| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
The mechanical advantage of connected gears is proportional to which characteristic of the gears?
number of teeth |
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diameter |
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circumference |
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speed |
The mechanical advantage (amount of change in speed or torque) of connected gears is proportional to the number of teeth each gear has. Called gear ratio, it's the ratio of the number of teeth on the larger gear to the number of teeth on the smaller gear. For example, a gear with 12 teeth connected to a gear with 9 teeth would have a gear ratio of 4:3.
| 1 | |
| 0.5 | |
| 0.45 | |
| 0.75 |
Mechanical advantage (MA) is the ratio by which effort force relates to resistance force. If both forces are known, calculating MA is simply a matter of dividing resistance force by effort force:
MA = \( \frac{F_r}{F_e} \) = \( \frac{2 ft.}{4.0 ft.} \) = 0.5
In this case, the mechanical advantage is less than one meaning that each unit of effort force results in just 0.5 units of resistance force. However, a third class lever like this isn't designed to multiply force like a first class lever. A third class lever is designed to multiply distance and speed at the resistance by sacrificing force at the resistance. Different lever styles have different purposes and multiply forces in different ways.
Which of these is the formula for force?
F = ma |
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F = a/m |
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F = am2 |
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F = m/a |
Newton's Second Law of Motion states that "The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object." This Law describes the linear relationship between mass and acceleration when it comes to force and leads to the formula F = ma or force equals mass multiplied by rate of acceleration.
What type of load creates different stresses at different locations on a structure?
impact load |
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dynamic load |
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non-uniformly distributed load |
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static uniformly distributed load |
A concentrated load acts on a relatively small area of a structure, a static uniformly distributed load doesn't create specific stress points or vary with time, a dynamic load varies with time or affects a structure that experiences a high degree of movement, an impact load is sudden and for a relatively short duration and a non-uniformly distributed load creates different stresses at different locations on a structure.
| 920 ft. | |
| 460 ft. | |
| 115 ft. | |
| 4 ft. |
Win = Wout
Feffort x deffort = Fresistance x dresistance
In this problem, the effort work is 920 ft⋅lb and the resistance force is 230 lbs. and we need to calculate the resistance distance:
Win = Fresistance x dresistance
920 ft⋅lb = 230 lbs. x dresistance
dresistance = \( \frac{920ft⋅lb}{230 lbs.} \) = 4 ft.