A roll of aluminum foil from the grocery store is 12 inches wide by 75 feet long (if you unroll it). If the foil is 0.006 inches thick, and the specific weight of aluminum is 26460 N/m3 ,how much does the roll of aluminum foil weigh?Group of answer choices142884 N4900 N0.036 N28 N
Question
A roll of aluminum foil from the grocery store is 12 inches wide by 75 feet long (if you unroll it). If the foil is 0.006 inches thick, and the specific weight of aluminum is 26460 N/m3 ,how much does the roll of aluminum foil weigh?Group of answer choices142884 N4900 N0.036 N28 N
Solution
To solve this problem, we need to first convert all the measurements to the same unit. In this case, we'll convert everything to meters.
1 inch = 0.0254 meters 1 foot = 0.3048 meters
So, the dimensions of the aluminum foil roll in meters are:
Width = 12 inches = 12 * 0.0254 = 0.3048 meters Length = 75 feet = 75 * 0.3048 = 22.86 meters Thickness = 0.006 inches = 0.006 * 0.0254 = 0.0001524 meters
The volume of the aluminum foil can be calculated using the formula for the volume of a rectangular prism, which is length * width * height (or thickness, in this case).
Volume = 0.3048 meters * 22.86 meters * 0.0001524 meters = 1.06 m^3
The weight of the aluminum foil can be calculated by multiplying the volume by the specific weight.
Weight = Volume * Specific weight = 1.06 m^3 * 26460 N/m^3 = 28067.6 N
So, the weight of the roll of aluminum foil is approximately 28067.6 N. However, this answer is not in the provided choices. There might be a mistake in the problem or the answer choices.
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