Roboguru

Pertanyaan

Diketahui seutas kawat dengan diameter 4 mm dan memiliki panjang 5 m dan digantung secara vertikal dan diberi beban seberat 50 kg. Jika kawat tersebut tertarik sejauh 3 mm tentukan :

  1. Tegangan kawat!
  2. Regangan kawat!
  3. Modulus elastik bahan kawat!

F. Arifin

Master Teacher

Jawaban terverifikasi

Pembahasan

Diketahui :

d equals 4 space mm equals 4 times 10 to the power of negative 3 end exponent space straight m l subscript o equals 5 space straight m m equals 50 space kg capital delta l equals 3 space mm g equals 10 space straight m divided by straight s squared

Ditanya :

1. space sigma equals ? 2. space e equals ? 3. space E equals ?

Jawab :

1. Tegangan.

sigma equals F over A sigma equals fraction numerator m g over denominator begin display style 1 fourth end style pi d squared end fraction sigma equals fraction numerator 50 times 10 over denominator begin display style 1 fourth end style times begin display style 22 over 7 end style times open parentheses 4 times 10 to the power of negative 3 end exponent close parentheses squared end fraction sigma equals fraction numerator 50 times 10 over denominator begin display style 1 fourth times 22 over 7 times 16 times 10 to the power of negative 6 end exponent end style end fraction sigma equals 3 comma 98 times 10 to the power of 7 space straight N divided by straight m squared

2. Regangan.

e equals fraction numerator capital delta l over denominator l subscript o end fraction e equals fraction numerator 3 times 10 to the power of negative 3 end exponent over denominator 5 end fraction e equals 6 times 10 to the power of negative 4 end exponent

3. Modulus elastisitas.

E equals sigma over e E equals fraction numerator 3 comma 98 times 10 to the power of 7 over denominator 6 times 10 to the power of negative 4 end exponent end fraction E equals 6 comma 63 times 10 to the power of 10 space straight N divided by straight m squared

Jadi tegangan kawat adalah 3 comma 98 times 10 to the power of 7 space straight N divided by straight m squared, regangan kawat adalah 6 times 10 to the power of negative 4 end exponent dan modulus elastisitas bahan kawat adalah 6 comma 63 times 10 to the power of 10 space straight N divided by straight m squared.

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