Step 2: Understanding the Basics...i.e. Algebra
In order for this project to be effective the cans must ride down the Second Level shelf to the Lower Level shelf. Both of these shelves are at opposing angles to each other. These angles are predetermined by you, with consideration paid to the amount of space available. I chose a 2" high ramp for both shelves due to the size and weight of the can I was using. You could use as little as a 1" high ramp but I would advise against anything less.
The slope of the ramp is very important because this value will be used throughout the entire project. Using my Lower Level shelf's length (14") I calculated the value of the ramp's slope as such:
Slope is the difference in two points on the Y-axis divided by the difference in two points on the X-axis (m = Y1 - Y2 / X1 - X2 ). If I were to plot the two points on a graph I would have points 1 at 14,2 and points 2 at 7,1. Using the formula I arrived at a 1" change in height for every 7" in length.
Next you need to identify the values of the following variables:
W = width of the can
L = length of the can
X = depth of your available space
Y = (X – W) or depth – width
Z = 2 x W + height of ramps 1 and 2
The can I used for this project was a Campbells® Chunky soup can measured at 5”L x 3.5”W. The space I had available in my pantry is 12”H, 14”D, and 42”W. Allow for about a 0.25" overage for the can's dimensions for the thickness of the corrugated cardboard and clearance to roll.
You may use the charts provided if you desire. My project's information is also included as an example.
The slope of the ramp is very important because this value will be used throughout the entire project. Using my Lower Level shelf's length (14") I calculated the value of the ramp's slope as such:
Slope is the difference in two points on the Y-axis divided by the difference in two points on the X-axis (m = Y1 - Y2 / X1 - X2 ). If I were to plot the two points on a graph I would have points 1 at 14,2 and points 2 at 7,1. Using the formula I arrived at a 1" change in height for every 7" in length.
Next you need to identify the values of the following variables:
W = width of the can
L = length of the can
X = depth of your available space
Y = (X – W) or depth – width
Z = 2 x W + height of ramps 1 and 2
The can I used for this project was a Campbells® Chunky soup can measured at 5”L x 3.5”W. The space I had available in my pantry is 12”H, 14”D, and 42”W. Allow for about a 0.25" overage for the can's dimensions for the thickness of the corrugated cardboard and clearance to roll.
You may use the charts provided if you desire. My project's information is also included as an example.
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