how to find spring constant with mass

\u00a9 2023 wikiHow, Inc. All rights reserved. The spring constant is a property of the spring itself that shows the linear relationship between the force and the displacement. How to Calculate a Spring Constant Using Hooke's Law For a mass attached to a spring, the period of oscillation is equal to 2 (m/k). The first graph is k=g/slope, the second graph 4pi^2/slope. They help keep Picture this: you wake up on a Monday morning ready to conquer the week. proportionality constant k is specific for each spring. Frequency of the resulting SHM. The extra term, k , is the spring constant. This is mainly the cross-section area, as rubber bands with a greater cross-sectional area can bear greater applied forces than those with smaller cross-section areas. Ignoring the minus sign in Hookes law (since the direction doesnt matter for calculating the value of the spring constant) and dividing by the displacement, x, gives: Using the elastic potential energy formula is a similarly straightforward process, but it doesnt lend itself as well to a simple experiment. Variables in Hooke's Law Equation. Hookes law is valid as long as the elastic material youre dealing with stays elastic that is, it stays within its elastic limit. T = 2 (m/k). a. 2 will be used to find the spring constant in spring 2. Looking only at the magnitudes and therefore omitting the negative sign, you get\r\n\r\n\r\n\r\nTime to plug in the numbers:\r\n\r\n\r\n\r\nThe springs used in the shock absorbers must have spring constants of at least 4,900 newtons per meter. The value of this constant depends on the qualities of the specific spring, and this can be directly derived from the properties of the spring . where F equals force, m equals the mass of the object, and g equals the acceleration due to gravity, 9.8 meters per second2. Record each stretching force in N . 1. F is the force and x is the change in spring's length. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Where F is the force exerted on the spring, k is the spring constant and x is the displacement. They inform you that the car will have a mass of 1,000 kilograms, and you have four shock absorbers, each 0.5 meters long, to work with. Dummies has always stood for taking on complex concepts and making them easy to understand. The Period of a Mass-Spring System calculator computes the period () of a mass-spring system based on the spring constant and the mass. You can see that if the spring isnt stretched or compressed, it exerts no force on the ball. A force of 16 N is required to stretch a spring a distance of 40 . Which fitt principle variable is changed when you increase the length of the physical activity, A nurse is providing teaching to a client who has hypothyroidism and is taking levothyroxine. You can use Hooke's law calculator to find the spring constant, too. He's written about science for several websites including eHow UK and WiseGeek, mainly covering physics and astronomy. Thus we get three equations: First equate equations 2 and 3 and . If it were so, the spring would elongate to infinity. Then the applied force is 28N for a 0.7 m displacement. As always, the choice of the positive direction is always ultimately arbitrary (you can set the axes to run in any direction you like, and the physics works in exactly the same way), but in this case, the negative sign is a reminder that the force is a restoring force. This article has been viewed 6,469 times. which when substituted into the motion equation gives: = k m = k m = 1.2 . Plug in 0.5 for m and if you know what the spring constant k is you can solve I draw line of best fit and determine the slope. Assuming these shock absorbers use springs, each one has to support a mass of at least 250 kilograms, which weighs the following:\r\n\r\nF = mg = (250 kg)(9.8 m/s²) = 2,450 N\r\n\r\nwhere F equals force, m equals the mass of the object, and g equals the acceleration due to gravity, 9.8 meters per second². The mass of the carts themselves, without the masses on top of them, is 500 grams. F= m*x = 5*20*10^-2 = 1N. If you think about what this means in terms of units, or inspect the Hookes law formula, you can see that the spring constant has units of force over distance, so in SI units, newtons/meter. Explain mathematic questions One plus one is two. He was a contributing editor at PC Magazine and was on the faculty at both MIT and Cornell. A mass on a spring has a single resonant frequency determined by its spring constant k and the mass m. Using Hooke's law and neglecting damping and the mass of. He was a contributing editor at PC Magazine and was on the faculty at both MIT and Cornell. W is the weight of the added mass. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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