The two gears, with radii indicated below, have equal teeth spacing and are well-meshed. In all cases, the

Question

large gear is turning at the same, constant angular speed.
Rlarge Rsmall
A 0.4 m 0.2 m
B 0.4 m 0.3 m
C 0.8 m 0.4 m
D 0.6 m 0.5 m
E 0.2 m 0.1 m
F 0.6 m 0.2 m
a. Rank the scenarios on the basis of the speed of the teeth on the small gear.
Largest 1. _____ 2. _____ 3. _____ 4. _____ 5. _____ 6. _____ Smallest
_____ The ranking can not be determined based on the information provided.
Explain the reason for your ranking:
b. Rank the scenarios on the basis of the angular speed of the small gear.
Largest 1. _____ 2. _____ 3. _____ 4. _____ 5. _____ 6. _____ Smallest
_____ The ranking can not be determined based on the information provided.
Explain the reason for your ranking:

Answer 1

Because tangential speed is the same for both gears, you can find the tangential speed speed for the small gear by finding the tangential speed for the large gear. Vtan = radius * angular speed. Because angular speed is constant, Vtan increas as the larger radius increases.