| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
| 3.8 | |
| 6.8 | |
| 5.8 | |
| 3.4 |
The mechanical advantage of a gear train is its gear ratio. The gear ratio (Vr) 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 three gears so the equation becomes:
Vr = \( \frac{N_1}{N_2} \) \( \frac{N_2}{N_3} \) = \( \frac{30}{12} \) \( \frac{12}{8} \) = \( \frac{30}{8} \) = 3.8
Which of the following will increase the mechanical advantage of this inclined plane?
increase the force acting at the blue arrow |
|
lower the force acting at the blue arrow |
|
lengthen the ramp |
|
shorten the ramp |
The mechanical advantage (MA) of an inclined plane is the effort distance divided by the resistance distance. In order to increase mechanical advantage, this ratio must increase which means making the effort distance longer and this can be accomplished by lengthening the length of the ramp.
| 5 ft⋅lb | |
| 490 ft⋅lb | |
| 245 ft⋅lb | |
| 735 ft⋅lb |
Which of the following surfaces would have the highest coefficient of friction?
marble |
|
concrete |
|
steel |
|
ice |
Coefficient of friction (μ) represents how much two materials resist sliding across each other. Smooth surfaces like ice have low coefficients of friction while rough surfaces like concrete have high μ.
A wedge is most similar to what other type of simple machine?
first-class lever |
|
inclined plane |
|
second-class lever |
|
third-class lever |
The wedge is a moving inclined plane that is used to lift, hold, or break apart an object. A wedge converts force applied to its blunt end into force perpendicular to its inclined surface. In contrast to a stationary plane where force is applied to the object being moved, with a wedge the object is stationary and the force is being applied to the plane. Examples of a wedge include knives and chisels.