- #1

JCL

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## Homework Statement

Consider a

trough with triangular ends, as pictured below, where the tank is 10 feet long, the top is 5

feet wide, and the tank is 4 feet deep. Say that the trough is full to within 1 foot of the top with water

of weight density 62.4 pounds/ft^3. How much force does the water exert against one of the triangular

ends?

## Homework Equations

F=pgxa The given picture has the axis rotated 90 degrees clockwise

## The Attempt at a Solution

I took the integral from 0 to 3 of p * g * x * a dx

so I got integral of 0 to 3 of (62.4 lbs/ft^3)(g)(4-x)(10(5-1.25x) dx

which can be written as 624g integral (4-x)(5-1.25x) dx

is this set up correct?