Converting in/fr taper to degree taper

[ive]

Hi everyone.

Can someone help me convert in/ft to a degree taper.

I’m interested to know what 1/8” per foot is in degree taper?

Thank you.

 

[Evilunclegrimace]

https://www.easycalculation.com/shapes/taper-calculator.php

 

[ive]

0.010416 taper per foot?

 

[American Locomotive]

You can use trig to solve this.

If you have a slope that goes down 1/8" over 1 foot, you would take the inverse tangent of .125/12.

In which case, the "angle" of the slope is 0.5968 degrees with respect to horizontal.

 

[ive]

Thanks locksmith.

I understand your formula.

What do you mean with respect to the horizontal?

 

[Steve in UT]

I did a quick calculation. Seems to agree with American Locomotive. Here is how I did it:
a 24" circle (1' radius) is 75.3982236862" in circumference (24*Pi.) Divide that by 360 for .2094395102"/deg. Divide .125 by .2094395102 gives you the answer .5968310367 deg

Edit: for fun I went back and carried out a few more decimal places.

 

[ive]

Thank you gentlemen

Thank you for the math lesson as well.

 

[American Locomotive]

Thanks locksmith.

I understand your formula.

What do you mean with respect to the horizontal?

If you had a perfectly horizontal line, your slope would be at an angle of 0.5968 degrees to that horizontal line.