# Determine the spring constant k

Note that the spring constant $k = \frac{ea_0}{l_0}$ where e is the young's modulus of the material (constant, at least in one direction), $a_0$ is the unstretched cross sectional area, and $l_0$ is the unstretched length of the ideal spring. After watching this video, you will be able to explain what hooke's law is and use the equation for hooke's law to solve problems a short quiz. Determine the spring constant of a vertical spiral spring in simple harmonic motion using hookes law extracts from this document introduction physics 20ib. Answer to 1 calculate the spring constant, k and the uncertainty in the spring constant k resulting from the slope s and the unc. Calculate the spring force constant (k), spring stretch length (x) and spring potential energy (u) as per hooke’s law and find the elastic potential energy by applying the formulas.

1: determine the spring constant, k , of spring 1, by using hooke’s law take three different measurements (since 3 masses) and do three calculations and average your. This calculator will determine the spring rate constant related to a compression spring from basic geometry and material data input default units are shownin inches, etc however si (metric) can be used. Use our online spring calculator to calculate your spring constant k determine the correct spring constant units and find out the max safe load on your spring design. In physics, you can examine how much potential and kinetic energy is stored in a spring when you compress or stretch it the work you do compressing or stretching the spring must go into the energy stored in the spring that energy is called elastic potential energy and is equal to the force, f, times [. F is the force in newtons, n k is the 'spring constant' in newtons per metre, n/m e is the extension in metres, m this equation works as long as the elastic limit (the limit of proportionality) is not exceeded if a spring is stretched too much, for example, it will not return to its original length when the load is removed. Problem : what is the period of oscillation of a mass of 40 kg on a spring with constant k = 10 n/m we have derived that t = 2πto find the period of oscillation we simply plug into this equation.

A spring with a spring constant k = 50n/m has an unstretched length of 20cm find the work required to stretch the spring to a length of 30 cm w = j. 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 using this relationship weights are computed for the masses in the table above. Utc physics 1030l: spring constant 68 5 in the fourth column on the data sheet, calculate the total displacement of the last coil of the spring. Experiment 6 the spring constant determination purpose: one of the goals of science is the development of physical and mathematical models to describe physical systems by using observational and experimental data.

That is: f = kx, where k is a constant factor characteristic of the spring: its stiffness, and x is small compared to the total possible deformation of the spring the law is named after 17th-century british physicist robert hooke he. Mr h should use a spring with a low spring constant (k) the spring constant (k in the hooke's law equation) is the ratio of the f/x if this ratio is low, then there will be a relatively large displacement for any given f value being displaced furthest from the equilibrium position will set the spring into a relatively high amplitude vibrational motion. Where f is the restoring force in newtons (n), k is the spring constant in (n/m) and d is the elongation (the stretched amount) in meyers (m) the restoring force is in the opposite direction to its elongation, as shown by the. The relationship in eq 92 allows us to determine the spring constant k when m, g,andx are known or can be measured this is the ﬁrst way that k will determined.

A researcher is using hooke's law (f= -kx) to determine the spring constant of a spring the spring is stretched by a force of 200 +- 05n and the length the spring changes is measured with a standard ruler to be 25cm. How can the answer be improved.

## Determine the spring constant k

To determine the spring constant of three different springs varied in size from small, medium and large. The following chart and accompanying graph depict an experiment to determine the spring constant for a baby bouncer what is the spring constant of the spring being tested for the baby bouncer.

• To establish the accuracy of our assumption of simple harmonic motion for a spring, we need to determine the actual value of the spring constant k suspend a 100g.
• Enter value, select unit and click on calculate result will be displayed.
• Hooke’s law purpose: in this lab we will measure the spring constant of two springs using two di erent methods first, we will plot the force the spring exerts vs the distance the spring is stretched and second, we will measure the period.
• Physics 110 spring 2006 springs – their solutions 1 when a 40kg mass is hung vertically on a light spring that obeys hooke’s law, the spring stretches 25cm.
• In this activity, you will use hooke's law to graphically determine the spring constant of a helical spring you will not be using the dual-range force sensor or the.

Spring constant formula is used to find the force applied, displacement and spring constant it is expressed in newton per meter (n/m. Physics lab mechanics / spring constant mechanics / 1 1 determining the spring constant k based on elongation theory according to hooke’s law the restoring force of an ideal spring is proportional to its elongation x: f = k where x = l – l0, l is the actual length of the spring, l0 is its length in relaxed state k is the spring constant. Spring constant is the amount of force required to move the spring a set amount of distance the set amount of distance is determined by your units of measurement and your spring type for example if you are calculating the spring constant of a compression spring using english measurements your value would be pounds of. A 25-kg object is attached to a spring of force constant k = 45 kn/m the spring is stretched 10 cm from equilibrium and released what is the kinetic energy of the mass-spring system when the mass is 50 cm from its equilibrium position. The spring constant describes the relationship between the force applied to the spring and the extension of the spring from its equilibrium state this relationship is described by hooke's law, f = -kx, where f represents the force on the springs, x represents the extension of the spring from its equilibrium length and k represents the spring constant.

Determine the spring constant k
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