| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
Which of the following is not true of a first-class lever?
decreases distance |
|
changes the direction of force |
|
increases force |
|
increases distance |
A first-class lever is used to increase force or distance while changing the direction of the force. The lever pivots on a fulcrum and, when a force is applied to the lever at one side of the fulcrum, the other end moves in the opposite direction. The position of the fulcrum also defines the mechanical advantage of the lever. If the fulcrum is closer to the force being applied, the load can be moved a greater distance at the expense of requiring a greater input force. If the fulcrum is closer to the load, less force is required but the force must be applied over a longer distance. An example of a first-class lever is a seesaw / teeter-totter.
Connected gears of different numbers of teeth are used together to change which of the following charasteristics of the input force?
energy |
|
rotational direction |
|
force |
|
torque |
Connected gears of different numbers of teeth are used together to change the rotational speed and torque of the input force. If the smaller gear drives the larger gear, the speed of rotation will be reduced and the torque will increase. If the larger gear drives the smaller gear, the speed of rotation will increase and the torque will be reduced.
| 15 ft. | |
| 0.6 ft. | |
| 0.3 ft. | |
| 0 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 db, our missing value, and plugging in our variables yields:
db = \( \frac{R_ad_a}{R_b} \) = \( \frac{15 lbs. \times 1 ft.}{50 lbs.} \) = \( \frac{15 ft⋅lb}{50 lbs.} \) = 0.3 ft.
The measure of how much of the power put into a machine is turned into movement or force is called:
mechanical advantage |
|
force multiplication |
|
power |
|
efficiency |
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.
| 150 lbs. | |
| 294 lbs. | |
| 147 lbs. | |
| 149 lbs. |
This problem describes an inclined plane and, for an inclined plane, the effort force multiplied by the effort distance equals the resistance force multipied by the resistance distance:
Fede = Frdr
Plugging in the variables from this problem yields:
Fe x 10 ft. = 490 lbs. x 3 ft.
Fe = \( \frac{1470 ft⋅lb}{10 ft.} \) = 147 lbs.