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iogann1982 [59]
3 years ago
9

Water, which we can treat as ideal and incompressible, flows at 12 m/s in a horizontal pipe with a pressure of 3.0 x 10^4 Pa. If

the pipe widens to twice its original radius, what is the pressure in the wider section?
Physics
1 answer:
frez [133]3 years ago
5 0

Answer:

p2 = 9.8×10^4 Pa

Explanation:

Total pressure is constant and PT = P = 1/2×ρ×v^2  

So p1 + 1/2×ρ×(v1)^2 = p2 + 1/2×ρ×(v2)^2

from continuity we have ρ×A1×v1 = ρ×A2×v2  

v2 = v1×A1/A2  

and  

r2 = 2×r1

then:

A2 = 4×A1  

so,

v2 = (v1)/4  

then:

p2 = p1 + 1/2×ρ×(v1)^2 - 1/2×ρ×(v2)^2 = p1 + 1/2×ρ×(v1)^2 - 1/2×ρ×(v1/4)^2  

p2 = 3.0×10^4 Pa + 1/2×(1000 kg/m^3)×(12m/s)^2 - 1/2×(1000kg/m^3)×(12^2/16)  

     = 9.75×10^4 Pa

    = 9.8×10^4 Pa

Therefore, the pressure in the wider section is 9.8×10^4 Pa

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A shell is fired with a horizontal velocity in the positive x direction from the top of an 80 m high cliff. The shell strikes th
Sonbull [250]

Answer:

V = 331.59m/s

Explanation:

First we need to calculate the time taken for the shell fire to hit the ground using the equation of motion.

S = ut + 1/2at²

Given height of the cliff S = 80m

initial velocity u = 0m/s²

a = g = 9.81m/s²

Substitute

80 = 0+1/2(9.81)t²

80 = 4.905t²

t² = 80/4.905

t² = 16.31

t = √16.31

t = 4.04s

Next is to get the vertical velocity

Vy = u + gt

Vy = 0+(9.81)(4.04)

Vy = 39.6324

Also calculate the horizontal velocity

Vx = 1330/4.04

Vx = 329.21m/s

Find the magnitude of the velocity to calculate speed of the shell as it hits the ground.

V² = Vx²+Vy²

V² = 329.21²+39.63²

V² = 329.21²+39.63²

V² = 108,379.2241+1,570.5369

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V = √ 109,949.761

V = 331.59m/s

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7 0
3 years ago
Volcanic Island Arcs, such as Japan, form when a(n) __________ plate is subducted below a(n) _________________ and takes seawate
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Volcanic Island arcs form when an <u>oceanic tectonic</u> plate is subducted below a <u>tectonic plate </u>  taking seawater with it.

Volcanic island arcs occur offshore during volcanoes. They occur due to the subduction of an oceanic plate under another tectonic plate. Volcanic Island arcs occur mostly in ocean basins.

Due to the subduction of oceanic plates under tectonic plates, Island Arcs are found, mostly along the margins of continent.

Hence we can conclude that Volcanic Island arcs Form when an <u>oceanic tectonic</u> plate is subducted below a <u>tectonic plate </u>  taking seawater with it.

Learn more : brainly.com/question/18662349

7 0
2 years ago
A 150 g ball and a 240 g ball are connected by a 33-cm-long, massless, rigid rod. The balls rotate about their center of mass at
stira [4]

Answer:

v= 3.18 m/s

Explanation:

Given that

m= 150 g = 0.15 kg

M= 240 g = 0.24 kg

Angular speed ,ω = 150 rpm

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\omega =\dfrac{2\pi N}{60}

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r=\dfrac{150\times 0+240\times 33}{150+240}\ cm

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Answer:

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(c) <em>Meter</em>: A meter describes the structure of a beat. It is sometimes represented as the time signature of a song. It defines how many individual beats there would if one were clapping their hands to the beat of a song.

(d) <em>Accents</em>: Accents refer to the stress or emphasis laid on a chord or musical note. They are a large measuring factor in the articulation of a musical piece.

(e) <em>Syncopation</em>: In music, syncopation describes an element of surprise. It occurs when rhythmic patterns fall on weak beats (or weak parts of the beat) rather than on strong beats. These kind of rhythms are usually easy to sing but difficult to transcribe.

(f) <em>Tempo</em>: The tempo of a beat in music is typically the speed of the beat - how fast the beats are being played or sung. It is often measured in beats per minute (BPM). This means that tempo is the number of beats played per minute.

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