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Fisika Dasar I Umiatin, M.Si ,[object Object],[object Object]
GELOMBANG ,[object Object],11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Outline ,[object Object],[object Object],11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Waves ,[object Object],[object Object],[object Object],11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Why learn about waves? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Characteristics of waves ,[object Object],The frequency of a wave tells how often each point oscillates. The amplitude of a wave is the maximum movement from equilibrium. The wavelength of a wave is the length of one complete cycle. 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Wave pulses ,[object Object],11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Relationship between speed, frequency, and wavelength ,[object Object],v = f   Frequency (cycles/sec) Wavelength (m) Speed (m/sec) 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],transverse waves: waves in a string etc. longitudinal waves: sound waves etc. waves in water etc. 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Types of mechanical waves  Longitudinal and transverse waves sound wave = longitudinal wave C = compression R = rarefaction air compressed air rarefied 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],[object Object],[object Object],x=0 x t=0  A t=T/4 t=T period amplitude wavelength 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Mathematical description of a wave ,[object Object],[object Object],[object Object],[object Object],sinusoidal wave moving in +x direction angular frequency velocity of wave,  NOT of particles of the medium wavelength period sinusoidal wave moving in -x direction v->-v phase velocity 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],x=0 x t=0  t=T/4 t=T period wavelength 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],wave number:  The speed of wave is the speed with which we have to move along a point of a given phase. So for a fixed phase, phase phase velocity 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],velocity acceleration Also wave equation u in textbook 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],Solutions: such as The most general form of the solution: wave equation 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Speed of a transverse wave ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Newton’s 2 nd  law mass acceleration 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],[object Object],wave eq. 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],[object Object],[object Object],a does work on the  string segment right of point a. ,[object Object],work done P max 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],[object Object],over a period: ,[object Object],[object Object],11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],[object Object],[object Object],power/unit area 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],[object Object],[object Object],11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],[object Object],For x<x B At x=x B incident wave reflected wave Vertical component of the force at the boundary  is zero. 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],[object Object],For x<x B At x=x B Displacement at the boundary is zero. 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],[object Object],11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],[object Object],11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
REFFERENCE ,[object Object],11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
TERIMA KASIH 11/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |

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  • 30. TERIMA KASIH 11/03/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |