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Bandul bergetar 49 kali dalam waktu 44 s. Jika per...

Bandul bergetar 49 kali dalam waktu 44 s. Jika percepatan gravitasi sebesar 9,8 m/s2, berapakah panjang tali bandulnya?

Jawaban:

Diketahui:

n equals 49 space kali t equals 44 space straight s g equals 9 comma 8 space bevelled straight m over straight s squared

Ditanya: L

Jawab:

T equals 2 straight pi times square root of L over g end root fraction numerator T over denominator 2 straight pi end fraction equals square root of L over g end root fraction numerator T squared over denominator 4 straight pi squared end fraction equals L over g L equals fraction numerator T squared cross times g over denominator 4 straight pi squared end fraction equals fraction numerator open parentheses begin display style t over n end style close parentheses squared cross times g over denominator 4 straight pi squared end fraction equals fraction numerator open parentheses begin display style 44 over 49 end style close parentheses squared cross times 9 comma 8 over denominator 4 cross times open parentheses begin display style 22 over 7 end style close parentheses squared end fraction equals 44 over 49 cross times 44 over 49 cross times 9 comma 8 cross times 1 fourth cross times 7 over 22 cross times 7 over 22 equals 2 over 7 cross times 2 over 7 cross times 9 comma 8 cross times 1 fourth equals 1 over 7 cross times 1 comma 4 equals 0 comma 2 space straight m equals 20 space cm
        
Jadi, jawaban yang tepat adalah 20 cm.

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