My group and I decided to investigate into the relationship between the velocity of a wheel and axle, and the angle at which it went down a ramp. We measured these angles by using books, and found that the more books we added to the stack, the faster the wheel would accelerate as it descended downwards along a ramp. If you want to know more about our procedure, refer to the pictures below. Although this lab was just testing velocity at multiple different angles, this can easily be applied to a real life scenario. For example, when I ride my bike down a hill, I don't have to pedal as I'm going down. I can simply steer my bike down the hill. The steeper the hill, the faster my bike will accelerate without pedaling. Of course, I would still have an initial velocity to start off with due to pedaling to bike up the hill. Same with the wheel and axle. We had to push the wheel in order for it to move down the ramp. This had created our initial velocity which gave us our theoretical Y-Intercept.
1. Our first step consisted of us placing two physics textbooks stacked on top of one another, and just one singular physics textbook farther from the two stacked textbooks. on the floor since the wheel touched the ground halfway down the ramp in which the data was no longer accurate. This was considered our first angle.
2. Next, we put the blocks of wood on either end of the two rods to keep them together to create a ramp.
3. From there, we placed the ramp on top of the books and then placed a meter stick underneath the ramp.
4. The next step in the process consisted of us using a stopwatch on an iPhone.
5. Then, we placed the axle on either side of the rods, and gently rolled the wheel.
6. Lastly, we lapped the timer every time the point of the axle gained 20 centimeters.
7. We added another book to the stack and repeated the process from step five, until we had an angle of four books (technically five but we count the bottom two books as our base).
Watch this video by visually seeing how we proceeded going about our lab experiment.
Once we had reached our angle of "four" books, we had recorded all the data every time we stacked another books below our ramp. When we had looked at the numbers, we already knew that as the steepness of the ramp increased, the wheel and axle would accelerate at a faster velocity. Our data was shown here:
Next, we wanted to sketch out a graph for every set of book from the data we had collected above. This helped us determine our slope, our Y-Intercept, our sources of error, as well as our mathematical equations for this data.
In conclusion, our data did prove that the steeper the angle of our ramp was, the more our velocity accelerated down the ramp. Even if you look specifically at 100 centimeters in the data table, for all four books, you can see that it took the wheel 25.77 seconds to reach 100 centimeters using one book, 14.78 seconds with two books, 10.95 seconds with three books, and 9.78 seconds with four books. Using the same bike down a hill scenario, if a bike went down a hill at higher altitude, it would be faster than a bike going down a hill at a lower altitude. This concludes that if something is going down a negative slope, the steeper that slope is, the faster the velocity will accelerate an object down that slope.