Wednesday, December 23, 2009

How to calculate force of a falling object?

when calculating the size of the surface have something to do with it because of the force being concentrated. i need help trying to calculate the amount of force of a 308g object with an impact area of 1inch x 1inch from 6ft.How to calculate force of a falling object?
The best way to discover the way to answer these questions is to look at the units used after the thing you are trying to find. How is force measured? Well if they want the answer in lbs/square-foot then you know right off there will be some conversions. You will need to convert your answer from grams per square inch to lbs per square foot. Don't let the conversions keep you from seeing the problem.





You have mass m


You have initial velocity v1


You have acceleration a


You can find final velocity v2


You have distance d





Look at this site. It has a plug in function once you convert the units to metric and you can play with the numbers.How to calculate force of a falling object?
Inorder to get the force you need one more bit of information. Either the time it took for the object to stop moving downward or you need the distance that the impact area warped downward.





What i mean by time to stop is:


Imagine the object falling were landing on a pillow. You intuiteively know that the pillow will get indented (the object will still be moving) to a certain point and then either stay indented or spring back. That time to get to that maximum indention is the time i refer to. Same thing happens to the ground when something lands on it...it is a very very short time...but it exist.





One you have that information than plug into:





Energy = m*g*h





Energy = F*d you have distance and energy and you are solving for F.





Or use the eqation for impulse.


m*v = F*t you have the mass, velocity and time...solve for force





Note: For the distance warped...you have to keep in mind that the object it self warps as well. That distnat will have to be included.





Since its near impossible to measure the distance warped you may want to assume its a completly elastic collsion, Calculate the height of the bounce, then calculate the time using the distance equation. Use the impulse equation with the new values to get force.





This is very approximate though...but...it practical
what's up with mixed units? thanks google:


1 (inch squared) = 0.00064516 meters squared


6 feet = 1.8288 meters





force = mass*acceleration = .308kilogram*9.81m/s^2 = 3.02N = 3.0N





the only thing you can calculated with just a force and an area is


pressure=pascal=N/m^2=3N/.00064516 = 4650Pa





maybe the explanation is different than what you're trying to find but the force of the impact doesn't have much to do with the impact area without a sort of spring constant for the material. i know with a rubber ball it'd squish down and the pressure wouldn't be distributed as a point but as a circular area...
S=(P/A)


S=stress


P=force


A=Area


Calculate the force of the object, you know gravity blah,blah,blah, and divide it by the surface area of the impact site.


Yeah, im bad at math, but I try.


Hope this helps.
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