Question

a) (Only need the middle answer) A trapezoidal plate with bases 6 m and 12 m is partially submerged vertically in water so that the top is 3 m above the surface and the bottom is 3 m below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s² for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m³.) ?g ?_3^6 (9x - x²) dx ? 308700 N b) (Only need step 2) A triangular plate with base 5 m and height 6 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. Step 1 By similar triangles, we have wi / 5 = xi* / 6, which means that the area of the ith strip is 5/6 xi* ?x. Step 2 Using density ? (rho) and gravitational constant g, then the pressure on the strip is xi*.

          a) (Only need the middle answer)
A trapezoidal plate with bases 6 m and 12 m is partially submerged vertically in water so that the top is 3 m above the surface and the bottom is 3 m below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s² for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m³.)
?g ?_3^6 (9x - x²) dx ? 308700 N
b) (Only need step 2)
A triangular plate with base 5 m and height 6 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it.
Step 1
By similar triangles, we have wi / 5 = xi* / 6, which means that the area of the ith strip is 5/6 xi* ?x.
Step 2
Using density ? (rho) and gravitational constant g, then the pressure on the strip is xi*.

a) (Only need the middle answer)
A trapezoidal plate with bases 6 m and 12 m is partially submerged vertically in water so that the top is 3 m above the surface and the bottom is 3 m below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s² for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m³.)
?g ?3^6 (9x - x²) dx ? 308700 N
b) (Only need step 2)
A triangular plate with base 5 m and height 6 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it.
Step 1
By similar triangles, we have wi / 5 = xi* / 6, which means that the area of the ith strip is 5/6 xi* ?x.
Step 2
Using density ? (rho) and gravitational constant g, then the pressure on the strip is xi*.

Added by Jose Maria N.

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