Potential And Kinetic Energy Worksheet Page 23
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9.2
6. Use the gear ratio formula to help you fill in the table below.
Table 1: Using the gear ratio to calculate number of turns
Input
Output
Gear ratio
How many turns does
How many turns does
Gear
Gear
the output gear make
the input gear make if
(Input Gear:
if the input gear turns
the output gear turns
(# of teeth)
(# of teeth)
Output Gear)
3 times?
2 times?
24
24
36
12
24
36
48
36
24
48
7. The problems in this section involve three gears stacked on top of each other. Once you have filled in
Table 2, answer the question that follow. Use the gear ratio formula to help. Remember, knowing the gear
ratios allows you to figure out the number of turns for a pair of gears.
Table 2: Set up for three gears
Setup
Gears
Number
Ratio
Ratio 2
Total gear ratio
of teeth
(top gear:
(middle gear:
(Ratio 1 x Ratio 2)
middle gear)
bottom gear)
1
Top gear
12
Middle gear
24
Bottom gear
36
2
Top gear
24
Middle gear
36
Bottom gear
12
3
Top gear
12
Middle gear
48
Bottom gear
24
4
Top gear
24
Middle gear
48
Bottom gear
36
8. As you turn the top gear to the right, what direction does the middle gear turn? What direction will the
bottom gear turn?
9.
How many times will you need to turn the top gear (input) in setup 1 to get the bottom gear (output) to turn once?
10. If you turn the top gear (input) in setup 2 two times, how many times will the bottom gear (output) turn?
11. How many times will the middle gear (output) in setup 3 turn if you turn the top gear (input) two times?
12. How many times will you need to turn the top gear (input) in setup 4 to get the bottom gear (output) to turn 4
times?
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