| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
What's the last gear in a gear train called?
output gear |
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idler gear |
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driven gear |
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driver gear |
A gear train is two or more gears linked together. Gear trains are designed to increase or reduce the speed or torque outpout of a rotating system or change the direction of its output. The first gear in the chain is called the driver and the last gear in the chain the driven gear with the gears between them called idler gears.
| 2 ft. | |
| 8 ft. | |
| 0.67 ft. | |
| 6 ft. |
fAdA = fBdB
For this problem, the equation becomes:
20 lbs. x 5 ft. = 50 lbs. x dB
dB = \( \frac{20 \times 5 ft⋅lb}{50 lbs.} \) = \( \frac{100 ft⋅lb}{50 lbs.} \) = 2 ft.
A block and tackle with four pulleys would have a mechanical advantage of:
0 |
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2 |
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4 |
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1 |
Two or more pulleys used together constitute a block and tackle which, unlike a fixed pulley, does impart mechanical advantage as a function of the number of pulleys that make up the arrangement. So, for example, a block and tackle with three pulleys would have a mechanical advantage of three.
| 4.4 | |
| 4 | |
| 6 | |
| -1 |
Mechanical advantage (MA) can be calculated knowing only the distance the effort (blue arrow) moves and the distance the resistance (green box) moves. The equation is:
MA = \( \frac{E_d}{R_d} \)
where Ed is the effort distance and Rd is the resistance distance. For this problem, the equation becomes:
MA = \( \frac{9 ft.}{2.25 ft.} \) = 4
You might be wondering how having an effort distance of 4 times the resistance distance is an advantage. Remember the principle of moments. For a lever in equilibrium the effort torque equals the resistance torque. Because torque is force x distance, if the effort distance is 4 times the resistance distance, the effort force must be \( \frac{1}{4} \) the resistance force. You're trading moving 4 times the distance for only having to use \( \frac{1}{4} \) the force.
An inclined plane increases ___________ to reduce ____________.
force, power |
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distance, force |
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force, distance |
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distance, power |
An inclined plane is a simple machine that reduces the force needed to raise an object to a certain height. Work equals force x distance and, by increasing the distance that the object travels, an inclined plane reduces the force necessary to raise it to a particular height. In this case, the mechanical advantage is to make the task easier. An example of an inclined plane is a ramp.