7. A 45o reducing bend is connected in a pipe line, the diameters at the inlet and outlet of the bend being 600 mm and 300 mm respectively. Find the force exerted by water on the bend if the intensity of pressure at inlet to bend is 8.829 N/cm2 and rate of flow of water is 600 lit/sec.

To determine the free vibration response of the structure of Problem 10.6 (and Problem 9.5) when it is displaced as shown in Fig. P10.8a and b and released, follow these steps:

1. First, identify the natural frequencies and mode shapes of the structure from Problems 9.5 and 10.6.

2. Next, apply the initial displacement conditions from Fig. P10.8a and b to the mode shapes.

3. Calculate the modal participation factors by taking the dot product of the initial displacement vector with the mode shapes.

4. Determine the amplitude of vibration for each mode by dividing the modal participation factor by the natural frequency of the corresponding mode.

5. The free vibration response can now be calculated as a linear combination of the mode shapes, scaled by their respective amplitudes and time-varying factors (e.g., sine or cosine of the natural frequency multiplied by time).

Regarding the relative contributions of the two vibration modes to the response produced by the initial displacements:

- If the modal participation factor for one mode is significantly larger than the other, it indicates that the corresponding mode contributes more to the overall response.

- In contrast, if the modal participation factors are similar in magnitude, both modes contribute comparably to the overall response.

It is important to neglect damping in this analysis to focus on the inherent characteristics of the structure and the initial displacements.

This will provide a simplified yet insightful understanding of the structure's free vibration response.

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r

\(- \frac{mR^2 }{I } \ v\)Answer:

a)      w = - \(\frac{m r }{I} v\)  ,  b)   W = - ½ m_woman R² (1 + m_woman R / I²) v²

Explanation:

a) To solve this exercise, let's use the conservation of angular momentum.

We define a system formed by the table and the woman, therefore the torques are internal and the moment is conserved

initial instant. Before starting to move the woman

         L₀ = 0

final instant. After starting to move

         L_f = I w + m v r

the moment is preserved

        L₀ = L_f

         0 = Iw + m v r

         w = - \(\frac{m r }{I} v\)                    (1)

the direction of the angular velocity is opposite to the direction of the linear velocity, that is, counterclockwise

b) for this part we use the relationship between work and kinetic energy

        W = ΔK

in this case the initial speed is zero and the final speed of the table, using the relationship between linear and angular variables

         v = w r

we substitute

          W = 0 - ½ I_total w²

          I_total = I + m_{woman} R²

          W = - ½ (I + m_woman R²)  ( \(\frac{m_{woman} R}{I} \ v\)) ²

          W = - ½ (m_woman² R² + m_woman³ R³ / I²) v²

          W = - ½ m_woman R² (1 + m_woman R / I²) v²

The minimum required diameter of the pipe is 7.93 ft.

Density of the fluid, ρ = 0.07088 lbm/ft³

μ = 0.04615 lbm/ft-hr

Length of the plastic pipe, L = 400 ft

Rate of flow of the fluid, Q = 12 ft³/s

Head loss, h(L) = 50 ft

The expression for the rate of flow of the fluid is given by,

Q = AV

V = Q/A

h(L) = 32μVL/γD²

50 = 32 x 0.04615 x 12 x 400 x 4/3.14 x D² x 0.07088 x 32.17x D²

D⁴ = 28.4 x 10³/7.15

D⁴ = 3972 ft

Therefore, the diameter of the pipe is,

D = (3972)¹/₄

D = 7.93 ft

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Answer:

Check attachment for your answer

Good luck

This is a defective question. It was WRITTEN by someone who is unclear on the concepts.  DON'T try and answer it.

It's trying to get us to use Newton's second law ... F = m • a.

But that only tells us how much force must act ON THE CAR in order to accelerate it. (45 kg) • (4 m/s^2) = 180 newtons.

This is NOT the force exerted BY the car when it hits something. THAT force depends on its speed WHEN it hits, AND how long it takes for the wreckage to actually come to rest, AND how hard or soft the wall is.

DON'T try to answer this question. Your answer will be wrong, you won't understand why, and the teacher you try to argue with probably won't either.

============================================

More explanation:

Think about jumping off of a ladder in your back yard.  Several times.

