Weight of 7 ft Water Column w/ Radius 1.1m

Now the mass is in kg, and the gravity is in m/s^2. Multiply them together to get the weight in N. In summary, the weight of a column of water 7 ft high with a radius of 1.1m is 8106.39984 kg, which can be converted to Newtons by multiplying it by the acceleration due to gravity.
  • #1
missashley
34
0

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
 
Last edited:
Physics news on Phys.org
  • #2
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.
 
  • #3
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.
 

FAQ: Weight of 7 ft Water Column w/ Radius 1.1m

What is the weight of a 7 ft water column with a radius of 1.1m?

The weight of a 7 ft water column with a radius of 1.1m can be calculated using the formula w = πr²hρ, where w is the weight, π is the constant pi, r is the radius, h is the height (in this case 7 ft), and ρ is the density of water. Assuming a density of 1000 kg/m³ for water, the weight would be approximately 22,877.6 lbs.

How does the weight of the water column change if the radius is increased?

If the radius of the water column is increased, the weight will also increase. This is because the weight is directly proportional to the radius squared. This means that a small increase in radius can result in a significant increase in weight.

What is the significance of a 7 ft water column in scientific experiments?

In scientific experiments, a 7 ft water column may be used to measure pressure or as a reference for measuring other quantities. It may also be used to demonstrate the effects of hydrostatic pressure or to simulate certain conditions found in nature.

How does the weight of the water column affect the objects at the bottom of it?

The weight of the water column exerts a downward force on any objects at the bottom of it. This force is known as hydrostatic pressure and can cause objects to sink or move if they are not buoyant enough to counteract it.

Can the weight of a 7 ft water column be converted to other units?

Yes, the weight of a 7 ft water column can be converted to other units such as kilograms or Newtons. This can be done using conversion factors and the density of water. It is important to note that the conversion will vary depending on the density of water used in the calculation.

Similar threads

Replies
12
Views
826
Replies
11
Views
2K
Replies
11
Views
2K
Replies
5
Views
1K
Replies
15
Views
1K
Back
Top