Weight of 7 ft Water Column w/ Radius 1.1m

AI Thread Summary
To calculate the weight of a 7 ft high water column with a radius of 1.1 m, first convert the height to meters, resulting in 2.1336 m. The volume is calculated using the formula Volume = π * r^2 * h, yielding approximately 8.1064 m^3. The mass of the water is found by multiplying the volume by the water's density of 1000 kg/m^3, resulting in about 8106.4 kg. To find the weight in Newtons, multiply the mass by the acceleration due to gravity (approximately 9.81 m/s^2), leading to a final weight of about 79,700 N. This calculation highlights the importance of distinguishing between mass and weight in physics problems.
missashley
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Homework Statement


What is the weight of a column of water 7 ft high with a radius of 1.1m?
The density of the water is 1000 kg/m/m/m
Answer in units of N.

Homework Equations



Volume = pi * r^2 * h
7 ft = 2.1336 m
Weight = Volume * Density

The Attempt at a Solution


Volume = 3.14 * 1.1^2 * 2.1336 = 8.1064 m^3

Weight = 8.1064 m^3 * 1000 kg/m^3
Weight = 8106.39984 kg

1 Newton = kg * m/s2

i'm stuck here
 
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Weight = Volume * Density

Your formula is not quite right.

It should be: Mass = Volume * Density

Mass is expressed in kilograms.

The weight of an object is equal to its mass multiplied by g, where g is the acceleration due to gravity (9.81 m/s^2). Weight is expressed in Newtons.
 
missashley said:
Weight = 8106.39984 kg

1 Newton = kg * m/s2

As stated above, take this as mass and multiply it by gravity, which will either be 9.81 or 10 depending on your level.
 
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