| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
The measure of how much of the power put into a machine is turned into movement or force is called:
power |
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efficiency |
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mechanical advantage |
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force multiplication |
The efficiency of a machine describes how much of the power put into the machine is turned into movement or force. A 100% efficient machine would turn all of the input power into output movement or force. However, no machine is 100% efficient due to friction, heat, wear and other imperfections that consume input power without delivering any output.
When it comes to force, mass and acceleration have what kind of relationship?
exponential |
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logarithmic |
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linear |
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inverse |
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's the first gear in a gear train called?
idler gear |
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driver gear |
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input gear |
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driven gear |
A gear train is two or more gears linked together. Gear trains are designed to increase or reduce the speed or torque outpout of a rotating system or change the direction of its output. The first gear in the chain is called the driver and the last gear in the chain the driven gear with the gears between them called idler gears.
| 10.77 ft. | |
| 2.69 ft. | |
| 0.9 ft. | |
| 175 ft. |
fAdA = fBdB
For this problem, the equation becomes:
25 lbs. x 7 ft. = 65 lbs. x dB
dB = \( \frac{25 \times 7 ft⋅lb}{65 lbs.} \) = \( \frac{175 ft⋅lb}{65 lbs.} \) = 2.69 ft.
| 9 | |
| 3.3 | |
| 3 | |
| 6 |
Mechanical advantage (MA) can be calculated knowing only the distance the effort (blue arrow) moves and the distance the resistance (green box) moves. The equation is:
MA = \( \frac{E_d}{R_d} \)
where Ed is the effort distance and Rd is the resistance distance. For this problem, the equation becomes:
MA = \( \frac{7 ft.}{2.33 ft.} \) = 3
You might be wondering how having an effort distance of 3 times the resistance distance is an advantage. Remember the principle of moments. For a lever in equilibrium the effort torque equals the resistance torque. Because torque is force x distance, if the effort distance is 3 times the resistance distance, the effort force must be \( \frac{1}{3} \) the resistance force. You're trading moving 3 times the distance for only having to use \( \frac{1}{3} \) the force.