The formula to calculate the spring constant is as follows:
k= -F/x
, where k is the spring constant. F is the force and x is the change in spring's length.
How do you find the mass and distance of a spring constant?
The formula to calculate the spring constant is as follows:
k= -F/x
, where k is the spring constant. F is the force and x is the change in spring's length.
How do you find the mass of a spring constant k?
W = kx
. W is the weight of the added mass. Therefore, the spring constant k is the slope of the straight line W versus x plot. Weight is mass times the acceleration of gravity or W = mg where g is about 980 cm/sec2.
How do you find the length of a spring?
To calculate spring wire length per coil, you must
subtract the wire diameter from the outer diameter
in order to get mean diameter. Once you have calculated mean diameter, multiply it by pi (3.14); this will give you the length of wire per coil.
How do you find the mass of an object in a spring?
(Here, the term “spring force” means the force exerted by the spring on the object attached to it. The object is often called the “mass.” Mathematically,
F
s
= – kx, where k is the spring constant
.
Does spring constant change with mass?
As you can see the restoring force constant i.e. the
spring constant does not depend on mass
and hence the resulting motion Does depend on mass. In this case the restoring force constant i.e mg itself depends on mass and in this case it turns out that the ratio of restoring force constant to mass is a constant.
Does the spring constant depend on how far the spring is stretched?
More generally, the spring constant of a
spring is inversely proportional to the length of the spring
, assuming we are talking about a spring of a particular material and thickness. … The larger the spring constant, the smaller the extension that a given force creates.
What is the value of the spring constant k?
Reasoning: An ideal spring obeys Hooke's law, F = -kx. Details of the calculation: k = |F/x| = (0.1 N)/ (0.035 m) =
2.85 N/m
.
What is meant by spring constant?
The spring constant, k, is
a measure of the stiffness of the spring
. It is different for different springs and materials. The larger the spring constant, the stiffer the spring and the more difficult it is to stretch.
What is natural length of the spring?
The natural length of the spring is
its length with no mass attached
. We assume that the spring obeys Hooke's law: If the length of the spring is changed by an amount ΔL from its natural length, then the spring exerts a force Fs=kΔL, where k is a positive number called the spring constant.
How far will the spring stretch?
The work done in stretching or compressing a spring is proportional to the square of the displacement. If we double the displacement, we do 4 times as much work. It takes 16 J to stretch the spring 20 cm from its unstretched length, so it takes 12 J to stretch it from
10 cm to 20 cm
.
What is the maximum stretch of the spring?
The elastic limit
is defined as the maximum stretch limit of the compression spring without taking a permanent set. It is a very common assumption that a compression spring would travel or can be compressed to its solid height.
What is the mass of the spring?
be the extension of the spring: that is,
the difference between the spring's actual length and its unstretched length
. can also be used as a coordinate to determine the instantaneous horizontal displacement of the mass. Figure 1: Mass on a spring.
What is the effective mass of a spring?
The effective mass of a spring which is uniform along its length (not tapered or distorted by use) is
equal to one-third of its actual mass
. For a non-uniform spring, the effective mass can vary slightly with the attached mass; we will disregard this small variation.
How do you find the period of a mass spring?
The period of a mass m on a spring of spring constant k can be calculated as
T=2π√mk T = 2 π m k .
