Answer to Question #123237 in Classical Mechanics for Ashley

Question

Find the total force on the side of a water-filled tube 2.34 cm high with a radius of 0.300 cm.
1 : 0.506 N
2 : 0.0506 N
3 : 3.41 N
4 : 1.03 N

Answer 1

$$dA=2\pi rdh$$

$$dF=\rho gh dA=2\pi r\rho ghdh$$

$$F=\pi rH^2\rho g\\=\pi (0.003)(0.0234)^2(1000)(9.8)=0.0506\ N$$

Answer: 2 : 0.0506 N