Electric Zero: The New Gen of Bicycles

WC
by William Chen1 view·Updated Jun 1, 2021

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Audio TranscriptAuto-generated

  1. Hello. I'm William.
  2. I'm a math and physics enthusiast who enjoys bike riding
  3. today. I'll be discussing about my potential design for the
  4. new generation of bicycles.
  5. Electric zero it's easy and introduction as a bike enthusiast.
  6. I wondered if I could use the power exerted from
  7. peddling to create some form of useful energy.
  8. After all, it takes quite a bit of effort to
  9. do speed cycling, go up steep hills and ensure long
  10. distance routes.
  11. As I went through my studies in physics and calculus
  12. as since the correlation between my favorite physical activity and
  13. the sciences fascinated by the relationship, An idea struck me,
  14. I decided to create a series of engineering style problems
  15. to illustrate a potential design of an electric generating bicycle.
  16. Why is it easy?
  17. While the components of the design may sound complex, it
  18. is meant to be reliable and cost efficient machine and
  19. joined by anyone.
  20. We are integrating features without sacrificing than simplicity of an
  21. ordinary bicycle and it's meant to motivate others to ride
  22. a bike more often and to find pleasure in the
  23. amount of work one puts into pedaling as well.
  24. The design introduces a green source of energy.
  25. This is where the set and zero comes from, its
  26. utility equals fun and enjoyment.
  27. Technical aspects involving bath.
  28. Throughout this section we'll be using calculus, a dynamic study
  29. in math mathematics to explain the mechanisms for the prototype,
  30. like generator basics of differentiation.
  31. To start off, we would like to cover some fundamental
  32. concept regarding differentiation.
  33. Differentiation is a branch of calculates that describes the behavior
  34. of slopes and graphs or rates of change in a
  35. parabolic graph.
  36. The salts are the lines, attention to the curves.
  37. One of these tangents describes an instantaneous rate of change.
  38. How can a function fail to be differentiable?
  39. A. A corner, be a discontinuity, see a vertical tangent.
  40. Yeah, differentiation formulas applications of differentiation in the bike generator
  41. design, differentiation will be used to create different parts of
  42. the bicycle as explained in the fund problems with math
  43. side, we will be using differentiation to find the derivative
  44. of the energy function.
  45. The power function as well, differentiation will be used to
  46. determine whether the prototype, detachable and rechargeable battery is ideal
  47. for the design.
  48. Once we solve the problems, the solutions will lay out
  49. the specific details of the parts needed to construct the
  50. bike basics of integration.
  51. Up until now we have covered the basics of differentiation
  52. and some of its applications and the bike design.
  53. There is another branch of calculus that plays a huge
  54. role in the design.
  55. This concept is called integration.
  56. Imagine there is an infinite number of rectangles of a
  57. really small thickness close to zero underneath the graph side
  58. by side.
  59. There will be so many of them that they would
  60. fit, fill an area underneath the curve.
  61. That is the whole idea of integration, that some of
  62. the areas of these tangles with a really small with
  63. this submission is called the Riemann sum.
  64. All roughly speaking integration is the reverse of and differentiation.
  65. All the formulas of integration are basically differentiation formulas that
  66. go backwards, the Riemann sum, adding rectangles.
  67. Imagine an infinite number of rectangles are underneath the curve
  68. region. Formulas applications of integration in the bike generator design.
  69. As observed as we observed, integration is a more elaborate
  70. form of capitalist next step after differentiation, so it will
  71. be sensible to use it in a more dynamic platform
  72. in the following side, fun problems with math integration can
  73. be used in the following ways to put a soviet
  74. of the electric current flowing in the design to determine
  75. the amount of space or volume the front, the frontal
  76. gears of the bike take up fund problems with math.
  77. Feel free to try these problems on your own, bypassing
  78. the video and you and if you're stuck, you can
  79. pause and have a look at the hints problem one,
  80. number one, number two, number three.
  81. Listen album too, solution solution Our three problems 3 solution
  82. part one, Which in Part two, here is a diagram
  83. of the basic of the basic.
  84. Here's the basic circuit diagram of the generator of the
  85. bike, decide problem for Yeah, solution boss level question one,
  86. two free.
  87. The diagram should look something like this.
  88. Here's the solution.
  89. Merciful economics question.
  90. Just to end the math section a little bit.
  91. On the easier side, hint solution.
  92. Technical aspects involving physics in general.
