Today's Lesson: Mechanical Advantage
Word Problem: You are on a bicycle, traveling at 25 mph for 27 minutes, into a 5 mph head wind. At 8:17 PM you reduce speed to 15 mph to avoid an oncoming traveler. At exactly 8:18 PM, you ride over a twig, which gets caught in your wheel and disables your bicycle.
| From 2009-06 Bike |
You realize that the "bike malfunction" is a broken derailleur, which retails for $43.94 + tax.
Question 1: What distance would you have traveled by 9:30 PM assuming constant speed and no breakage?
Question 2: How many nice things can you no longer buy in your new house due to the cost of replacing the derailleur? Can you negotiate a lower price?
Question 3: Calculate the applied force of a twig on the derailluer. The bike wheel is 26" in diameter, the twig is .25" in diamater, and is caught in the spokes 5" in from the rim of the wheel. Forward speed is 15 mph. Show your work.
Question 4: What is the total energy of of the system of 1) the bicyclist, 2) the rescue vehicle & driver and 3) the babysitters who watched the kids while Liesel drove to Huber Heights.
Extra Credit: Explain what the bicyclist could have done to avoid having a mechanical malfunction. Do not use passive voice. Do not use Wikipedia.
