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soal dan pembahasan gerak melingkar

GERAK MELINGKAR
(soal dan pembahasan)
part 1/3


1.      Waktu yang diperlukan untuk menempuh satu putaran disebut . . .
a. periode
b. frekuensi
c. kecepatan
d. kelajuan anguler
e. percepatan sentripetal
jawab: A (periode)

2.      Sebuah benda yang melakukan gerak melingkar beraturan memiliki ….
a. kecepatan tetap
b. kelajuan tetap
c. kecepatan yang arahnya menjauhi pusat lingkaran
d. kelajuan yang arahnya menjauhi pusat lingkaran
e. percepatan tetap
jawab: B

3.      Sebuah benda yang mengalami gerak melingkar beraturan, kecepatannya tergantung pada … .
a. massa dan periode
b. massa dan frekuensi
c. massa dan jari-jari lintasan
d. periode dan jari-jari lintasan
e. percepatan gravitasi setempat
jawab: D

4.      Jika sebuah roda katrol berputar 60 putaran tiap dua menit, maka frekuensi dan kecepatan sudut roda adalah ….
a. 0,5 Hz dan 6,28 rad/s 
b. 0,5 Hz dan 3,14 rad/s 
c. 0,8 Hz dan 6,28 rad/ s
d. 0,8 Hz dan 3,14 rad/ s
e. 1 Hz dan 3,14 rad /s

penyelesaian:
f = n/t = 60/120 = 0,5 Hz
ω = 2πf = π = 3,14 rad/s
jawab: B

5.      Sebuah kipas angin berputar sebanyak1.200 tiap 30 sekon. Periode dan frekuensi putaran kipas angin tersebut adalah . . . .
a. 40 s dan 0,25 Hz
b. 40 s dan 0,025 Hz
c. 40 s dan 0,0025 Hz
d. 0,025 s dan 40 Hz
e. 0,0025 s dan 40 Hz

penyelesaian:
T = t/n = 30/1200 =0,025 s
F = n/t = 1200/30 = 40 Hz

Jawab: D

6.      Dalam waktu 0,5 sekon, sebuah benda menempuh sudut ½ π. Kecepatan sudut benda tersebut adalah . . . rad/s
a. 2π          c. ¾ π              e. ¼ π
b. π           d. ½ π

Penyelesaian:
ω = Ө/t = ½ π / 0,5 = π

jawab: B

7.      Sebuah roda berputar dengan kelajuan linear 1,4 m/s. Jari-jari roda tersebut 7 cm. Waktu yang dibutuhkan untuk menempuh satu putaran penuh yaitu . . . .
a. 3,14 s                 d. 0,1 s
b. 1 s .                    e. 0,0314 s
c. 1/3,14 s

penyelesaian:
diketahui:
v = 1,4 m/s
r = 7 cm = 0,07 m
ditanya: T (periode)
penyelesaian:
ω = v / r = 1,4 / 0,07 = 20 rad /s
ω = 2π / T
T = 20 / 2π = 1 / 3,14 sekon

Jawab: C

8.      Seseorang memutar sebuah benda dengan kecepatan awal 4 rad/s. Benda tersebut diputar dengan percepatan sudut 0,5 rad/s² Kecepatan benda pada sekon ke-empat adalah . . . rad/s.
a. 4,0         c. 5,0               e. 8,0
b. 4,5         d. 6,0

penyelesaian:
ωt = ωo+ α.t = 4 + 0,5 . 4 = 4 + 2 = 6

jawab: D


9.      Arus sungai dengan kelajuan 18,94 m/s digunakan untuk memutar kincir air. Diameter kincir air tersebut adalah 120 cm. Dalam 1 menit, kincir air akan berputar sebanyak . . . kali.
a. 108,1     c. 301,6           e. 312,6
b. 201,8     d. 310,6          

penyelesaian:
ω = v / r = 18,94 / 0,6
ω = Ө/t
ω . t = Ө
Ө = (18,94/12) . 60 rad = (18,94/0,6) . 60 /  2π = 301, 6 putaran

10.    Sebuah benda mengalami gerak melingkar beraturan dengan jari-jari lintasan 1 m. Jika dalam waktu 10 s mengalami perpindahan sudut sebesar 20 putaran, maka periode gerak benda itu adalah … .
a. 0,2 s       c. 2,0 s             e. 10,2 s
b. 0,5 s       d. 5,0 s

jawab: B

T = t/n = 10/20 = 0,5 s

klik pembahasan selanjutnya:
part 1 ( soal no 1 - 10)
part 2 (soal no 11 - 20)
part 3 (soal no 21 - 27)



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