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2009-10
2009-10-31 11:06:53
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°íµù´ë µè´ø ¼öÇÐ? ¹°¸®? ´Ù ±î¸Ô¾î¼...
y=10cos(2ÆÄÀÌt+10ÆÄÀÌ)¿¡¼
ÁøÆø, Áøµ¿¼ö, À§»ó, radian requency¸¦ ±¸ÇÐ ±×¸®´Â ¹æ¹ý Á» ¾Ë·Á ÁÖ¼¼¿ä.
¾Æ´Â °Å¸¸ÀÌ¶óµµ ¾Ë·ÁÁÖ¼¼¿ä.
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2009-10
cos x ±×·¡ÇÁ°¡
ÁÖ±â 2 pi, ÃÖ´ë 1 ÃÖ¼Ò -1 ÀÌ´Ï
10 cos 2x ´Â
ÁÖ±â pi , ÃÖ´ë 10 ÃÖ¼Ò -10 À̱¸¿ä.
10 cos ( 2x + 10 pi ) ´Â
ÁÖ±â pi , ÃÖ´ë 10 ÃÖ¼Ò -10 Àº ¶È°°Àºµ¥ x = 0 ºÎÅÍ ½ÃÀÛÀ̶ó¸é 10 cos ( 2x ) ÀÇ ±×·¡ÇÁ¸¦ -10 pi ºÎÅÍ ±×¸®½Ã¸é µË´Ï´Ù.
Áøµ¿¼ö (frequency) ´Â 1 / T À̴ϱî 1 / pi [Hz] °¡ µÇ°Ú³×¿ä. À§»óÇÏ°í ¶óµð¾È ¾î¼±¸´Â Àß ¸ð¸£°Ú±º¿ä ^^;
cos x ±×·¡ÇÁ°¡ ÁÖ±â 2 pi, ÃÖ´ë 1 ÃÖ¼Ò -1 ÀÌ´Ï 10 cos 2x ´Â ÁÖ±â pi , ÃÖ´ë 10 ÃÖ¼Ò -10 À̱¸¿ä. 10 cos ( 2x + 10 pi ) ´Â ÁÖ±â pi , ÃÖ´ë 10 ÃÖ¼Ò -10 Àº ¶È°°Àºµ¥ x = 0 ºÎÅÍ ½ÃÀÛÀ̶ó¸é 10 cos ( 2x ) ÀÇ ±×·¡ÇÁ¸¦ -10 pi ºÎÅÍ ±×¸®½Ã¸é µË´Ï´Ù. Áøµ¿¼ö (frequency) ´Â 1 / T À̴ϱî 1 / pi [Hz] °¡ µÇ°Ú³×¿ä. À§»óÇÏ°í ¶óµð¾È ¾î¼±¸´Â Àß ¸ð¸£°Ú±º¿ä ^^;
ALpha
2009-10
2*pi*t + 10*pi °¡ À§»ó ¾Æ´Ñ°¡¿ë ?
±×¸®°í radian requency ´Â ¾Æ¸¶ radian frequency °°Àºµ¥ °¢Áøµ¿¼ö¶ó°í
ÁֱⰡ 2pi´Ï±î T·Î ³ª´©¸é 2pi / (1/pi) ´Ï±î 2pi^2 .. °¡ °¢Áøµ¿¼öÀΰ¡¿ä ?
¸Â´ÂÁö Ʋ¸®´ÂÁö ¸ô¶ó¿ä .. ÈëÈë
2*pi*t + 10*pi °¡ À§»ó ¾Æ´Ñ°¡¿ë ? ±×¸®°í radian requency ´Â ¾Æ¸¶ radian frequency °°Àºµ¥ °¢Áøµ¿¼ö¶ó°í ÁֱⰡ 2pi´Ï±î T·Î ³ª´©¸é 2pi / (1/pi) ´Ï±î 2pi^2 .. °¡ °¢Áøµ¿¼öÀΰ¡¿ä ? ¸Â´ÂÁö Ʋ¸®´ÂÁö ¸ô¶ó¿ä .. ÈëÈë
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2009-10
ÁøÆø(amplitude): 10
Áøµ¿¼ö(frequency): (2*pi)/(2*pi)=1
radian frequency: 2*pi*Áøµ¿¼ö=2*pi
À§»ó(phase): °©ÀÚ±â Á¤È®ÇÏ°Ô »ý°¢ÀÌ ¾È³ª³×¿ä ¹®Á¦¿¡¼´Â 10*pi °¡ ´äÀÌ µÉ°Í °°½À´Ï´Ù.
±×¸²Àº 10¿¡¼ ½ÃÀÛÇؼ -10À¸·Î ³»·Á°¡´Â cos±×·¡ÇÁ¸¦ ±×´ë·Î ±×¸®½Ã¸é µË´Ï´Ù.
10*pi¸é ÁÖ±âÀÇ ¹è¼ö¸¸Å À̵¿À̱⠶§¹®¿¡ ÆÄÇü¿¡´Â º¯È°¡ ¾ø½À´Ï´Ù.
½Ã°£ 0.25À϶§ 0, 0.5À϶§ -10À» ±×¸®½Ã°í 1À϶§ ´Ù½Ã ÁøÆø10À» ±×¸®½Ã¸é µË´Ï´Ù.
