Thursday, January 10, 2013

Hubungan Kelajuan Linear dan Kecepatan sudut

gambar partikel berputar pada lingkaran berjari-jari R

Gambar 1.12 sebuah partikel bergerak melingkar dengan jari-jari lintasan = R. Selama partikel bergerak melingkar dengan kecepatan v menyinggung lingkaran, dan arah tegak lurus pada jarijari R.
Dari gambar 1.11 terlihat bahwa S = R .θ sehingga:

rumus Hubungan Kelajuan Linear dan Kecepatan sudut

Perubahan sudut yang disapu R setiap detik, dinamakan kecepatan sudut yang diberi lambang ω. Kecepatan sudut dapat dirumuskan sebagai berikut.

rumus Kecepatan Sudut

Jika kecepatan V (dalam hal ini dinamakan kecepatan tangensial atau kecepatan linear), dihubungkan dengan kecepatan sudut, maka diperoleh persamaan:

image

Kecepatan sudut ω dinyatakan sebagai kuantitas vektor di mana arahnya tegak lurus pada bidang gerakan putar kanan suatu sekrup, seperti terlihat pada gambar di bawah:

gambar arah kecepatan sudut

Dari gambar 1.13 bahwa R = r sin β sehingga V = ω dt atau secara vektor ditulis: v = ω x r
ini berlaku apabila pada gerak melingkar dengan r dan β yang selalu tetap.
Jika sekali berputar atau satu periode memerlukan waktu T serta banyaknya putaran\ tiap detik atau frekuensi sama dengan f,

rumus frekuensi

Frekuensi diukur dalam satuan per detik atau hertz (Hz)


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