標題:
Hydrostatic force -Integration
發問:
A large tank is designed with ends in the shape of the region between the curves y=x^2/2 and y=10 measured in feet. Find the hydrostatic force (in lb) on one end of the tank if it is filled to a depth of 8 ft with gasoline. Assume the gasoline's weight density is 42.0 lb/ft^3 (In British units, "weight... 顯示更多 A large tank is designed with ends in the shape of the region between the curves y=x^2/2 and y=10 measured in feet. Find the hydrostatic force (in lb) on one end of the tank if it is filled to a depth of 8 ft with gasoline. Assume the gasoline's weight density is 42.0 lb/ft^3 (In British units, "weight density" is the equivalent of (rho*g) in SI units.)
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最佳解答:
y=x^2/2 => x^2=2ydV=πx^2*dyV=∫2πydy=πy^2.....=64πW=D*V=42*64π=2588π=8445(Lb)
其他解答:
You can ask your teacher tomorrow whn you go to school!
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