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ch4aika [34]
3 years ago
5

A metal wire breaks when its tension reaches 100 newton. If the radius and length of the wire were both doubled then it would br

eak when the tension reached how many newtons
Physics
1 answer:
serg [7]3 years ago
7 0

Answer:

200 N

Explanation:

Since Young's modulus for the metal, E = σ/ε where σ = stress = F/A where F = force on metal and A = cross-sectional area, and ε = strain = e/L where e = extension of metal = change in length and L = length of metal wire.

So,  E = σ/ε = FL/eA

Now, since at break extension = e.

So making e subject of the formula, we have

e = FL/EA = FL/Eπr² where r = radius of metal wire

Now, when the radius and length are doubled, we have our extension as e' = F'L'/Eπr'² where F' = new force on metal wire, L' = new length = 2L and r' = new radius = 2r

So, e' = F'(2L)/Eπ(2r)²

e' = 2F'L/4Eπr²

e' = F'L/2Eπr²

Since at breakage, both extensions are the same, e = e'

So,  FL/Eπr² = F'L/2Eπr²

F = F'/2

F' = 2F

Since F = 100 N,

F' = 2 × 100 N = 200 N

So, If the radius and length of the wire were both doubled then it would break when the tension reached 200 Newtons.

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Answer:

Explanation:

mass of string = .0125 / 9.8

= 1.275 x 10⁻³ kg

Length of string l = 1.5 m .

m = mass per unit length

= ( .1.275 / 1.5) x 10⁻³ kg/m

m = .85 x 10⁻³ kg/m

wave equation: y(x,t) = (8.50 mm)cos(172 rad/m x − 4830 rad/s t)

compare with equation of wave

y(x,t) = Acos(K x − ω t)

ω ( angular velocity ) = 4830 rad/s

k = 172 rad/m

Velocity = ω / k

= 4830/172 m /s

= 28.08 m /s

velocity of wave = \sqrt{\frac{W}{m } }

28.08 = \sqrt{\frac{W}{.85\times10^{-3} } }

788.48 =  W / .85 X 10⁻³

W = 670 x  10⁻³ N .

c ) wave length

wave length =2π  / k

= 2 x 3.14 / 172

= .0365 m

no of wave lengths over whole length of string

= 1.5 / .0365

= 41

d )

equation for waves traveling down the string

= (8.50 mm)cos(172 rad/m x + 4830 rad/s t)

5 0
3 years ago
is a climate cycle where the temperature of the Ocean changes because of movements of air and ocean currents. During this period
k0ka [10]
<h2>Answer: <u>El Niño</u> phenomenon </h2>

<em>El Niño</em> is a natural climatic phenomenon that occurs cyclically on our planet Earth (albeit irregularly) in periods of between 3 and 7 years. It occurs when the temperature of the Pacific Ocean in its eastern part, which is towards South America, becomes warmer than usual.

To understand it better, it is necessary to know the following:

Normally in the referred area of the Pacific, trade winds blow from east to west, which move the warm water from the area to the west, allowing deeper and colder water to emerge. But, during El Niño the trade winds weaken or even flow in reverse, from west to east. It is then, when the warm water accumulates in front of the pacific coasts of South America provoking a change in the habitual patterns of precipitation and temperature.

As a consequence, hot water evaporates and condenses, causing an increase in rainfall. Due to this change in the trade winds, the climate pattern is altered, and these rains affect more the eastern part of the Pacific, while at the other end of the ocean (in Australia and Southeast Asia) the climate becomes colder and dry.

It should be noted that this is a global phenomenon that affects and extends directly or indirectly in most regions of the planet. However, its greatest impact occurs in the American countries of the Pacific coast; and in Southeast Asia and Australia.

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3 0
3 years ago
A screw having 50% efficiency is driven by a rod and 25 cm. The pitch of the screw is 1/10cm Calculate velocity ratio and mechan
neonofarm [45]

(a) The velocity ratio of the screw is 1570.8.

(b) The mechanical advantage of the screw is 785.39.

<h3>Velocity ratio of the screw</h3>

The velocity ratio of the screw is calculated as follows;

V.R = 2πr/P

where;

  • P is the pitch = 1/10 cm = 0.1 cm = 0.001 m
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V.R = (2π x 0.25)/(0.001)

V.R = 1570.8

<h3>Mechanical advantage of the screw</h3>

E = MA/VR x 100%

0.5 = MA/1570.8

MA = 785.39

Learn more about mechanical advantage here: brainly.com/question/18345299

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2 years ago
Glass has a hardness that is in the middle of the hardness scale. What is the hardness of Glass?
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Answer: 5.5

Explanation:

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In this context, several hardness scales have been developed to catalog the materials (specifically minerals), being the Mohs scale  the best known. This scale, proposed by the German geologist Friedrich Mohs in 1825, consists of a ratio of ten minerals numbered in increasing order by hardness, from least to greatest.

This is how the scale starts at 1 with the talc (considered the softest material) and ends at 10 with the diamond as the hardest.

Now, if we are told that the glass is in the middle of the hardness scale that goes from 1 to 10, logically its value will be 5 (volcanic glass). However, according to the scale, the glass is at 5.5.

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e.g,   for m=22.1kg, W=22.1kgx9.8N/kg =216.58N</span>
7 0
3 years ago
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