A 3-kg plastic tank that has a volume


A 3-kg plastic tank that has a volume of 0.2\,\text{m}^3 is filled with liquid water. Assuming the density of water is 1000 kg/\text{m}^2, determine the weight of the combined system.

Solution:

Show me the final answer↓

We know that the density of water is 1000 kg/\text{m}^2. We can use the following equation to figure out the weight of the combined system.

m=\rho V

(Where m is mass, \rho is density, and V is volume)

 

Substitute the values we know:

m=\rho V

m=(1000)(0.2)

m=200 kg

 

The combined mass is the mass of the tank plus the water.

m_{total}=3+200

m_{total}=203 kg

 

The weight can then be calculated using the following equation:

W=mg

(Where W is weight, m is mass and g is force of gravity)

 

Substitute the values we know:

W=mg

W=(203)(9.81)

W=1991.43 N

 

Final Answer:

W=1991.43 N

 

This question can be found in Thermodynamics, an Engineering Approach, 8th edition, Chapter 1, question 1-10.

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