Sebuah partikel bergetar harmonik dengan frekuensi 10 Hz dan amplitudo 100 cm, kecepatan partikel pada saat simpangan 80 cm

Sebuah partikel bergetar harmonik dengan frekuensi 10 Hz dan amplitudo 100 cm, kecepatan partikel pada saat simpangan 80 cm

Jawaban : 12π m/s

Diketahui:
f = 10 Hz
A = 100 cm = 1 m
y = 80 cm = 0,8 m

Ditanya: v = …?

Pembhasan:

Gerak harmonik adalah suatu gerak bolak-balik melalui titik keseimbangan. Rumus-rumus pada gerak harmonik:

ω = 2πf
v = ω √(A² – y²)

Keterangan:
ω : frekuensi sudut (rad/s)
f : frekuensi (Hz)
π : 3,14 atau 22/7
v : kecepatan partikel (m/s)
A : amplitudo (m)
y : simpangan (m)

Menentukan frekuensi sudut:

ω = 2πf
ω = 2π • 10
ω = 20π rad/s

Menentukan kecepatan:

v = ω √(A² – y²)
v = 20π • √(1² – 0,8²)
v = 20π • 0,6
v = 12π m/s

Jadi, kecepatan partikel pada saat simpangannya 80 cm adalah 12π m/s.

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