| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
Two gears are connected and the smaller gear drives the larger gear. The speed of rotation will __________ and the torque will __________.
decrease, increase |
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increase, increase |
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decrease, decrease |
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increase, decrease |
Connected gears of different numbers of teeth are used together to change the rotational speed and torque of the input force. If the smaller gear drives the larger gear, the speed of rotation will be reduced and the torque will increase. If the larger gear drives the smaller gear, the speed of rotation will increase and the torque will be reduced.
| 2.35 ft. | |
| 0.78 ft. | |
| 200 ft. | |
| 8 ft. |
fAdA = fBdB
For this problem, the equation becomes:
40 lbs. x 5 ft. = 85 lbs. x dB
dB = \( \frac{40 \times 5 ft⋅lb}{85 lbs.} \) = \( \frac{200 ft⋅lb}{85 lbs.} \) = 2.35 ft.
| 3.8 | |
| 2.3 | |
| 4.3 | |
| 3.5 |
The gear ratio (Vr) of a gear train is the product of the gear ratios between the pairs of meshed gears. Let N represent the number of teeth for each gear:
Vr = \( \frac{N_1}{N_2} \) \( \frac{N_2}{N_3} \) \( \frac{N_3}{N_4} \) ... \( \frac{N_n}{N_{n+1}} \)
In this problem, we have only two gears so the equation becomes:Vr = \( \frac{N_1}{N_2} \) = \( \frac{28}{12} \) = 2.3
The mechanical advantage of a wheel and axle is equal to the:
length of the axle |
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ratio of the diameters of the wheels |
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difference in the diameters of the wheels |
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difference in the lengths of the axles |
A wheel and axle uses two different diameter wheels mounted to a connecting axle. Force is applied to the larger wheel and large movements of this wheel result in small movements in the smaller wheel. Because a larger movement distance is being translated to a smaller distance, force is increased with a mechanical advantage equal to the ratio of the diameters of the wheels. An example of a wheel and axle is the steering wheel of a car.
Which class of lever is used to increase force on an object in the same direction as the force is applied?
third |
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all of these |
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second |
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first |
A second-class lever is used to increase force on an object in the same direction as the force is applied. This lever requires a smaller force to lift a larger load but the force must be applied over a greater distance. The fulcrum is placed at one end of the lever and mechanical advantage increases as the object being lifted is moved closer to the fulcrum or the length of the lever is increased. An example of a second-class lever is a wheelbarrow.