How Much Force Is Needed for One Million Atmospheres with Diamond Tip Presses?

If this is a Math problem, use whatever units you or your teacher prefers.In summary, diamond tip presses can create pressures in excess of one million atmospheres and have a diameter of one millimeter. To create a pressure of one million atmospheres, a force of 1.79 x 10^4 pounds or 80000 Newtons must be applied to the tips. The units used for force may vary depending on the problem context.
  • #1
JWHooper

Homework Statement


Diamond tip presses are now capable of creating pressures in excess of one million atmospheres. Suppose the tips of the presses were circles with an diameter of one millimeter. How much force must be applied to the tips to create a pressure of one million atmospheres?


Homework Equations


P = F/A, where P is the pressure, F is the force and A is the area.
r is the radius in my solution.


The Attempt at a Solution


P = 10^6 atm, r = 1.97 x 10^-2 in
P = (10^6)(14.7 lb/in^2) = 1.47 x 10^7 lb/in^2 (unit conversion)
A = (pi)(1.97 x 10^(-2))^2 = 1.22 x 10^(-3) in^2

F = PA = (1.47 x 10^7 lb/in^2)(1.22 x 10^(-3) in^2) = 1.79 x 10^4 lb
Did I do anything wrong? I just want to make sure.

J.
 
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  • #2
JWHooper said:

Homework Statement


Diamond tip presses are now capable of creating pressures in excess of one million atmospheres. Suppose the tips of the presses were circles with an diameter of one millimeter. How much force must be applied to the tips to create a pressure of one million atmospheres?


Homework Equations


P = F/A, where P is the pressure, F is the force and A is the area.
r is the radius in my solution.


The Attempt at a Solution


P = 10^6 atm, r = 1.97 x 10^-2 in
P = (10^6)(14.7 lb/in^2) = 1.47 x 10^7 lb/in^2 (unit conversion)
A = (pi)(1.97 x 10^(-2))^2 = 1.22 x 10^(-3) in^2

F = PA = (1.47 x 10^7 lb/in^2)(1.22 x 10^(-3) in^2) = 1.79 x 10^4 lb
Did I do anything wrong? I just want to make sure.

J.
Looks good. But you might want to convert the force to Newtons since the diameter was given in millimeters (personally, I like it in pounds).
 
  • #3
PhanthomJay said:
Looks good. But you might want to convert the force to Newtons since the diameter was given in millimeters (personally, I like it in pounds).
So, it doesn't really matter if pounds is used or Newtons is used?
 
  • #4
JWHooper said:
So, it doesn't really matter if pounds is used or Newtons is used?
The USA, Myanmar, and Liberia use pounds as the standard unit of force. Everywhere else in the world, the Newton (SI system) is the standard unit of force. Since the problem noted the diameter in mm, it may be looking for Newtons of force, not pounds, because it's bad enough working with 2 systems, let alone mixing the two. Being from the States, I like pounds, because I get a good 'feel' for how much 18000 pounds is. When you convert pounds to Newtons, 18000 pounds is about 80000 Newtons. I wouldn't have a good feel for how much 80000N is without first converting it to pounds. If this is a Physics problem where you are asked to use SI, use Newtons.
 

FAQ: How Much Force Is Needed for One Million Atmospheres with Diamond Tip Presses?

What is a diamond tip press and how does it work?

A diamond tip press is a scientific instrument used to create high pressures and temperatures in a small area. It works by applying force on a small diamond anvil, which then squeezes a sample placed between two diamond tips. This creates intense pressure, allowing scientists to study the properties of materials under extreme conditions.

How are diamond tip presses used in physics research?

Diamond tip presses are used in physics research to study the behavior of materials under extreme conditions, such as high pressures and temperatures. They can also be used to create new materials with unique properties, and to understand the properties of materials found in the Earth's core.

What are the advantages of using diamond tip presses in physics research?

Diamond tip presses offer several advantages in physics research, such as the ability to create high pressures and temperatures in a small area, the ability to study materials under extreme conditions, and the ability to create new materials with unique properties. They also allow for precise control and measurement of pressure, making them useful in a variety of experiments.

What types of materials can be studied using diamond tip presses?

Diamond tip presses can be used to study a wide range of materials, including metals, minerals, and even biological materials. They can also be used to study the phase transitions of materials, such as from solid to liquid, and to investigate the properties of materials at high pressures and temperatures.

Are there any limitations to using diamond tip presses in physics research?

While diamond tip presses offer many benefits, there are also some limitations to their use in physics research. One limitation is that they can only create high pressures in a small area, so they are not suitable for studying large samples. Additionally, the extreme conditions created by diamond tip presses may not accurately reflect the conditions found in nature, so caution must be taken when interpreting results.

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