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tariel
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Homework Statement
Rolling Motion
Theoretically, a=⅔g sin θ suggests a nonlinear relation between a and θ. Since a linear graph is a very convenient method of testing theoretical equations, it is a good idea to first linearize a=⅔g sin θ. A simple way to do this is to assign a as the y-variable and (g sin θ) as the x-variable. If a=⅔g sin θ is linearized in this way, what are the expected values of the slope and y-intercept of the linear graph?
Plot a versus g sin θ. Perform a linear fit to the data, and determine the slope and the y-intercept. Compare the results with the expected values according to a=⅔g sin θ.
Homework Equations
a=⅔g sin θ
The Attempt at a Solution
I'm not exactly sure where to start! To be honest, I've never heard of 'linearizing' a graph before. Any insight into how to go about this would be greatly appreciated.
PS I made my graph from my data of acceleration and g sin θ, and it is indeed very linear. I'm just not sure how to relate it or how to find the 'expected' values?
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