Is there a formula for measuring pressure from g-force?

Question

I'm sure there is a formula to calculate... pressure from g-force? I'll give an example. Say if you have a weight and you move it at a certain velocity and hit something with it. The g force will multiply the weight and create more pressure than the weight.

Take a hammer for example. If you lay it on a nail... won't do much. But hit the nail with a velocity and the force it more. Also greater the weight or/and velocity, the more the pressure.

Is there a formula to calculate the pressure with the weight of the object and the velocity or whatever the formula has?

Answer 1

What you're talking about is called 'impulse' and there's no simple formula to calculate it.  It depends on the kinetic energy of the impactor and the material composition and shape of each object.  How quickly the impactor slows down depends on the energy absorbed by the target (and sometimes the impactor).

Answer 2

Pressure = force/area, so you'll need the area, and the force.

Area can be measured easy enough.

Force can come from many different calculations. You could use impulse, Newton's 2nd law, momentum, kinetic energy... there's a lot of ways to get to the force applied through measurements and/or calculations.

I would probably use Work = force*distance and kinetic energy = 1/2 mass * velocity^2. change in KE = Work, so there's your mass, velocity, and then you'd just measure how far the nail moved to calculate the work.

If you had the acceleration of the hammer (this is where you get to G force), you could use Newton's 2nd law. F = m*a, knowing the mass of the hammer, and how many g-forces (multiplied by g - 9.81 m/s^2), you could find the force.