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Elemen Differensial Panjang, Luas, Volume Pertemuan ke-4.

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Presentation on theme: "Elemen Differensial Panjang, Luas, Volume Pertemuan ke-4."— Presentation transcript:

1 Elemen Differensial Panjang, Luas, Volume Pertemuan ke-4

2 Sistem koordinat Cartesian P 1 (x, y, z) P 2 (x +  x, y +  y, z +  z) Panjang differensial dl d l = dx a x + dy a y + dz a z Luas differensial ds x = dy dz a x ds y = dx dz a y ds z = dx dy a z Volume differensial dv = dx dy dz

3 Sistem koordinat silinder P 1 ( , , z) P 2 (  + ,  + , z +  z) Panjang differensial d l d l = d  a  +  d  a  + dz a z Luas differensial ds  =  d  dz a  ds  = d  dz a  ds z =  d  d  a z Volume differensial dv =  d  d  dz

4 Sistem koordinat bola P 1 (r, ,  ) P 2 (r +  r,  + ,  +  ) Panjang differensial d l d l = dr a r + r d  a  + r sin  d  a  Luas differensial ds r = r 2 sin  d  d  a r ds  = r sin  dr d  a  ds  = r dr d  a  Volume differensial dv = r 2 sin  dr d  d 

5 END


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