How to calculate theoretical values for a ride?

In summary, the speaker discusses a school project involving an accelerometer and obtaining a graph for a ride. They have experimental data but need to calculate theoretical data for certain segments of the ride. They mention the need for initial conditions and consideration of friction. They also note that all three coordinates are necessary for each point.
  • #1
charlotteyip
6
0
Hi,
I've done a prac at school where we had to take an accelerometer onto a ride and obtain a graph in at duration. However, the data I've obtained (Acceleration in X, Y Z and resultant) is experimental data. I need to calculate theoretical data for certain segments of the ride. Assuming that I know the height of each segment, is it possible to calculate theoretical data for this? I do not know the initial velocity or final velocity of any of the points. I do know the mass of the rollercoaster and its height from the ground.

Thanks in anticipation!
 
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  • #2
You'll need some initial conditions - a reasonable assumption might be a velocity of nearly zero at the top. Alternatively, take the initial value that gives the best theory/experiment agreement.
For a real roller coaster, you also have to consider friction.
And, assuming your roller coaster is not one-dimensional, you'll need all three coordinates for each point.
 

1. How do I calculate the theoretical speed of a ride?

To calculate the theoretical speed of a ride, you will need to know the distance the ride covers and the time it takes to complete the ride. You can then use the formula: speed = distance / time to calculate the theoretical speed.

2. What is the formula for calculating the theoretical force of a ride?

The formula for calculating the theoretical force of a ride is force = mass x acceleration. You will need to know the mass of the object or person on the ride and the acceleration of the ride.

3. How can I calculate the theoretical height of a ride?

To calculate the theoretical height of a ride, you will need to know the initial velocity, acceleration, and time it takes for the ride to reach its maximum height. You can use the formula: height = initial velocity x time + 1/2 x acceleration x time^2 to calculate the theoretical height.

4. What factors can affect the accuracy of theoretical calculations for a ride?

There are several factors that can affect the accuracy of theoretical calculations for a ride, such as air resistance, friction, and human error. Additionally, the theoretical calculations may not take into account real-world conditions and variables, such as wind or temperature.

5. Can theoretical calculations be used to predict the actual experience of a ride?

Theoretical calculations can provide a good estimate of the physical aspects of a ride, such as speed, force, and height. However, they do not take into account the human experience and factors such as fear, excitement, and adrenaline. Therefore, they may not accurately predict the actual experience of a ride.

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