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Max Pressure of a Tank of Fluid in Motion

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A tank 4m long, 3m high, 3m wide is closed except for a small hole at the right top. It contains oil (S=0.83) to a depth of 2m (static). The tank is uniformly accelerated to the right at 19.62 m/s^2. What is the max pressure intensity in the tank. Please explain in detail.

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Solution Summary

The solution explains how to find the maximum pressure in an oil tank in motion step-by-step with clear explanations and an illustrative diagram.

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Because the tank has an acceleration a (= 19.62 /s^2) towards right, the oil will experience a pseudo force towards left
Fp = m*a
where m is the mass of oil
volume of oil (V) = l*b*h = 4*3*2 = 24 m^3
mass of oil = d*V = 0.83*10^3 * 24 = 19.92*10^3 kg
where d is the density of oil
d = 0.83 * 10^3 kg/m^3
the weight of oil ...

Solution provided by:
Amrit Lal Ahuja, PhD (IP)
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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