| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
| 3.3 | |
| 6.5 | |
| 2.2 | |
| 8.5 |
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 = \( \frac{N_1}{N_2} \) \( \frac{N_2}{N_3} \) = \( \frac{26}{18} \) \( \frac{18}{4} \) = \( \frac{26}{4} \) = 6.5
Which of the following statements about drag is false?
the amount of drag depends on the shape of an object |
|
slower objects experience more drag than faster objects |
|
the amount of drag depends on the speed of an object |
|
drag occurs during movement through a fluid |
Drag is friction that opposes movement through a fluid like liquid or air. The amount of drag depends on the shape and speed of the object with slower objects experiencing less drag than faster objects and more aerodynamic objects experiencing less drag than those with a large leading surface area.
| 30 ft. | |
| 60 ft. | |
| 3 ft. | |
| 6 ft. |
fAdA = fBdB
For this problem, the equation becomes:
5 lbs. x 6 ft. = 10 lbs. x dB
dB = \( \frac{5 \times 6 ft⋅lb}{10 lbs.} \) = \( \frac{30 ft⋅lb}{10 lbs.} \) = 3 ft.
A watt is the unit for which of the following?
energy |
|
power |
|
mechanical advantage |
|
work |
Power is the rate at which work is done, P = w/t, or work per unit time. The watt (W) is the unit for power and is equal to 1 joule (or newton-meter) per second. Horsepower (hp) is another familiar unit of power used primarily for rating internal combustion engines. 1 hp equals 746 watts.
Which of the following will increase the mechanical advantage of this inclined plane?
increase the force acting at the blue arrow |
|
lengthen the ramp |
|
lower the force acting at the blue arrow |
|
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.