Finding the Spring Constant: A Simple Calculation

In summary, the formula for calculating spring constant is k = F/x, where k is the spring constant in Newtons per meter (N/m), F is the applied force in Newtons (N), and x is the displacement of the spring in meters (m). To determine the displacement of a spring, you can measure the change in length from its relaxed state to its stretched state. Spring constant can change depending on factors such as the material and design of the spring, and it is typically measured in units of Newtons per meter (N/m). Temperature can also affect spring constant, with higher temperatures causing a decrease in stiffness and lower temperatures resulting in an increase in stiffness.
  • #1
rola99
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0

Homework Statement



A spring having a free height of 4.25 inches is only 3.15 inches high when it supports a load of five pounds. What is the spring constant?

Homework Equations



k = (w2-w1)/(x2-x1)

The Attempt at a Solution



K = (5-0)/(4.25-3.15) = 4.55 lb/in

the book gives the right answer as 36.4lb/in

did I do anything wrong?
 
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  • #2
Your answer looks right to me.
 

Related to Finding the Spring Constant: A Simple Calculation

1. What is the formula for calculating spring constant?

The formula for calculating spring constant, also known as spring stiffness, is k = F/x, where k is the spring constant in Newtons per meter (N/m), F is the applied force in Newtons (N), and x is the displacement of the spring in meters (m).

2. How do I determine the displacement of a spring?

To determine the displacement of a spring, you can measure the change in length of the spring from its relaxed state to its stretched state. This can be done by placing a ruler or measuring tape next to the spring and recording the difference in length.

3. Can spring constant change?

Yes, spring constant can change depending on the material and design of the spring. Factors that can affect the spring constant include the thickness and length of the spring, as well as the material it is made of.

4. What units is spring constant typically measured in?

Spring constant is typically measured in Newtons per meter (N/m). However, it can also be measured in other units such as pounds-force per inch (lbf/in) or kilogram-force per centimeter (kgf/cm).

5. How does temperature affect spring constant?

Temperature can affect the spring constant of a material. As temperature increases, the atoms in a material vibrate more, causing the material to expand and become less stiff. This can result in a decrease in spring constant. Conversely, as temperature decreases, the material becomes more rigid and the spring constant may increase.

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