thin space thin space thin space thin space thin space thin space thin space v equals fraction numerator 7 comma 07 space straight m divided by straight s over denominator 0 comma 01 end fraction thin space thin space thin space thin space thin space thin space thin space thin space thin space thin space thin space thin space thin space thin space v equals 707 space straight m divided by straight s end style


Jadi, cepat rambat bunyi di udara sebesar 707 m/s.

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