Calculating Torque and Rate of Turn in Snowboarding

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To calculate the rate of turn for a snowboarder using torque, one must first determine the angular acceleration from the torque and rotational inertia. The rotational inertia can be approximated by modeling the snowboarder as a solid cylinder, though it may vary based on arm positioning. The relationship between torque and angular acceleration is given by the equation Στ = Iα. Additionally, the snowboarder's turning mechanics involve body twisting, weight shifting, and leaning, which all affect the turning dynamics. Understanding these principles is essential for accurately simulating snowboard turns in a game.
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Ok, So if i calculate the torque on an object, how do i then find out the rate at which that object turns?
 
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Given the torque (and the rotational inertia) you can calculate the angular acceleration. The rest is kinematics.
 
Ok, so this is for a snowboarding game..

What would be an approximate rotational intertia for a snowboader? His mass in the game is 75kg's.

Or how would I go about working out what his rotational intertia would be? I guess it would depend on the position of your arms and things wouldn't it.

Could I just approximate the snowboarder to be a solid cylinder or something?
 
Mash said:
Could I just approximate the snowboarder to be a solid cylinder or something?
that sounds appropriate to me.
 
hm..

Mash said:
Ok, So if i calculate the torque on an object, how do i then find out the rate at which that object turns?

Well, there's a list of equations in physics that explain rotational motion:

\Sigma\tau = I\alpha

Which allows you to relate torque to rotational acceleration. Then you can do the algebra to solve for, and calculus to integrate, the formula to get, in essence:

\Delta\theta = \omega t + 1/2[\Sigma\tau/I] t^2

But also, yes, it is reasonable to assume that the torque will distribute itself in a uniform way on the skier.
 
The way a snowboarder turns is complicated. A person can twist his body at the waist causing the snowboard to yaw (a similar method is used for unicycles). A person can shift weight on the board front to back and also inwards and outwards with the twist at the waist method to create a lean. A person can also just hop and yaw the snowboard. Leaning on the edges of the snowboard will cause it to turn.
 

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