1. The problem statement, all variables and given/known data
On the afternoon of January 15, 1919, an unusually warm day in Boston, a 27.4mhigh, 27.4mdiameter cylindrical metal tank used for storing molasses ruptured. Molasses flooded into the streets in a 9mdeep stream, killing pedestrians and horses, and knocking down buildings. The molasses had a density of 1600 kg/ m^3
If the tank was full before the accident, what was the total outward force the molasses exerted on its sides? (Hint: Consider the outward force on a circular ring of the tank wall of width dy and at a depth y below the surface. Integrate to find the total outward force. Assume that before the tank ruptured, the pressure at the surface of the molasses was equal to the air pressure outside the tank.)
2. Relevant equations
F=PA p=p0+roh*g*h
3. The attempt at a solution
if F=PA then dF=dPdA and dA for a cylinder is pi*d (integration of pi*r^2) and for d=27.4, dA=86.1
i have F=86.1*int[101325pascals + (1600kg/m^3)(9.8m/s^2)hdh] from 0 to 27.4
integrating gives
86.1 (101325h+7840h^2) and plugging in 27.4 for h gives 7.46e^8 which is wrong... help?
