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Raised water level, when an object put in a rectangular tank

ÀÛ¼ºÀÚ Uploader : billy ÀÛ¼ºÀÏ Upload Date: 2019-10-25º¯°æÀÏ Update Date: 2020-01-15Á¶È¸¼ö View : 260

Water is filled by the height h (m) in a tank of width (a) and length (b). When an object of density ¥ñ (kg/m^3) and volume V (m^3) is put in, the raised water depth H (m) in the tank is obtained as follows.

When the object is placed in the tank, the submerged volume Vs of the object is :

¥ñ*g*V = ¥ñw*g*Vs, (¥ñ¡Â¥ñw)

¥ñw : density of water (1000 kg/m^3)
g : gravity acceleration

Vs = V*¥ñ/¥ñw

Thus, the raised water level H is :

H = h + Vs/(a*b)
   = h + V*(¥ñ/¥ñw)/(a*b)


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H = h + (¥ñ/¥ñw)*V/(a*b)
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