  93. Physics plays a huge role in the kingdom attics, dynamics,
  94. the mechanics, the integration of moving parts and emotion of
  95. the whole system itself.
  96. In this section we'll be discussing some fundamental principles of
  97. physics that we will need for the bicycle frames of
  98. reference. Before we discuss the main principles of physics, it
  99. is important to understand the frame of reference we're discussing
  100. for the initial frame of reference.
  101. We only focus on the moving parts of the bicycle,
  102. nothing else that is surrounding their system.
  103. This will allow us to apply Newton's 1st and 2nd
  104. laws because the frames of reference are address or in
  105. uniform motion, but they are not accelerating centripetal acceleration will
  106. be sensible to use the theory of central pedal motion
  107. to describe the bikes mechanisms, especially the pedals that rotate
  108. the bikes gears when pedaling.
  109. The velocity of the bikes pedal is always directed along
  110. the tension of the circular gears.
  111. Meanwhile, the meanwhile, acceleration is always directed towards the center
  112. of the gear, centripetal acceleration formula centripetal force.
  113. When discussing the bikes movement on its circular path, an
  114. important factor to take into account is centripetal force.
  115. A force acting perpendicular to the direction of the velocity
  116. is always required in order for any object to move
  117. continuously along a circular path.
  118. Here's a diagram of central pet of centripetal force, centripetal
  119. force formula torque.
  120. When discussing about the bike pedals, we refer to the
  121. but crank arm as the lever arm.
  122. In physics terminology, the lever arm is the perpendicular distance
  123. from the axis of rotation to the line, along which
  124. force acts talk formula torque equals two F.
  125. D. The generator, It is one of the main components
  126. of the design.
  127. This device converts mechanical energy in our case pedaling into
  128. electrical energy.
  129. When riding the bike, the force created by peddling would
  130. eventually create a rotating force within the generator centripetal force.
  131. What type of generator would be used?
  132. A type of generator Reiter that would be used is
  133. called an alternating current A C generator.
  134. Unlike the current direct current dc generator, the A.
  135. C. Generator does not require a commentator and attachment to
  136. the armature, a set of quote copper wires of the
  137. generator that reverses the direction of flow of electric current.
  138. Instead, the A.
  139. C generator has continuously brings, so there is much less
  140. sparking and less wear on the brushes as it mainly
  141. consists of stationary coils and revolving magnets generator is simple
  142. to design and maintain.
  143. This also makes it highly durable and last for a
  144. long time diagram of an A.
  145. C generator.
  146. Fair day's law, Fair days all plays a huge role
  147. in the function of the generator.
  148. Michael Faraday of famous scientists who specialized in electromagnetism, explained
  149. that the faster the change of the magnetic flux, the
  150. greater the induced current and the greater the induced electoral
  151. motive force or E.
  152. M. F.
  153. Fair Day's law formulas, problems with basics.
  154. You're afraid to try them on your own by pausing
  155. the video.
  156. Important not to problem solvers.
  157. All the solutions are written according to rules of significant
  158. figures or SF or those who don't know the SF
  159. rules. Try finding solutions to the correct number of significant
  160. figures for others.
  161. Your answers are not exactly like the solutions, but the
  162. values are close then your answer is deemed correct.
  163. Okay. Problem one solution problem two groups.
  164. Problem too.
  165. Solution. Album three solution conclusion math, especially calculates in physics
  166. play huge roles in designing engineering and innovating.
  167. This can be observed from the design of the electoral
  168. trick generating bicycle prototype we have just discussed.
  169. I used this design as a model to buy what
  170. I have learned so far about calculus and physics.
  171. Creating this project allowed me to connect and apply concepts
  172. in the maths and sciences and exercise my creativity.
  173. A graph on a grid is not just a curve
  174. on a page.
  175. Open stores to a whole new level of wonder and
  176. motivation. Who knows, I might bring the design to life
  177. and use it for us.
  178. Research project in university.
  179. I'm going to UBC engineering by the way.
  180. Yeah, a great discovery solves a great problem but there
  181. is a grain of discovery in the solution of any
  182. problem. Your problem may be modest, but if it challenges
  183. your curiosity and brings into play your inventive faculties and
  184. if yourself it by your own means, you may experience
  185. the tension and enjoy the trial discovery.
  186. That's my favorite quote from George.
  187. Cool. Yeah.
  188. D end