What is the spring constant for the spring?

In summary, the spring constant, also known as the force constant, is a measure of the stiffness of a spring and is represented by the letter k. It can be calculated by dividing the applied force by the displacement of the spring and is affected by factors such as material, thickness, and external forces. The spring constant can change depending on these factors and is important in determining the relationship between applied force and displacement, as well as in various applications such as designing and analyzing springs.
  • #1
songminho
10
0

Homework Statement


A mass 2.74 kg is hung from a spring. The mass is pulled down a short distance and released, it oscillates with a frequency f = 1.972 Hz.

What is the spring constant for the spring?

Homework Equations


f=1/2pi*sqrt(k/m)

The Attempt at a Solution


1.972 = 1/2pi*sqrt(k/2.74)
Rearranged:
k = (1.972/ 1/2pi)^2 x 2.74
= 4.3184 N/m

But this answer is wrong? Can someone please show me how this is so? Thank you
 
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  • #2
What's the definition of Hertz?
 
  • #3
songminho said:
k = (1.972/ 1/2pi)^2 x 2.74
Redo your calculation a bit more carefully.
 

Related to What is the spring constant for the spring?

What is the spring constant for the spring?

The spring constant, also known as the force constant, is a measure of the stiffness of a spring. It is represented by the letter k and is measured in units of newtons per meter (N/m). In simpler terms, it is the amount of force required to stretch or compress a spring by one unit of length.

How do you calculate the spring constant?

The spring constant can be calculated by dividing the applied force by the displacement (change in length) of the spring. This can be represented by the formula k = F/x, where F is the applied force and x is the displacement of the spring.

What factors affect the spring constant?

The spring constant is affected by various factors such as the material and thickness of the spring, the number of coils, and the diameter of the wire used. Temperature and any external forces acting on the spring can also affect its stiffness.

Can the spring constant change?

Yes, the spring constant can change depending on the factors mentioned above. For example, a spring made of a more rigid material will have a higher spring constant than a spring made of a more flexible material. The spring constant can also change if the spring is stretched beyond its elastic limit.

Why is the spring constant important?

The spring constant is an important property of a spring as it determines the relationship between the applied force and the resulting displacement of the spring. It is used in various applications such as designing springs for specific purposes, calculating the force needed for a spring to function properly, and analyzing the behavior of springs in different situations.

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