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ludmilkaskok [199]
3 years ago
14

The flow rate of a liquid through a 2.0 cm radius pipe is 0.008 m3 /s. the average fluid velocity in the pipe is:

Physics
2 answers:
never [62]3 years ago
7 0

Velocity of fluid in the pipe=6.37 m/s

Explanation:

radius of pipe= 2 cm= 0.02 m

The flow rate is given by Q = a v

Q= flow rate = 0.008 m³/s

a= area= πr²

a=π(0.02)²= 1.256 x 10⁻³ m²

so 0.008 = 1.256 x 10⁻³ (v)

v=6.37 m/s

Degger [83]3 years ago
6 0

The average fluid velocity in the pipe can be obtained by dividing the flow rate of the liquid by the cross-sectional area of the pipe.

Av velocity = Flow rate/Cross-sectional area

Given, flow rate of the liquid = 0.008 m³/s

Cross-sectional area = \pi Radius^{2} , radius of the pipe is 0.02 m.

Substituting the values we get,

Av velocity= \frac{0.008}{\frac{22}{7}*(0.02)^{2}}

= 6.36 m/s

Average velocity of the fluid is 6.36 m/s.

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Answer:

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Explanation:

Let east represent positive x axis and north represent positive y axis.

A bird watcher meanders through the woods, walking 1.93 km due east, 1.03 km due south, and 3.84 km in a direction 52.8 ° north of west.

1.93 km due wast

           s ₁ = 1.93 i km

1.03 km due south

           s₂ = -1.03 j km

3.84 km in a direction 52.8 ° north of west

           s₃ = -3.84 cos 52.8 i + 3.84 sin 52.8 j = -2.32 i + 3.06 j km

Total displacement

          s = s ₁+  s₂+ s₃ = 1.93 i - 1.03 j -2.32 i + 3.06 j = -0.39 i + 2.03 j

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An iron block of mass 10 kg rests on a wooden plane inclined at 30° to the horizontal. It is found
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I assume the 100 N force is a pulling force directed up the incline.

The net forces on the block acting parallel and perpendicular to the incline are

∑ F[para] = 100 N - F[friction] = 0

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The friction in this case is the maximum static friction - the block is held at rest by static friction, and a minimum 100 N force is required to get the block to start sliding up the incline.

Then

F[friction] = 100 N

F[normal] = mg cos(30°) = (10 kg) (9.8 m/s²) cos(30°) ≈ 84.9 N

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F[friction] = µ F[normal]

⇒   µ = (100 N) / (84.9 N) ≈ 1.2

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Answer:

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Accuracy means making measurements that are close to the value precision means making measurement that are close in value to eachother but not necessarily close to the true value.

I hope this helps! If not sorry.

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Answer: 211.059 m

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V_{o}=55 m/s The initial velocity of the ball

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We need to find how far (horizontally) the ball travels in the air: x

Firstly we need to know this velocity has two components:

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V_{ox}=V_{o}cos \theta (1)

V_{ox}=55 m/s cos(70\°)=18.811 m/s (2)

<u>Vertically:</u>

V_{oy}=V_{o}sin \theta (3)

V_{oy}=55 m/s sin(70\°)=51.683 m/s (4)

On the other hand, when we talk about parabolic movement (as in this situation) the ball reaches its maximum height just in the middle of this parabola, when V=0 and the time t is half the time it takes the complete parabolic path.

So, if we use the following equation, we will find t:

V=V_{o}+gt=0 (5)

Isolating t:

t=\frac{-V_{o}}{g} (6)

t=\frac{-55 m/s}{-9.8 m/s^{2}} (7)

t=5.61 s (8)

Now that we have the time it takes to the ball to travel half of is path, we can find the total time T it takes the complete parabolic path, which is twice t:

T=2t=2(5.61 s)=11.22 s (9)

With this result in mind, we can finally calculate how far the ball travels in the air:

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Substituting (2) and (9) in (10):

x=(18.811 m/s)(11.22 s) (11)

Finally:

x=211.059 m

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