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Consider two water tanks filled with water. The first tank is 8 m high and is stationary, while the second tank is 2 m high and is moving upward with an acceleration of 3.5 m/s2. Which tank will have a higher pressure at the bottom

Respuesta :

Answer:

The first tank has a higher pressure at the bottom because it has  more depth

Explanation:

height of first tank = 8 m

height of second tank = 2 m

acceleration of second tank = 3.5 m/[tex]s^{2}[/tex]

first calculate the pressure of the first tank :

pressure = pgh --- equation 1

where p = 1000 (pressure constant)

g = 9.81 ( acceleration due to gravity )

h = height

back to equation 1

pressure = 1000 * 9.81 * 8 = 78480 N/[tex]m^{2}[/tex]

for the second tank

using equation 1

pressure = pgh

g = 9.91 + 3.5

h = 2 m

since the second tank has an acceleration we have to add it to the acceleration due to gravity so

pressure = 1000 * ( 9.81 + 3.5 ) * 2

               = 1000 * 13.31 * 2

               = 26620 N/[tex]m^{2}[/tex]