Pressure on an iron black

In summary, pressure is the force per unit area applied on an object and is typically measured using a pressure gauge. The pressure on an iron block can be affected by various factors such as the applied force, area, and material in contact. According to Boyle's Law, the pressure of a gas is inversely proportional to its volume at a constant temperature. Additionally, as the temperature of a gas increases, the pressure also increases due to the increased collisions between particles and the container walls, known as Charles' Law.
  • #1
zyphriss2
18
0
How much pressure is needed to compress the volume of an iron block by 0.16 \%? Express your answer in {\rm{N/m}}^2.

I know pressure is the same as stress, and that stress is force/csa. Could someone point me in the right direction.
 
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  • #2
Look up the relation between stress and strain.

Also, you will need the value of Young's modulus for iron.
 
  • #3


The pressure on an iron block can be calculated using the formula P = F/A, where P is pressure, F is force, and A is the cross-sectional area of the iron block. In order to compress the volume of the iron block by 0.16%, we can use the formula V2 = V1(1-ε), where V2 is the final volume, V1 is the initial volume, and ε is the strain (0.16%).

First, we need to determine the force required to compress the iron block. This can be done by using the formula F = kΔL, where k is the bulk modulus of iron and ΔL is the change in length due to compression. The bulk modulus of iron is approximately 170 GPa (gigapascals).

Next, we need to determine the cross-sectional area of the iron block. This can be calculated by dividing the volume by the length, as A = V/L.

Putting all these values together, we get:

P = (kΔL)/(V/L)

Substituting in the values for k, ΔL, and V, we get:

P = (170 GPa)(0.0016)(1 m^3)/(1 m^2)(1 m)

P = 272,000 N/m^2

Therefore, the pressure needed to compress the volume of an iron block by 0.16% is approximately 272,000 N/m^2. It is important to note that this is an approximate value and may vary depending on the specific properties of the iron block.
 

What is pressure?

Pressure is defined as the force per unit area applied on an object.

How is pressure measured?

Pressure is typically measured using a device called a pressure gauge, which can measure the force exerted by a fluid or gas on a surface.

What factors affect pressure on an iron block?

The pressure on an iron block can be affected by the force applied, the area of the block, and the type of material the block is in contact with.

What is the relationship between pressure and volume?

According to Boyle's Law, the pressure of a gas is inversely proportional to its volume at a constant temperature. This means that as the volume of a gas decreases, the pressure increases and vice versa.

How does temperature impact pressure on an iron block?

As the temperature of a gas increases, the particles within it gain more energy and collide with each other and the walls of the container more frequently, resulting in an increase in pressure. This is known as Charles' Law.

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