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# Math behind Snowboarding

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## Mr.B ted

on 2 December 2015

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#### Transcript of Math behind Snowboarding

Thanks For Watching :)
What is Snowboarding
Vertical Drop of a Mountain
- vertical drop of a mountain indicates the steepness of the mountain.
-indicates the amount of land you will cover.
-it's the distance from the top of mountain to base To calculate the vertical drop you first -find overall elevation of mountain and subtract elevation of base.
Lift Capacity of a Mountain
-total amount of people that ride all the chair lifts in one hour.
-add up the amount of people that ride all the chair lifts
-to calculate the number of people who ride in one day, you multiply this number by the amount of hours the mountain is open.
Slope of a Mountain
- slope of a mountain tell you how steep the mountain is from point A to point B.
- slope tells you the ratio of vertical change, (or rise) to the horizontal change,(or run) of a line or line segment.
- use the side of a mountain and pick two points on X and Y axis and put them into the formula y2 - y1
x2 -x1

The Right Speed
Speed is important when snowboarding because if you go too fast, you will lose control and wipe out or if you go too slow, you wont move very far. The formula for calculating speed is distance

The velocity formula is V= displacement
time

Displacement= the change in your position or starting and finishing point
Time= the time it takes you to to travel from the starting point to the finish.

Choosing the Right Board
-choosing the right board depends on the level and experience of the snowboarder
- if you love speed might want a slim board that is narrow and flat at the front so that there is less surface area covering the snow ( snow tends to slow you down because of constant melting).
-a person (like you and I) would look for a board that it not too narrow and not too wide, preferably a board that has a slight curve where the bindings are.
-the curve allows you to turn on the mountain. The more curve the board has, the sharper the turn.
Math Behind Snowboarding
Presented By Brenden
Snowboarding is a winter sport that is loved by many people all over the world. Snowboarding was inspired by surfing, skateboarding, wake boarding, and skiing. A successful snowboarder needs a ton of balance, direction, and knowledge.
Calculating Vertical Drop of Whistler
Ex) Whistler has a elevation of 2200m total. The village sits at 653m total. What is the vertical drop.

2200 - 653 = 1547m

- The vertical drop of whistler is 1547m.
Lift Capacity
- If Whistler has a lift capacity of 39,457/ hour. What is the lift capacity per day?

39,457 x 6hrs = 236,742

The amount of people that ride the chair lifts in one day at Whistler is around 236,742.
Why is Chose Snowboarding

I chose snowboarding because it's one of my favorite hobbies. The math behind snowboarding interests me because of the complexity and because it's one of the many things I like to do.

Finding Slope
To find the slope pick two points on the graph and put them into the formula
Slope formula : y2 - y1
x2-x1
= Rise
Run
Bibliography

http://extremesportsphysics.blogspot.ca/2007/10/speed-snowboarding-125-mph-and-beyond.html

http://www.snowlifts.com/php-bin/snowboardcalc.php

https://prezi.com/c5gitm7j2cvs/the-math-behind-skiing/

https://van.physics.illinois.edu/qa/listing.php?id=19188
http://www.edinformatics.com/math_science/acceleration.htm
http://scienceblogs.com/dotphysics/2009/09/14/snow-board-jump-help/
Time
fig 1)
fig 2)
figure 1=
Is the typical snowboard
figure 2=
Is the snowboard made for speed
How to calculate the right size of board
To calculate the right size of the board there are two methods, The shoulder-to-ear, or the Formula.

Shoulder-to-ear=

first you measure pick a snowboard and put it up beside you, get someone to determine weather the board is between your shoulder and the ear, if it is between, then this snowboard is right for you.

Formula=
This method only works if you know your height, the suggested board length = your height ( in inches ) x 2.54 x .88 = recommended board length
2.54 and .88 are numbers that give you the exact size of board you need.
Stunts
-math is important in the creation of a snowboard jump
- a jump is shaped like a triangle.
-when the jump is made, the length of the base (A) and the height of the jump (B) is determined, then the side length (C) is calculated
-the formula we use to calculate the of the jump is Pythagoras Theorem
( A2 + B2 = C2 ).
- when math is correct , then you can do all sorts of cool tricks.

Calculating

A=4m
B=2m
( A2 + B2 = C2 )
4m2 + 2m2 = C2
C2= 20m
C= 4.47m
C
The length of the side C is 4.47m.
What Happens When you Don't get the Math Right?
Angle of Elevation
The angle of elevation relates to the angle of incline on the jump. The greater the angle, the steeper the jump.
2m
6m
Angle of incline (x) in degrees
In order to calculate the angle, you can use sine, cosine, or tangent. For this example, we are given the length of the opposite side and the adjacent side so we would use the tangent formula.
sine x = opposite
hypotenuse

hypotenuse

tangent x = opposite
x
Calculations
tangent x = opposite