Sebuah gelombang berjalan memiliki frekuensi 10 Hz dan kelajuan perambatannya 100 cm/s. Jika amplitude gelombang 2 cm dan gelombang merambat ke kanan, maka persamaan simpangannya dimana x dan y dalam meter serta dalam sekon adalah….

Sebuah gelombang berjalan memiliki frekuensi 10 Hz dan kelajuan perambatannya 100 cm/s. Jika amplitude gelombang 2 cm dan gelombang merambat ke kanan, maka persamaan simpangannya dimana x dan y dalam meter serta dalam sekon adalah….

Jawaban yang benar untuk pertanyaan tersebut adalah y = 0,02 sin (20πt – 20πx)

Diketahui:
v (cepat rambat gelombang) = 100 cm/s = 1 m/s
f (frekuensi) = 10 Hz
A (amplitudo) = 2 cm = 0,02 m

Ditanya: y (persamaan simpangan)

Jawab:
Konsep yang digunakan dalam menjawab soal ini adalah persamaan simpangan pada gelombang berjalan. Karena merambat ke kanan, maka persamaan akan menjadi:
y = A sin (ωt – kx)
Dengan:
y = simpangan (m)
A = amplitudo (m)
ω = kecepatan sudut (rad/s)
k = bilangan gelombang (1/m)

a. Cari nilai ω dengan:
ω = 2πf
ω = 2π x 10
ω = 20π rad/s

b. Cari k dengan:
k = ω/v
k = 20π/1
k = 20π/m

Maka, persamaan akan menjadi:
y = 0,02 sin (20πt – 20πx)

Baca Juga :  Complete the sentences with a form of the verb in parentheses. Three hundred and fifty years ago, people (1. make) /made/ their own clothes. They (2. have, not) _____ machines for making clothes. There (3. be, not) _____ any clothing factories. People (4. tear) _____ homemade clothes that were sewn by hand. Today, very few people (5. make) _____ their own clothes. Clothing (6. come) _____ ready-made from factories. People (7. buy) _____ almost all their clothes from stores. The modern clothing industry (8. be) _____ international. As a result, people from different countries often (9. wear) _____ similar clothes. For example, people in many different countries throughout the world (10. wear) _____ jeans and t-shirts. However, some regional differences in clothing still (11. exist) _____ for instance, people of the Arabian deserts (12. wear) _____ loose, flowing lobes to protect themselves from the heat of the sun. In parts of Northern Europe, fur hats (13. be) _____ common in the winter. In the future, there (14. be, probably) _____ fewer and fewer differences in clothing. People throughout the world (15. wear) _____ clothes from the same factories. (16. We all, dress) _____ in the future? TV shows and movies about the future often (17. show) _____ everybody in a uniform of some kind. What (18. you, think) _____? Number 17