User:Maximilian van Grevenbroek/sandbox

= Slopeslide acceleration = a = g * (sin(x) - μ * cos(x))

This equation is used to calculate the acceleration of an object sliding down a straight slope in a certain angle.

Idea by Maximilian van Grevenbroek, worked out by Tiuri Konijnendijk,

^^ (I will update this too)*

How does the equation work?
This equation is used to calculate the acceleration of an object sliding down a straight slope in a certain angle. Normally to calculate the acceleration of the object sliding down a slope you would have to go through a number of steps before using a = Fres / m. Using the Slopeslide equation you skip the individual steps of calculating the triangle and the forces of the object of the slope.

By knowing the angle of the slope and the friction coefficient between the two materials you can get an idea of the acceleration. Do not forget that the object follows a sliding movement and The friction coefficient must be constant or the acceleration will differ. We know that when the angle is below the acceleration point, meaning the frictional force is greater than the force parallel to and down the slope (Fg// < Ffriction), the number can't be used as an answer. On the other hand, when the angle is equal to 90 degrees it means the slope is not interfering with the object, meaning the acceleration is just g, in this case 9,81m/s2.

a = g * (sin(x) - μ * cos(x))

How we created the equation
The equation was created on 12 January 2022, around 3 o'clock. (don't ask me how I remembered) After working on a little project at school calculating the acceleration of a lunchbox (the object) on a wooden plank (the slope) I theorised about how I could make this whole riddle easier. The idea was to be able to calculate the acceleration of an object on a slope in a certain angle, so I could easily calculate other objects without even mentioning their mass. The next day I asked my Physics exam coach if this would be possible. He showed me the following steps.

What we had
Fz// * sin(x) = y

Fz⊥ * cos(x) = y

g = 9,81 <- this had to come back into the equation

Fres = m * a

we made this into...
(the making of the equation still has to be writen down, I will edit this tomorrow 14 January 2022)*

Rules of the equation
This is heading is outmost important when using the equation. We may use this equation in the following conditions; 1) When there is no total positive force down the slope you will get a negative number which you can't use. It simply means the object is stationary. 2) If the angle of the slope reaches 90 degrees the answer will always be g. meaning the slope doesn't interfere with the object.