Your mass is the same every time.  Your acceleration is the same every time . . . 9.8 m/s² down, the acceleration of Earth gravity, every time.

BUT ...

-- I'll bet you would rather land on wood than on concrete. The force of landing would be less.

-- I'll bet you would rather land on dirt than on wood. The force of landing would be less.

-- I'll bet you would rather land on grass than on dirt. The force of landing would be less.

-- I'll bet you would rather land on a pile of blankets than on dirt. The force of landing would be less.

-- I'll bet you would rather land on a trampoline than on a pile of blankets. The force of landing would be less.

-- I'll bet you would rather jump from a short ladder than from a tall one.  Your speed would be less when you landed, and the force of landing would be less.

==> Your mass is the SAME every time, and your acceleration is the SAME every time.  But the force when you hit is DIFFERENT every time.

The mass and acceleration of the car DON'T tell us the force of the hit when the car hits a wall.  

Answer:

Infrared

Explanation:

Infrared radiation is the form of light that is invisible to eye but can be felt as warmth.

Electromagnetic radiation has gamma rays, ultraviolet rays, x- rays , visible light and infrared radiation, etc.

The heated surface usually emits infrared radiations .They form a continuous spectrum.

Infra red radiation are used in different processes such as heat sensors, thermal imaging and night vision equipment.

Broadly they can be divided into three group near, middle and long infrared radiations.

These radiations can be seen with the eyes with special equipment or under certain conditions.

Red dwarf stars evolve very differently than other stars as they age because their interiors are well mixed, through strong convection.

Red dwarf stars are the smallest and coolest kind of stars on the main sequence.

Red dwarf stars (stars between 0.08 and 0.5 solar masses) evolve very differently than other stars as they age because their interiors are well mixed, through strong convection.

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The purpose of the experiment is to describe how the plasma membrane contributes to how the cell functions.

The dependent variable is the variable bring investigated. In this case, the dependent variable is the egg circumference.

The independent variable is the variable controlled by the researcher.

The controlled variable has no influence on the results. An example is the concentration of vinegar.

A hypothesis is a proposition which can be tested by observations. In order to form a hypothesis, it's important to collect observations about the problem being examined.

The tools that can be used to collect data include observations and records taken.

The procedure to collect the data include:

The conclusions that can be drawn about how the sum of forces acting on an object affect its motion is that when the forces cancel out, then the resultant force will be zero, if not, the unbalanced force will result in the acceleration of the object.

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Weight loss for a fat body does not make a sense of healthy habits. The scale should just be one method of monitoring her overall health.

Healthy habits include good food habits, regular exercising, personal hygiene and positive mind. These all factors affecting our health and it not just our weight.

Body weight can be controlled up to a limit by healthy habits and and controlled food. However, the some people might have a nature of fatty body or skelt irrespective of their habits. In such cases people no need to worry on their health by just looking on their weight.

Weight scale should just be one method of monitoring  the overall health. By losing weight or gaining weight we cant said to be in good health. Therefore, option A be the best response to Shondra.

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The electric field between the plates of an air capacitor of plate area 0.8 m^2 and the Maxwell's displacement current, we need additional information such as the distance between the plates and the voltage applied to the capacitor.

The electric field between the plates of a capacitor is given by the formula E = V/d, where V is the voltage applied to the capacitor and d is the distance between the plates. If we have the value of d and V, we can calculate the electric field.

Maxwell's displacement current, we need to know the rate of change of the electric field in the region between the plates of the capacitor. This can be difficult to determine without additional information about the circuit. However, we can say that the displacement current will be proportional to the rate of change of the electric field and the permittivity of free space. If we have the value of the electric field and the rate of change of the field, we can calculate the displacement current.

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Answer:

a) λ = 1.12 m

b) f = 5.41 Hz

c) v = 154.54 m/s

d) A = 0.22m

e)

\(v_D_{max}=7.48\frac{m}{s}\\\\v_D_{min}=-7.48\frac{m}{s}\\\\\)

Explanation:

You have the following equation for a wave traveling on a cord:

\(D=0.22sin(5.6x+34t)\)     (1)

The general expression for a wave is given by:

\(D=Asin(kx-\omega t)\)    (2)

By comparing the equation (1) and (2) you have:

A: amplitude of the wave = 0.22m

k: wave number = 5.6 m^-1

w: angular velocity = 34 rad/s

a) The wavelength is given by substitution in the following expression:

