Question 1047238: Good Morning! Hopefully this fits into the category of Proportions. We have a real situation where we're hoping to fit a heavy object into a given space. Because of smaller solid barriers at the entry of the space the object (a microwave oven) must be placed into the space length-wise (rather than width-wise). The question is whether or not, once into the space, the object can be twisted 90 degrees into it's desired orientation. The height of both the space & object along with the depth of the space do not play into consideration of the problem.
Space: 23.5 inches wide
Object: 21.9 inches wide & 17.35 inches deep
Thank you for tackling this query, John
Found 2 solutions by Theo, KMST:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! as far as i can see, you won't be able to turn it once it's in the space.
that's because the length and width is 21.9 inches and 17.35 inches which makes the diagonal equal to 27.93 inches which is greater than 23.5 inch width of the space.
i made a mockup to confirm my calculations were correct and it confirmed what the calculation indiated.
as you try to turn the microwave in the space, your diagonal measurement will prevent it from completing the turn.
this assumes that the microwave is horizontal when it enters the space and has to remain horizontal as you turn it.
Answer by KMST(5328)  (Show Source):
You can put this solution on YOUR website! I cannot imagine how this can be real, or how the depth of the space would not play into consideration.
Maybe you are trying to store that microwave on a shelf at the back of a narrow walk-in closet.
but here is how I interpret the question.
From above, the entry space, and the space where the object will be turned around look like this:
Now, let me add the desired location for that microwave, and the microwave entering the constricted space.
Once that red rectangle enters the space that is 23.5 inches wide,
you would like to turn it around.
However, at all times the four corners of that rectangle will be on a circle with a diameter as long as the diagonal of that rectangle.
According to the Pythagorean theorem, the length of that diagonal, in inches, is
 .
so you need a 28 inch wide space to turn that around.
NOTE 1:
If that microwave had a really incredibly short height, say 8.5 inches,
you could enter it on its back (back down, front up).
Then your red rectangle would be 8.5 inches by 21.9 inches,
with a diagonal measuring almost 23.5 inches.
After its length is along the width of the closet, then you could "log-roll" it to have the back against the back of the space.
NOTE 2:
If the floor plan is not exactly like my drawing,
your easiest solution would be to separately draw to scale on graph paper ( or grid paper)
1) your floor plan, and
2) the microwave (top view and front view).
Cutting out the microwave shapes, you can play with them on the floor plan drawing to see if you can fit it through.
|
|
|
