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spring constant from period squared vs mass | Bread Market Cafe

[closed]. This was something that could not be avoided; at that amplitude the spring pulled the hook up too quickly which caused the loss of contact. Okay, if you hang a mass from a spring and let it oscillate. Trouble determining the slope of the graph! Calculate the distance covered. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. It it possible that i may need to find the gradient and use a formula to find out what the spring constant is. Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. They seem to describe the same thing. "Altering" data points is dishonest and bad science, as is making data up where you have none. Is it ok to place 220V AC traces on my Arduino PCB? If you have not confirmed that the period is zero when the load is zero then you should not use $(0, 0)$ as an assumed data point. How to limit population growth in a utopia? The $x$ axis intercept will give you the value of $\mu$ while the slope gives you the value of $k$. I like graphs with straight lines. It's easy! This confirms that is the correct trend and the slope can be used to determine the spring constant or mass, given one unknown. 2. What LEGO piece is this arc with ball joint? Is nuclear pasta or neutron star crust iron stable outside of neutron stars? I draw line of best fit and determine the slope. Still have questions? Dan Dan . Why my diagonal dots become 6 dots rather than 3? Copyright © ScienceForums.Net Do the data from Part 1 verify Hooke’s Law? A Bitcoin locking script to force a certain payment to the receiver? You can calculate spring constant from A. Can/should I use (0, 0) as an assumed data point? Scientists solve the mystery behind an enigmatic organelle, the pyrenoid, A hint of new physics in polarized radiation from the early universe, Scientists discover potential method to starve the bacteria that cause tuberculosis. 1. The value of C was determined to be 0.694, which is closest to the whole number fraction of 1/3. The unit of angular frequency is ... you will have three points to make a graph of period vs. It only takes a minute to sign up. "A mass of $10$ kg bounces up and down on a spring. Use x-axis limits of -0.100 kg to +0.600 kg. In practice springs do have mass. The period is given by: The period remained nearly the same throughout every trial, which was to be expected. Recall from Newton that F = ma. But I am investigating how the change in mass affects the period so I think it should matter? So, do this experiment with 5 or 6 different masses and record the mass (in kg) and the period (in s). Usually the load will be much greater than that of the spring ($m \gg \mu$), so $\mu$ could be ignored. and solve the differential equation assuming $x(t)=A\cos(\omega t+\phi)$ with $\omega,\phi$ constants. How would my graph of T2 vs mass change if the spring constant was doubled. Now make a plot of the period (vertical axis) versus the mass (horizontal axis). Disclosure: As an Amazon Associate I earn from qualifying purchases. Is there a difference in the percent differences? m\ddot x=-k x For example, if there is energy loss then the amplitude of motion will decay but the period will remain constant; the graph of $T^2$ vs $m$ is still linear. You can adjust your cookie settings, otherwise we'll assume you're okay to continue. You do not need the graph to pass through the origin in order to find $k$. $$-\omega^2 x=-\frac{k}{m} x$$ What if the P-Value is less than 0.05, but the test statistic is also less than the critical value? How is the period T expected to depend upon the amplitude A? The square of the period versus mass for each trial was plotted and a linear fit was taken. What is the benefit of having FIPS hardware-level encryption on a drive when you can use Veracrypt instead? The first graph is measuring displacement vs mass. lLift the mass a few cm upwardsand gently release to set the mass oscillating. Finding the slope and intercept of a graph, Using the slope of the graph, write an equation for this proportion, Measuring the strength of the earths magnetic feild using the slope of a graph. 