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ȸÀüüÀÇ Ã¼Àû(ºÎÇÇ), y=(a*x)^(1/2), y ÃàÀ¸·Î ȸÀü

ÀÛ¼ºÀÚ Uploader : chocopi ÀÛ¼ºÀÏ Upload Date: 2019-05-02º¯°æÀÏ Update Date: 2019-05-02Á¶È¸¼ö View : 315

y=(a*x)^(1/2) À» y ÃàÀ¸·Î ȸÀü½ÃŲ ȸÀüüÀÇ ºÎÇÇ V ¸¦ ±¸ÇÑ´Ù.

ȸÀüüÀÇ ¹ÝÁö¸§ÀÌ x °¡ µÈ´Ù.

x=y^2/a À̹ǷÎ,

V = ¡ò¥ðx^2 dy = ¡ò¥ð(y^2/a)^2 dy = (¥ð/a^2)¡òy^4 dy = ¥ð/(5a^2)*y^5

ÀûºÐ ±¸°£ÀÌ y1 ~ y2 ¶ó¸é,

V = ¥ð/(5a^2)*(y2^5 - y1^5)

ÀÌ µÈ´Ù.

ÀûºÐ ±¸°£À» x ·Î Ç¥ÇöÇϸé, y2 = (a*x2)^(1/2), y1 = (a*x1)^(1/2) À̹ǷÎ,

V = ¥ð*a^(1/2)/5*(x2^(5/2) - x1^(5/2))

ÀÌ µÈ´Ù.


*** Âü°í¹®Çå[References] ***

V = ¥ð*a^(1/2)/5*(x2^(5/2) - x1^(5/2))
ÀÛ¼ºÀÚÀÇ ¼ö½Ä±×¸²ÀÌ ¾ø½À´Ï´Ù. No picture for this formula
º¯¼ö¸í Variable º¯¼ö°ª Value º¯ ¼ö ¼³ ¸í Description of the variable


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