Spring Constant

## Question:

Hi! I am a high-school student in the US. I would like to know if
a spring's mass affects its spring constant. I would really
appreciate it if you reply as soon as possible.

Thank you!!!
## Answer:

In dealing with a coil spring the spring constant will depend on
the stiffness of the spring material, the thickness of the wire
from which the spring is wound and, diameter of the turns of the
coil, the number of turns per unit length and the overall length
of the spring.
The mass of the spring will depend on the density of the
material, the thickness of the wire from which the spring is
wound, the diameter of the turns of the coil, the number of turns
per meter of spring length and the overall length of the
spring.

Since the mass and the spring constant have some factors in
common, they will in general not be independent of each other,
but the spring constant may not vary in any simple way with the
mass of a spring.

More exactly, the spring constant will probably change for
springs of different mass, made out of the same material. If the
change in mass is due only to a longer spring, the spring
constant will decrease. Long springs tend to be softer than short
ones. If the change in mass is due only to thicker wire, the
spring constant will increase. Springs made of fat material are
stiffer than those made of thin material. If the change in mass
is due to some combination of changed wire and changed length, we
may not be able to say. It might even be possible to construct
two springs of different mass with the same spring constant.

This information is brought to you by M. Casco Associates, a
company dedicated to helping humankind reach the stars through
understanding how the universe works. My name is James D. Jones.
If I can be of more help, please let me know.