| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
If the handles of a wheelbarrow are 3 ft. from the wheel axle, what force must you exert to lift the handles if it's carrying a 270 lb. load concentrated at a point 0.5 ft. from the axle?
90 lbs |
|
810 lbs |
|
45 lbs |
|
0.83 lbs |
This problem describes a second-class lever and, for a second class lever, 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 3 ft. = 270 lbs x 0.5 ft
Fe = 135 ft-lb. / 3 ft
Fe = 45 lbs
| 600 lbs. | |
| 162 lbs. | |
| 54 lbs. | |
| 4 lbs. |
fAdA = fBdB + fCdC
For this problem, this equation becomes:
50 lbs. x 12 ft. = 60 lbs. x 1 ft. + fC x 10 ft.
600 ft. lbs. = 60 ft. lbs. + fC x 10 ft.
fC = \( \frac{600 ft. lbs. - 60 ft. lbs.}{10 ft.} \) = \( \frac{540 ft. lbs.}{10 ft.} \) = 54 lbs.
| 1.96 ft. | |
| 7.86 ft. | |
| 0 ft. | |
| 3.93 ft. |
To balance this lever the torques at the green box and the blue arrow must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:
Rada = Rbdb
where a represents the green box and b the blue arrow, R is resistance (weight/force) and d is the distance from the fulcrum.Solving for db, our missing value, and plugging in our variables yields:
db = \( \frac{R_ad_a}{R_b} \) = \( \frac{55 lbs. \times 5 ft.}{35 lbs.} \) = \( \frac{275 ft⋅lb}{35 lbs.} \) = 7.86 ft.
What's the first gear in a gear train called?
input gear |
|
driven gear |
|
idler gear |
|
driver 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.
| 1.8 | |
| 3 | |
| 6 | |
| 2 |
Mechanical advantage is resistance force divided by effort force:
MA = \( \frac{F_r}{F_e} \) = \( \frac{80 lbs.}{40 lbs.} \) = 2