How do you find the equilibrium position of a spring?
The force exerted by a spring on objects attached to its ends is proportional to the spring’s change in length away from its equilibrium length and is always directed towards its equilibrium position. F = -kx.
How do you find the spring constant of a vertical spring?
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.
What is the distance the lower spring is stretched from its equilibrium length?
How do you calculate how much a spring is compressed?
The calculation of the amount of constant force it takes a coil compression spring to compress down to a loaded height is calculated by multiplying the force by the distance the coil compression spring is expected to travel. The unit of measurement for constant force is lbf/in which stands for pounds of force per inch.
How do you calculate spring compression?
First, you calculate the wire length of one coil (cL) by multiplying the mean diameter by pi (3.14 or π). Then, to calculate the total compression spring wire length (tL), you must multiply the wire length of one coil (cL) by the total amount of coils (N).
How do you calculate area 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.
Does spring constant change with mass?
Both springs have the same mass; only the spring constant (k) is different. A spring with a higher spring constant will have a shorter period….Hooke’s Law.
|Mass (kg)||Force on Spring (N)||Amount of Stretch (m)|
What affects the spring constant?
The spring constant can be determined based on four parameters: Wire diameter: the diameter of the wire comprising the spring. Coil diameter: the diameter of each coil, measuring the tightness of the coil. Free length: the length of the spring when at rest.
What force pulls the spring back up?
Gravity acts on you in the downward direction, and the spring in the scale pushes on you in the upward direction. The two forces have the same magnitude. Since the force the spring exerts on you is equal in magnitude to your weight, you exert a force equal to your weight on the spring, compressing it.
Does the spring constant change with gravity?
Gravity has nothing to do with the spring constant. It can only effect the net force on the spring depending on the orientation of the spring.
What happens to the spring constant when the spring is doubled?
Answer: For 2 springs in series, the spring constant is halved. Since m is doubled and k is halved, m/k will quadruple; and Ö(m/k) will double. Therefore, the period T will double. Hence period T = 2p Ö(m/k) is also constant.
How do you find the spring constant experimentally?
Experiment: Find the spring constant
- The spring constant of a spring can be found by carrying out an experiment.
- The unloaded length of a spring is measured.
- Slotted masses are added to the spring.
- Record each stretching force in N and the corresponding length of the spring.
Can a spring constant be negative?
The spring constant cannot be negative. The negative sign in Hooke’s law shows that the direction of the restoring force is opposite to the applied force.