The spring constant is a measure of stiffness - the ability to resist displacement under a load. It is denoted by K where
F = kx where f = load force and x = displacement
2k
It takes a larger force to compress or pull a spring the same distance as a spring with a smaller spring constant. This is shown in Hooke's law. x=F/k k---is the spring constant F---is the force applied to the spring x is the distance the spring has been compressed
The spring constant k can be calculated using the formula T = 2π√(m/k), where T is the period, m is the mass, and k is the spring constant. Rearranging the formula to solve for k, we have k = (4π²m) / T². Plugging in the values (m = 0.125 kg and T = 3.56 s), we get k ≈ 4.93 N/m.
F = - k x In this equation, x is the distance that the spring has been stretched or compressed away from its equilibrium position F is the restoring force exerted by the spring. k is the spring constant.
To find the spring constant from a graph of force versus displacement, you can calculate the slope of the line. The spring constant is equal to the slope of the line, which represents the relationship between force and displacement. The formula for the spring constant is k F/x, where k is the spring constant, F is the force applied, and x is the displacement. By determining the slope of the line on the graph, you can find the spring constant.
The period formula for a spring is T 2(m/k), where T is the period, m is the mass attached to the spring, and k is the spring constant.
The formula for calculating the angular frequency () of a system in terms of the mass (m) and the spring constant (k) is (k/m).
The formula for the compression of a spring is: Compression (F L) / k Where: F is the force applied to the spring L is the length of the spring when compressed k is the spring constant To calculate the compression of a spring, you need to multiply the force applied to the spring by the length of the spring when compressed, and then divide the result by the spring constant.
To find the spring constant, we can use Hooke's Law which states that F = kx, where F is the force applied, k is the spring constant, and x is the displacement from the equilibrium position. Plugging in the values: 60 N = k * 1.5 m, we can solve for the spring constant k = 40 N/m.
angular frequency = square root (K/m) wher k is spring constant and m = mass linear frequency = 1/2pi times square root (K/m)
It is Newtons per metre.
The value of the spring constant ''k'' in a spring-mass system would remain constant regardless of the mass of the trapped gas, as it only depends on the stiffness of the spring and not on the mass attached to it.