Atrough is filled with a liquid of density 865 kg/m3. the ends of the trough are equilateral triangles with sides 10 m long and vertex at the bottom. find the hydrostatic force on one end of the trough. (use 9.8 m/s2 for the acceleration due to gravity.)

Explanation:

Since each side of the triangular end is of equilateral triangle with side length a = 10 m

so height of the triangle h = a sin60

h = 10sin60 = 8.66 m

now we will take a small strip of width L and thickness dy at a depth of y from top

so here width L is given as

now the force on this small strip is given as

now the total force on the triangular part

now the limits of y is from y = 0 to y = 8.66 m

so we have

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