[問題] 高中表面張力疑問
題目是這樣敘述:
肥皂膜之表面張力T,內外半徑分別為R1、R2,則肥皂膜內外壓力差Pi-P0為何?
解答的解法如下:
設肥皂水之壓力P
外層:P0*π*R2^2+T*2πR2=P*πR2^2
內層:P*π*R1^2+T*2πR1=Pi*πR1^2
解聯立得:
Pi-P0=2T(1/R1 + 1/R2)
解答的寫法有個部分讓我非常不解:
肥皂水層內的水作用面積應該只有(πR2^2 - πR1^2),但題目外層列試卻寫成πR2^2
內層列試卻有辦法作用。
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