Worksheet: Gears and Gear Ratios
Worksheet: Gears and Gear Ratios
Name_______SOLUTIONS_______________________________ Date__________________
1. Identify the following gears.
2. List 3 special properties of worm gears.
1. Axles are perpendicular.
2. Produce very large gear ratios (it is like a 1 tooth gear).
3. Cannot back drive a worm gear.
3. What are the gear ratios of the following pairs of gears (ratio of the gear on the right to the gear on the left. For the 3rd picture, the ratio of the spur gear to the worm gear)?
24 to 8 or 3 to 1 40 to 24 or 5 to 3 40 to 1
4. TankBot moves at a speed of 120 cm/sec with a gear ratio of 1 to 1. For the 3 gear combinations in question 3, how fast would TankBot move if you replaced the 1 to 1 gear ratio with each gear combination. Assume the gear on the left goes on the motor axle, and the gear on the right goes on the rear wheel axle. For the worm gear, can you figure out which gear MUST go on the motor axle? Show your work.
Remember that the speed of rotating axles is reduced by the gear ratio. The equation is
new speed = old speed / gear ratio
1) new speed = 120 / 3 = 40 cm/sec
2) new speed = 120 / (5/3) = 72 cm/sec
3) new speed = 120 / 40 = 3 cm/sec
5. List as many machines, devices, appliances, etc. that you can think of that use gears.
10 speed bike
automobile transmission
egg beater
can opener
clock or watch
corkscrew
ice cream scoop
hand drill
salad spinner
sprinkler
wind-up toys
hand-powered lawn mower
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40 tooth spur gear
worm gear
24 tooth bevel gears
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