Asked by steve
The two gears, with radii indicated below, have equal teeth spacing and are well-meshed. In all cases, the
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:
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:
Answers
Answered by
DefinitelyNotLuis
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.
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