ÁøÆø(amplitude): 10 Áøµ¿¼ö(frequency): (2*pi)/(2*pi)=1 radian frequency: 2*pi*Áøµ¿¼ö=2*pi À§»ó(phase): °©ÀÚ±â Á¤È®ÇÏ°Ô »ý°¢ÀÌ ¾È³ª³×¿ä ¹®Á¦¿¡¼´Â 10*pi °¡ ´äÀÌ µÉ°Í °°½À´Ï´Ù. ±×¸²Àº 10¿¡¼ ½ÃÀÛÇؼ -10À¸·Î ³»·Á°¡´Â cos±×·¡ÇÁ¸¦ ±×´ë·Î ±×¸®½Ã¸é µË´Ï´Ù. 10*pi¸é ÁÖ±âÀÇ ¹è¼ö¸¸Å À̵¿À̱⠶§¹®¿¡ ÆÄÇü¿¡´Â º¯È°¡ ¾ø½À´Ï´Ù. ½Ã°£ 0.25À϶§ 0, 0.5À϶§ -10À» ±×¸®½Ã°í 1À϶§ ´Ù½Ã ÁøÆø10À» ±×¸®½Ã¸é µË´Ï´Ù.
¸ù¸ù
2009-11
wolfram alpah ¿¡ °¡¼ ¼ö½Ä³Ö¾îº¸¼¼¿ä.
±×·¡ÇÁ±îÁö ´Ù ³ª¿É´Ï´Ù
http://www.wolframalpha.com/input/?i=y%3D10cos%282
*pi*t%2B10*pi%29
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wolfram alpah ¿¡ °¡¼ ¼ö½Ä³Ö¾îº¸¼¼¿ä. ±×·¡ÇÁ±îÁö ´Ù ³ª¿É´Ï´Ù http://www.wolframalpha.com/input/?i=y%3D10cos%282*pi*t%2B10*pi%29 ¹é¹®ÀÌ ºÒ¿©ÀÏ°ß
ÀåÅÂÁÖ
2009-11
http://www.walterzorn.com/grapher/grapher_e.htm
±èÇöÈ£´ÔÀÌ ÃßõÇÑ »çÀÌÆ®¿Í ºñ½ÁÇÑ »çÀÌÆ®ÀÔ´Ï´Ù.
http://www.walterzorn.com/grapher/grapher_e.htm ±èÇöÈ£´ÔÀÌ ÃßõÇÑ »çÀÌÆ®¿Í ºñ½ÁÇÑ »çÀÌÆ®ÀÔ´Ï´Ù.
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ÁÖ±â 2 pi, ÃÖ´ë 1 ÃÖ¼Ò -1 ÀÌ´Ï
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ÁÖ±â pi , ÃÖ´ë 10 ÃÖ¼Ò -10 À̱¸¿ä.
10 cos ( 2x + 10 pi ) ´Â
ÁÖ±â pi , ÃÖ´ë 10 ÃÖ¼Ò -10 Àº ¶È°°Àºµ¥ x = 0 ºÎÅÍ ½ÃÀÛÀ̶ó¸é 10 cos ( 2x ) ÀÇ ±×·¡ÇÁ¸¦ -10 pi ºÎÅÍ ±×¸®½Ã¸é µË´Ï´Ù.
Áøµ¿¼ö (frequency) ´Â 1 / T À̴ϱî 1 / pi [Hz] °¡ µÇ°Ú³×¿ä. À§»óÇÏ°í ¶óµð¾È ¾î¼±¸´Â Àß ¸ð¸£°Ú±º¿ä ^^;
±×¸®°í radian requency ´Â ¾Æ¸¶ radian frequency °°Àºµ¥ °¢Áøµ¿¼ö¶ó°í
ÁֱⰡ 2pi´Ï±î T·Î ³ª´©¸é 2pi / (1/pi) ´Ï±î 2pi^2 .. °¡ °¢Áøµ¿¼öÀΰ¡¿ä ?
¸Â´ÂÁö Ʋ¸®´ÂÁö ¸ô¶ó¿ä .. ÈëÈë
Áøµ¿¼ö(frequency): (2*pi)/(2*pi)=1
radian frequency: 2*pi*Áøµ¿¼ö=2*pi
À§»ó(phase): °©ÀÚ±â Á¤È®ÇÏ°Ô »ý°¢ÀÌ ¾È³ª³×¿ä ¹®Á¦¿¡¼´Â 10*pi °¡ ´äÀÌ µÉ°Í °°½À´Ï´Ù.
±×¸²Àº 10¿¡¼ ½ÃÀÛÇؼ -10À¸·Î ³»·Á°¡´Â cos±×·¡ÇÁ¸¦ ±×´ë·Î ±×¸®½Ã¸é µË´Ï´Ù.
10*pi¸é ÁÖ±âÀÇ ¹è¼ö¸¸Å À̵¿À̱⠶§¹®¿¡ ÆÄÇü¿¡´Â º¯È°¡ ¾ø½À´Ï´Ù.
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http://www.wolframalpha.com/input/?i=y%3D10cos%282*pi*t%2B10*pi%29
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