Activity 2 (5 points): Wind Energy to Electrical Energy Atypical bicycle dynamo has rectangular coil of area A = 4.0 x 1041%2 and N = 100 turns rotating in a magnetic field of magnitude 5' = 0.75 T. It is driven by a 1.60 cm diameter dynamo wheel that rolls on the outside rim of a bicycle tire. In the story of Kamkwamba's windmill, the rotation of the bicycle tire is because it is attached to the same axis as the rotating windmill. So, when the windmill rotates, the tire rotates. When the tire rotates, the dynamo wheel rotates. When the dynamo wheel rotates, the rectangular coil rotates in the magnetic field and produces a induced voltage and current. I. Note down the wind speed that you used in your previous activity in m/s Uw = Using this value, calculate the angular velocity of rotation of the blades of William Kamkwamba's windmill by doing the following calculations. Note: thefnctor of6 that shows up in the equation beiow is known as the Tip Speed Ration {T58} and is a weii-imown concept in windmiii studies. a. Calculate the speed, vb with which the tips of the windmill blades rotate. The speed of rotation of the tips of the windmill blades equals 6 times the wind speed vb=6wi= b. Calculate the angular velocity of the windmill blades, cub, using the radius of Kamkwamba's windmill, r = 1.2 m min = vb/r = c. We will assume that the bicycle wheel attached to the windmill has the same angular velocity as the windmill blades. 50, col: = cub, where ml: is the angular velocity of the bicycle wheel. Now, use this value for mg to calculate the speed, vb, with which the bicycle wheel is rotating. The radius of a typical adult bike wheel is r5 = 0.30 m. vc=rcxmc= d. We will now use this to calculate the angular velocity, cud, of the bicycle dynamo wheel, which has a radius of rd = 1.60 cm = 0.016 m. The angular velocity of dynamo wheel depends on the speed ofthe bicycle wheel. (0d 2 UC/rd = II: Calculate the peak voltage generated by the dynamo using the value of cud you just calculated, and the values given to you at the beginning of the problem. Show your calculations. VG = NABmd = Ill: Compare the value you obtained with the value that Kamkwamba writes for his bicycle dynamo. You'll find that value in Chapter 11. Write down the value from the book below. How close are the two values? VG (story value) =