How do I convert a gradient to degrees?

Hello...





I am curious as to how I convert a gradient (in the form 1:10) into degrees.





For example, if a road is to have a slope of 1:10, then how to I convert this into degrees?





Thanks for all answersHow do I convert a gradient to degrees?
On the roads, the gradient or grade is the vertical rise divided by the horizontal run. So the angle from the horizontal is the arctangent of the (rise divided by the run).


For trains, the gradient is the verical rise divided by the length of the slope, so the angle from the horizontal is the arcsin of the (rise divided by the slope).


For small angles, the difference is negligible.How do I convert a gradient to degrees?
Very simple: The gradient given in the form a:b means simply that the RATIO of the vertical component to the horizontal component is a: b or a/b. Therefore, the tangent of the angle made by this slope to the horizontal is also given by the ration a/b. To find the angle in degrees, all you have to do is read the value arc(tan) of a/b or in your example 1/10 = 0.1


which gives an angle of 5.71 deg
Simply find the arctangent (inverse tangent) of the ratio. E.g. for your question, find arctan(1/10). This is written as tan^-1 on your calculator.
A gradient of 1 : 10 means that as you travel 10 units along the road you rise 1 unit vertically. From basic trigonometry, this means that sin(a) = 1/10 where a is the angle to the horizontal.





So to convert gradient g to degrees





a = arcsin(1/g)





(you can use any scientific calculator, where arcsin may be called inv sin or sin^-1).
Sorry Rabbit, Freddie is definitely right, its inverse tangent

How to calculate the Hydraulic gradient (i) in a school laboratory?

In order to measure the hydraulic conductivity of water I need to calculate the Hydraulic gradient (i), but dunno how. I know the formula i = 螖H / l, but what is H, I, and how to measure them in a school laboratory?





Please help me ASAP!! thanks!How to calculate the Hydraulic gradient (i) in a school laboratory?
Cheat off the paper of the nearest egg-head, silly. That's how I did it.





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An ';egg-head'; is a smart nerd. The cheat part should be easy to understand.

How does a river's gradient affect its ability to erode land?

gradient= slant, degree of inclination. please give some sources, :).How does a river's gradient affect its ability to erode land?
The higher the gradient, the faster the movement of water, the more the erosion ; Direct relationships.





http://answers.yahoo.com/question/index?鈥?/a>





Gradient


The gradient of a stream is a critical factor in determining its character, and is entirely determined by its base level of erosion. The base level of erosion is the point at which the stream either enters the ocean, a lake or pond, or enters a stretch in which it has a much lower gradient, and may be specifically applied to any particular stretch of a stream.


In geologic terms, the stream will erode down through its bed to achieve the base level of erosion throughout its course. If this base level is low, then the stream will rapidly cut through underlying strata and have a steep gradient, and if the base level is relatively high, then the stream will form a flood plain and meanders.





http://en.wikipedia.org/wiki/Stream

face creams

plumping lip gloss

powder

cooking oil

What happens to the gradient when an organism undergoes discrimination training?

it becomes irritated that it has to do this stupid training and in its own mind starts to resent what it was trained not to discriminate

How to calculate the gradient of a line?

for my Science coursework we need to calculate the line of the graphs we have drawn. So how do you do it? xHow to calculate the gradient of a line?
eqn of a line





y=mx+b





y and x are variables


b is the point the line crosses the y axis


m is the gradient and is calculated by any two points on the line (x1,y1) and (x2,y2) by:





m=(y2-y1)/(x2-x1)How to calculate the gradient of a line?
__________________________________





The Two Point formula of a line is probably your best bet in this situation. All you need to do is to find two points that are easy to identify and use this formula:





(y-y₂)/(x-x₂) = (y₁-y₂)/(x₁-x₂) for points (x₁,y₁) and (x₂,y₂)





For example:


If your two points are


P₁(7,5) and P₂(6,-2) then





(y+2)/(x-6) = (5+2)/(7-6)


(y+2)/(x-6) = 7/1


.......... y+2 = 7(x-6)


.......... y+2 = 7x-42


.............. y = 7x -44





______________________________________…


NOTE


The right hand side of the formula is the slope of the line:


(y₁-y₂)/(x₁-x₂) = slope





Also, y = 7x -44 is in the Slope-Intercept


form y=mx+b where m=slope and b=y-intercept.


So y = 7x -44 has slope 7 and crosses the y=axis at -44.





______________________________________…
the difference of the 2 y divided bu the difference of the 2x





for example:





the 1st spot: (2,1)


the 2nd spot: (3,4)





subtract the Ys: 1 - 4


subtract the Xs: 2 - 3





the differences: y: -3


x: -1


= -3/-1 = 3





the gradient is 3
gradient line is also called a slope.


it's usually represented by m [not sure but that what i remember from my lesson]


if you want to see it here's the link.





http://www.mathsisfun.com/gradient.html

Why does the concentration gradient affect the rate of diffusion?

I know that the higher the conc. gradient, the higher the rate of diffusion, but why?Why does the concentration gradient affect the rate of diffusion?
because the rate at which a variable quantity , such as temperature or pressure changes in value The curve that represents that rate undulates.Why does the concentration gradient affect the rate of diffusion?
a high conc is like a high pressure zone..take a balloon for example..suppose u fill it up with air..the pressure inside it increases.as soon as you loosen your fingers at it opening the air gushes out, because air pressure outside the balloon is lower than that whats inside..so in case of balloon the pressure gradient governs the air movement..





similarly, in fluids, its the conc gradient.





the conc gradient is corollary to pressure gradient

What is the slope(gradient) of a curve in 3dimensional geometry?

For example the slope in cartesian plane is nothing but tanA where A is the angle made by a straight line with respect to X-axis. Slope at any poing on the curve is given by drawing a tangent at that point and the slope of the tangent gives the slope of the curve at that point. But in space(3d geometry) how can we draw a tangent to a curve and with respect to which axis?What is the slope(gradient) of a curve in 3dimensional geometry?
the answer is pie over 2x plus 7