What is the Spring Stiffness?

In summary, the conversation discusses the calculation of the effective stiffness of the interatomic bond in a long thin bar of iron, as well as the time it takes for a disturbance to travel through the bar. The first part involves hanging a 234 kg mass to the bottom of a 2.4 m long iron bar and observing a length increase of 1.22 cm, with a density of 7.87 grams per cubic centimeter. The second part involves striking one end of the bar with a hammer and determining the time it takes for the disturbance to reach a microphone at the other end. The equations used for solving these problems are ks = F/x and Young's Modulus.
  • #1
ohheytai
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What is the Spring Stiffness?

1. One mole of iron (6.02x10^23 atoms) has a mass of 56 grams, and its density is 7.87 grams per cubic centimeter. You have a long thin bar of iron, 2.4 m long, with a square cross section, 0.15 cm on a side.

You hang the rod vertically and attach a 234 kg mass to the bottom, and you observe that the bar becomes 1.22 cm longer. Calculate the effective stiffness of the interatomic bond, modeled as a "spring":

Next you remove the 234 kg mass, place the rod horizontally, and strike one end with a hammer. How much time t will elapse before a microphone at the other end of the bar will detect a disturbance?

Homework Equations


Youngs Modulus? or Hookes law?

The Attempt at a Solution


ks = F/x
and i tried using youngs modulus doing it the long way and i got .0046 still wrong
 
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  • #2


You can solve it by ks=F/x, but what values are you using for F and x? And regarding part 2, at what speed does the vibrating wave travel?
 

What is the Spring Stiffness?

The spring stiffness refers to the measure of how much force is required to stretch or compress a spring by a certain distance. It is a property of a spring that determines its ability to resist deformation.

How is the Spring Stiffness measured?

The spring stiffness is typically measured in units of force per unit length, such as N/m or lbs/in. It can be calculated by dividing the applied force by the displacement of the spring.

What factors can affect the Spring Stiffness?

The spring stiffness can be affected by various factors such as the material the spring is made of, the diameter and length of the spring, and the number of coils in the spring. Temperature and environmental conditions can also impact the spring stiffness.

What is the relationship between Spring Stiffness and Spring Constant?

The spring stiffness and spring constant are directly related. The spring constant, also known as the force constant, is a measure of the amount of force needed to stretch or compress a spring by a certain distance. It is equal to the spring stiffness divided by the number of coils in the spring.

Why is understanding Spring Stiffness important?

Understanding the spring stiffness is important in various fields such as engineering, physics, and materials science. It allows for the design and selection of the appropriate spring for a specific application. Additionally, it can also help in predicting the behavior of a spring under different conditions.

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