Mod Wheels Generation #3 Loop/Course Mission Analysis and Calculations

**Mod Wheels/Spring/2020**

Spring 2020: Mod Wheels Loop/Design Analysis and Calculations

Author: Frank Torres (Design & Manufacturing). Israel

# Loop-the-Loop

Completing the loop was our main focus and I knowing the dimensions of V2’s chassis that was to be created would be significant in determining the minimum diameter sized loop and velocity needed for Mod Wheels complete it.

## Radius vs Speed Needed to Complete Loop

After thorough research I found an equation that’s proportional to the radius and velocity needed to complete it shown in Figure.2.

Knowing the equation, I used MATLAB to code and output the velocity and radius needed to complete a loop with the maximum radius of one foot displayed in Figure.3.

Figure.4 then shows a table showing the velocity needed to complete the loop with respect to velocity.

# Course Design

For the course design we went with an open course including a loop and ramp. We did this due to the mod wheels turbo boost feature that allows it to suddenly increase speed making it hard to control in a closed course. without boost our car goes about 2.3ft/sec and takes about 2 minutes to charge. so it can travel up to 276 feet before it would even get a full charge. Also with boost active will last about 40 seconds and it can read a distance of 232 feet in one boost but most of this energy will wasted in attempt of the loop.

# Conclusion

The radius and velocity needed to complete the loop was solved through an equation I found online. I used the equation in MATLAB to output the velocities needed if the radius of the loop went from 0-12in. With this data the team decided we would try a radius of 6in which would require us to have a minimum speed of 4.6125 ft/s to complete the loop

# References/Resources

- https://www.dummies.com/education/science/physics/calculate-the-velocity-necessary-to-counteract-gravity-in-a-loop/