MHB Help finding a scaled down length? Easy for smart people, unlike me :-)

  • Thread starter Thread starter matheus
  • Start date Start date
  • Tags Tags
    Length
AI Thread Summary
To calculate the length of the side of a roof on a scaled-down model, the original dimensions must be converted to the same unit. The real house has a central support pole height of 10 meters and a roof side length of 14.67 meters. When scaling down to a model with a pole height of 20 cm, the scaling factor is 1/50. Therefore, the side length of the roof on the model would be approximately 29.34 cm after conversion and scaling. This method ensures accurate representation in the model.
matheus
Messages
19
Reaction score
0
Hi guys,

I need to figure out the length of the side of a roof on a scaled down model.

The picture below shows what I’m trying to calculate. The real house has a central support pole and it is 10 metres high, with length of the side of the roof at 14.67… metres.

If I was to make a scaled down model of this house where the central support pole is 20 cm, how would I calculate the side roof on the model?

As they say a picture tells a thousand words so I drew one up:

23rrgiu.jpg


I have no idea how to calculate that length so if anyone can shed some light I’d be most grateful :cool:

Cheers!
 
Mathematics news on Phys.org
matheus said:
Hi guys,

I need to figure out the length of the side of a roof on a scaled down model.

The picture below shows what I’m trying to calculate. The real house has a central support pole and it is 10 metres high, with length of the side of the roof at 14.67… metres.

If I was to make a scaled down model of this house where the central support pole is 20 cm, how would I calculate the side roof on the model?

As they say a picture tells a thousand words so I drew one up:
I have no idea how to calculate that length so if anyone can shed some light I’d be most grateful :cool:

Cheers!

10m = 1000cm. Notice that 1000/50 = 20, so the scaling factor is 1/50.

So what would the length have to be on your scale diagram?
 
Hi ProveIt.

Many thanks for your helpful reply :D

Ok so given what you pointed out, I would say that I need to convert the length in meters to centimeters and then divide by 50, which would give the model length to be around 29.34cm?
 
Thread 'Video on imaginary numbers and some queries'
Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Thread 'Unit Circle Double Angle Derivations'
Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...

Similar threads

Replies
2
Views
3K
Replies
2
Views
4K
Replies
2
Views
2K
Replies
5
Views
3K
Replies
5
Views
3K
Back
Top