The end of a horizontal oil tank is an ellipse (Figure 4) with equation (x 4) 2 (y 3) 2 1 (length in meters) Assume that the tank is filled with oil of density 900 kg m 3 (a) Calculate the total force F on the end of the tank when the tank is full (b) Would you expect the total force on the lower h...

a Solving the equation of the ellipse for x yields Therefore a horizontal strip of the e ...

The end of a horizontal oil tank is an ellipse (Figure 4) with equation (x/4) 2 +

Question:

The end of a horizontal oil tank is an ellipse (Figure 4) with equation (x/4)² + (y/3)² = 1 (length in meters). Assume that the tank is filled with oil of density 900 kg/m³.

(a) Calculate the total force F on the end of the tank when the tank is full.

(b) Would you expect the total force on the lower half of the tank to be greater than, less than, or equal to 1/2F? Explain. Then compute the force on the lower half exactly and confirm (or refute) your expectation.

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