(a) (i) What is a machine? (ii) State two uses of gears. (iii) Define the velocity ratio for a pair of gear wheels. (iv) How can the mechanical advantage of a gear system be increased?
The diagram above illustrates the gears system of a bicycle. (i) Determine its velocity ratio. (ii) If the bicycle has an efficiency of 90%, calculate the effort required to overcome a load of 70N. (iii) Why is the calculated effort less than the actual effort required?
Explanation
(a)(i) A machine is a device in which an effort applied at one end is used to overcome a load at another point. Machine makes work easier. (ii) Uses of gears are: - to change speed to change direction of motion - to magnify force. (iii) Velocity ratio of a gear wheel is the ratio of number of teeth on driven wheel to number of teeth on driving wheel OR Velocity ratio = (iv) To increase the mechanical advantage, the driving gear is made smaller with fewer teeth than the driven gear. (b) Number of teeth on driven gear = 12. Number of teeth on driving gear = 18. (i) V.R. = = (ii) Efficiency - x 100% = x 100% = x 100% 90 = x 100% (iii) This is due to: - Friction between the tyres and load. - Friction between chain and gear.