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Mechanical Comprehension

If input effort is 700 ft⋅lb, what output effort will be produced by a machine with a mechanical advantage of 5?

3500 ft⋅lb

Mechanical advantage is the ratio of output force to input force and tells us by how many times a machine multiplies input effort. So, a machine with a mechanical advantage of 5 will multiply an input effort of 700 ft⋅lb by 5 to produce an output effort of 3500 ft⋅lb.

Word Knowledge

My parents banned Chad from our house because of his indecorous behavior at dinner.

vulgar

In bad taste.

Mechanical Comprehension

What defines the mechanical advantage of a first class lever?

position of the fulcrum

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.

General Science

Which of the following is not part of the carbon cycle?

precipitation

The carbon cycle represents the ciruit of carbon through Earth's ecosystem. Carbon dioxide (CO₂) in the atmosphere is absorbed by plants through photosynthesis. Plants then die and release carbon back into the atmosphere during decomposition or are eaten by animals who breathe (respiration) the carbon into the atmosphere they exhale and produce waste which also releases carbon as it decays.

General Science

As part of digestion, the liver produces bile which breaks down:

fat

The liver produces bile which emulsifies (separates) fat.

Mechanical Comprehension

An object's resistance to changes in direction is known as:

inertia

The more mass a substance has the more force is required to move it or to change its direction. This resistance to changes in direction is known as inertia.

Automotive Information

A __________ is designed to drive a pair of wheels while allowing them to rotate at different speeds.

differential

A differential is designed to drive a pair of wheels while allowing them to rotate at different speeds. A transaxle is a transmission that incorporates the differential in one package. Most front-wheel drive cars use a transaxle while rear-wheel drive cars use a transmission and separate differential connected via a drive shaft. The differential is incorporated into the drive axle which splits engine power delivered by the drive shaft between the two drive wheels. All-wheel drive cars typically use a transaxle that includes an output shaft to the rear differential.

Math Knowledge

Find the value of a:
5a + x = -1
-2a - 3x = -3

-\(\frac{6}{13}\)

You need to find the value of a so solve the first equation in terms of x:

5a + x = -1
x = -1 - 5a

then substitute the result (-1 - 5a) into the second equation:

-2a - 3(-1 - 5a) = -3
-2a + (-3 x -1) + (-3 x -5a) = -3
-2a + 3 + 15a = -3
-2a + 15a = -3 - 3
13a = -6
a = \( \frac{-6}{13} \)
a = -\(\frac{6}{13}\)

Mechanical Comprehension

What is the mechanical advantage of this inclined plane if the length of the ramp is 24 ft. and the height of the green box is 8 ft.?

The mechanical advantage (MA) of an inclined plane is the effort distance divided by the resistance distance. In this case, the effort distance is the length of the ramp and the resistance distance is the height of the green box:

MA = \( \frac{d_e}{d_r} \) = \( \frac{24 ft.}{8 ft.} \) = 3

Word Knowledge

The supple leather coat draped like soft cloth around her shoulders.

pliant

Flexible.