Your Results | Global Average | |
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Questions | 5 | 5 |
Correct | 0 | 2.76 |
Score | 0% | 55% |
2 | |
5 | |
1.8 | |
-5 |
Mechanical advantage is resistance force divided by effort force:
MA = \( \frac{F_r}{F_e} \) = \( \frac{20 lbs.}{10 lbs.} \) = 2
For a hydraulic system, pressure applied to the input of the system will increase the pressure in which parts of the system?
all of these are correct |
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the portions of the system at an altitude below the input |
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the portions of the system at an altitude above the input |
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everywhere in the system |
Pascal's law states that a pressure change occurring anywhere in a confined incompressible fluid is transmitted throughout the fluid such that the same change occurs everywhere. For a hydraulic system, this means that a pressure applied to the input of the system will increase the pressure everywhere in the system.
2 | |
1 | |
-5 | |
0 |
The mechanical advantage of a wheel and axle lies in the difference in radius between the inner (axle) wheel and the outer wheel. But, this mechanical advantage is only realized when the input effort and load are applied to different wheels. Applying both input effort and load to the same wheel results in a mechanical advantage of 1.
0 ft. | |
5 ft. | |
14 ft. | |
3.5 ft. |
To balance this lever the torques on each side of the fulcrum must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:
Rada = Rbdb
where a represents the left side of the fulcrum and b the right, R is resistance (weight) and d is the distance from the fulcrum.Solving for da, our missing value, and plugging in our variables yields:
da = \( \frac{R_bd_b}{R_a} \) = \( \frac{70 lbs. \times 3 ft.}{15 lbs.} \) = \( \frac{210 ft⋅lb}{15 lbs.} \) = 14 ft.
10 | |
2.0 | |
0.5 | |
-5 |
The mechanical advantage of a wheel and axle is the input radius divided by the output radius:
MA = \( \frac{r_i}{r_o} \)
In this case, the input radius (where the effort force is being applied) is 5 and the output radius (where the resistance is being applied) is 10 for a mechanical advantage of \( \frac{5}{10} \) = 0.5