12/12/2023 0 Comments Displacement physics calculatorHow do you calculate spring constant GCSE?Įxample: You have a 0.5 m long metal coil with a spring constant of 3 N/m and you want to know how much force it will take to stretch it by 50 mm. In general, a high spring constant indicates a stiffer spring, whereas a low spring constant indicates that the spring will be more flexible. The law states that for elastic materials, the Force is proportional to the displacement (x). Hooke’s Law Calculator is used to calculate the amount of force (F) between two objects or surfaces. In other words, if you pull on your length of spring and measure how much force it takes to stretch it a certain amount (you can use a Vernier caliper to measure displacements), you can then calculate what your spring constant would be using this formula. Where F is the force exerted by the spring, m is the mass, K is the spring constant and x is the displacement of the spring. The formula for finding the spring constant, K, is: In simple cases the spring constant does not change, however, if analyzed more closely, the spring constant can change depending on other factors such as temperature and whether the spring is in tension or compression.ĭisplacement can be either positive or negative depending on whether the spring is in compression or tension.įinding the spring constant is a matter of basic physics. The spring constant 10 N*m.Īnalyze the results for accuracy and apply what’s been learned to future problems. ![]() Finally, enter all of the information into our formula.For this example we will say the displacement is -1 meter, meaning the spring is in compression. For this example, we will assume 10 Newtons.Īs is the case with the force, when springs are involved this displacement is almost always measured directly or given in the problem. Sometimes it’s also provided in a problem. In most spring applications this is done directly via a gauge. In this case, we will first measure the force acting on the spring. Next, we must measure our first variable.To do this, we simply divide both sides by -x. First, the formula for Hooke’s law must be manipulated to solve for k, the spring constant.Displacement can be positive if the spring is being pulled in tension, or negative if the spring is being compressed. This is to take into account the direction of displacement. ![]() Taking another look at the equation above it can be seen that there is a negative sign in the equation. The force and displacement are proportional so if graphed against one another, it would yield a straight line. The higher the elasticity, the lower the spring constant. That is, elasticity is directly related to the force constant. This value is also a measure of elasticity. The higher the spring constant, the harder it is to compress or stretch it. Spring Constant DefinitionĪ spring constant is a measure of a spring’s ability to resist compression and elongation. To calculate a spring constant, divide the spring force by the spring displacement. ![]()
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