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LiRa [457]
4 years ago
14

When a 2-kg block is suspended from a spring, the spring is stretched a distance of 20 mm. Determine the natural frequency and t

he period of vibration for a 0.5-kg block attached to the same spring
Engineering
1 answer:
Evgesh-ka [11]4 years ago
4 0

Answer:

7.05 Hz

Explanation:

The natural frequency of a mass-spring system is:

f = \frac{1}{2 \pi}\sqrt{\frac{k}{m}}

To determine the constant k of the spring we use Hooke's law:

Δl  = F / k

k = F / Δl

In the first case the force was the weight of the 20 kg mass and the Δl was 20 mm.

F = m * a

F = 2 * 9.81 = 19.6 N

Then:

k = 19.6 / 0.02 = 980 N/m

Therefore:f = \frac{1}{2 \pi}\sqrt{\frac{980}{0.5}} = 7.05 Hz

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What is the weight density of a 2.24 in diameter titanium sphere that weights 0.82 lb?
nasty-shy [4]

Answer:

0.14\ lb/in^{3}

Explanation:

Density is defined as mass ler unit volume, expressed as

\rho=\frac {m}{v}

Where m is mass, \rho is density and v is the volume. For a sphere, volume is given as

v=\frac {4\pi r^{3}}{3}

Replacing this into the formula of density then

\rho=\frac {m}{\frac {4\pi r^{3}}{3}}

Given diameter of 2.24 in then the radius is 1.12 in. Substituting 0.82 lb for m then

\rho=\frac {0.82}{\frac {4\pi 1.12^{3}}{3}}=0.13932044952427\approx 0.14 lb/in^{3}

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4 years ago
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5 0
3 years ago
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How deep does electrical conduit need to be buried?
GenaCL600 [577]
In general, bury metal conduits at least 6 inches below the soil surface. You may also run them at a depth of 4 inches under a 4-inch concrete slab. Under your driveway, the conduits must be below a depth of 18 inches, and under a public road or alleyway, they must be buried below 24 inches.
7 0
3 years ago
Tech A says that serviceable wheel bearings can be repacked by removing the dust cap, filling it with grease, and reinstalling i
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Serviceable wheel bearings can be repacked by removing the dust cap and the cotter pin must be replaced with a new one every time it is removed. Therefore, both Tech A and B are correct.

Sealed bearing assemblies are typically prefilled with lubricant. They also make a more reliable and consistent installation process due to the fact that every into comes preset at the proper clearance.

Furthermore, the serviceable wheel bearings can be repacked by removing the dust cap, filling it with grease, and reinstalling it. Also, cotter pin must be replaced with a new one every time it is removed.

Therefore, both tech A and B are correct.

Read related link on:

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8 0
2 years ago
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katrin2010 [14]

Answer:

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Explanation:

We know that the solar radiation that we receive from sun provides us heat. Thus the solar radiation is a natural source of thermal energy which can be utilized in solar cooker's to cook food or to warm water to generate steam in Solar thermal power plants. The steam generated is used to drive a turbine and hence produce electricity.

As we know that solar radiation is converted into directly usable forms of energy by the solar panels. The solar panels work on the principle of photo-electric effect in which light energy is directly converted into electrical energy to run our electrical devices at home such as light bulbs, fans, e.t.c. An excellent application of this principle is the international space station that orbits the earth and is fully powered by solar energy.

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