Torque this!

1. Torque this! What is torque? By the end of today you should be able to: •Define Torque •Make a basic Torque calculation

2. B A Lance needs to climb the Pyrenees. His only options are fixed gear bikes. Which one should he choose for the mountain climb? Why?

3. Torque (Rotational Force) Torque is the effect of a force applied on a body at some distance from the axis of rotation of that body (c.w. or c.c.w.). Ex: Torque wrench or large pipe wrenches. Torque = Force * Lever arm (length) Unit of measurement: English = ft•lb SI = N•m

4. How is it calculated? • As you apply a force to any point on a lever arm it gives you a Torque value, which is a twisting value measured at the point of rotation. (T=FxL • In order to feel, use or re-apply that torque, a lever arm or any length must be attached and the torque is the distributed along the lever length, thus producing a force (F=T/L). • The shorter the Lever or smaller the sprocket, the greater the Force that is applied from Torque.

5. In each case, the same torque gets “loaded” into the drive hub at the front sprocket. But the torque then gets re-applied through the length of lever arm. Depending on the length you’ll get some kind of Force (T/L=F) B A Because Lance loads the same amount of torque into the drive hub the smaller front sprocket distributes the torque less, so more force is “conserved” and is applied to the chain.

6. Force Transformers – Belt Drive Force: Since the two pulleys are connected by a common belt the Force In = Force Out  Lever Arm: The distance from the center of the pulley to the outside rim (radius). Angular Speed: If the output pulley is twice as big as the input pulley, then the output pulley would only make ½ revolution for every revolution of the input pulley.  Torque: Torque in = Fin x Lin Torque out = Fout x Lout Mechanical Advantage = Torque out / Torque in Mechanical Advantage: Since the Forces of the two pulleys are equal, then the lever arm (radius) of the pulleys must determine mechanical advantage. Drive Driven

7. Torque Transformer -Gear Drive Drive =18 Teeth Driven =24 Teeth • Force: Since the gears are directly connected the force from the drive gear is directly transferred to the driven gear. In other words Force In=Force Out • Gear Ratio: Drive (input) gear = 18 teeth: Driven (Output gear) = 24 teeth Gear Ratio = (Driven Gear / Drive Gear) = 24 / 18 or = 1.33 to 1 • Lever Arm: The distance from the center of the gear to the gear tooth (radius). • Angular Speed: If the drive gear makes one revolution, the output gear would make ¾ (.75) revolution). If the input gear was spinning at 1000 rpm the output gear would be spinning at 750 rpm  • Torque: Torque in = Fin x Lin Torque out = Fout x Lout • Mechanical Advantage: Determined by the Gear Ratio ( or ratio of the radii)

8. 200 N 10 cm 20 cm Pedal Length = 30 cm 200 N 20 cm 10 cm A bicycle is a combination of a gear drive and belt (chain) drive system 1200N•10cm=12,000N•cm of torque at driven hub Calculate for both: 1) Torque at hub of drive gear 2) Force transferred from drive to driven gear 3) Torque at hub of driven gear 6000N•cm/5cm=1200N (force transferred) 6000 N•cm of Torque in each case: (200N•30cm) Note: 200 N = about 45 lbs of force

9. Torque vs. Speed Greater Torque Less Speed Less Torque Greater Speed

10. http://auto.howstuffworks.com/gears.htm http://www.howstuffworks.com/transmission.htm http://www-education.rec.ri.cmu.edu/multimedia/cgr.shtml Basso’s Challenge If the input (drive gear) is spinning Clockwise at 20 rpm how fast and what direction is the output gear spinning? N-is the number of teeth