To make Maths, Science and Computer Science interesting
We modified our triangular wave Car to produce flat crest and trough by reducing the teeth in the middle gear. Next we are working to build a car with unequal flats of crest and trough.
This car draws triangular wave when it moves!
Triangular wave means that the y-component is proportional to the x-component (which is the distance traveled by the car).
The y-component is the half circumference of the middle gear and the x-component is the circumference of the car wheel. In our case, both the radii are same.
Thus, the distance traveled in y-direction is half of that in x-direction.
Therefore, the slope of the lines, tan θ = 1/2
BASIC TRIGONOMETRY IN A CAR!!!
This special car draws a sine wave as it moves!
On y-axis, we have the sinθ component of the circle as shown in the upper figure, and on x-axis we have the movement of car which is rθ.
Therefore, the graph would be between (sinθ, rθ) which would be a sine curve.
Everyone has seen the above image of a unit circle, but when we showed this car to engineering students, they were not able to explain why the car draws a sine curve.
Yesterday, 30 children from science city visited IIT Gandhinagar. Their children are toppers from every district of Gujarat and have been selected to be part of a month-long program organized by Science City to exposure children to have awareness about biodiversity. They had a wonderful time to tinker with lots of low-cost hands-on science and mathematics toys. After the hands-on session, children visited the CLI lab where they got chance to explore various exhibits in detail like the south-pointing chariot, enigma machine, a simple bot based on Chebyshev 4 bar mechanism to name a few. They were also amazed to see the car which makes sine wave and triangular wave when it moves on the floor. The mechanism left the children mesmerized. After having lunch in mess, the children got the visited labs at IITGN and library too. They were really fascinated to see the infrastructures and design of the campus and many of them who aspired to be engineers inquired about the process of getting enrolled in IITGN. We hope that this experience will inspire them to achieve success in future.