\(\lambda=\frac{2\pi}{k}=\frac{2\pi}{5.6m^{-1}}=1.12m\)

b) The frequency is:

\(f=\frac{\omega}{2\pi}=\frac{34s^{-1}}{2\pi}=5.41Hz\)

c) The velocity of the wave is:

\(v=\frac{\omega}{k}=\frac{34s^{-1}}{0.22m^{-1}}=154.54\frac{m}{s}\)

d) The amplitude is 0.22m

e) To calculate the maximum and minimum speed of the particles you obtain the derivative of  the equation of the wave, in time:

\(v_D=\frac{dD}{dt}=(0.22)(34)cos(5.6x+34t)\\\\v_D=7.48cos(5.6x+34t)\)

cos function has a minimum value -1 and maximum +1. Then, you obtain for maximum and minimum velocity:

\(v_D_{max}=7.48\frac{m}{s}\\\\v_D_{min}=-7.48\frac{m}{s}\\\\\)

The kinetic energy of the roller coaster at the low point of the ride is 280 000 J.

To find the kinetic energy of the roller coaster at the low point, we need to consider the conservation of mechanical energy, which states that the total mechanical energy remains constant if only conservative forces act on the object. The total mechanical energy is the sum of the potential energy and the kinetic energy.

At point A, the total mechanical energy is:
Total Energy = Potential Energy + Kinetic Energy
Total Energy = 250,000 J + 65,000 J = 315,000 J

Since 35,000 J of work have been done against friction, we need to subtract this value from the total mechanical energy:
Total Energy - Work Done = 315,000 J - 35,000 J = 280,000 J

At the low point, the potential energy is zero, so the remaining energy is kinetic energy:
Kinetic Energy = Total Energy - Potential Energy
Kinetic Energy = 280,000 J - 0 J = 280,000 J

So, the kinetic energy is 280,000 J.

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A Digital Voltmeter is used to measure AC or DC voltage consumed with the aid of an equipment and for displaying the cost directly in numeric shape as an alternative of the usage of a pointer deflection. It is thus, a voltage-sensitive device.

Image end result for digital voltmeter,

A digital voltmeter (DVM) measures an unknown enter voltage through converting the voltage to a digital value and then shows the voltage in numeric form. DVMs are usually designed around a distinct kind of analogue-to-digital converter known as an integrating converter.

Advantages of electronic voltmeter:

Digital display of the output eliminates human reading errors. Readings are accurate and fast in contrast to analog meters. Digital Voltmeter is more steady and reliable. Smaller in dimension and cost-effective.

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Answer:

1.2N

Explanation:

f=m×a

m=3kg

a=.4m/s/s

3×.4=1.2

kg×m/s/s = N

Answer:

True

Explanation:

This Question is a little tricky, so I am unsure if this s the most logical answer.

If you'd look at a compass, 60 degrees south is moreover south then east, and the two imaginary lines are unlikely to intercept.

Answer: parasitic organisms cause harm to other organisms.

Answer:

parasitic organisms cause harm to other organisms.

Explanation:

An electromagnet is created by wrapping a wire around a nail and connecting it to a battery. This causes an electric current to flow through the wire, creating a magnetic field around the nail. This magnetic field allows the electromagnet to attract magnetic materials and has various practical applications.

An electromagnet is created by wrapping a wire around a nail and connecting the ends of the wire to a battery. When the battery is connected, an electric current flows through the wire, creating a magnetic field around the nail. This magnetic field allows the nail to attract certain objects made of magnetic materials, such as iron or steel.
When the electric current passes through the wire, it generates a magnetic field around it. This magnetic field interacts with the magnetic domains in the nail, aligning them in the same direction. As a result, the nail becomes magnetized and exhibits magnetic properties.
The strength of the magnetic field generated by the electromagnet can be increased or decreased by adjusting the number of wire turns, the amount of current flowing through the wire, or the type of core material used. Increasing any of these factors will generally result in a stronger magnetic field.
Electromagnets have a wide range of applications in everyday life. They are used in devices like electric motors, generators, speakers, and magnetic locks. By controlling the flow of electric current, electromagnets provide a way to convert electrical energy into mechanical motion or vice versa.
In summary, an electromagnet is created by wrapping a wire around a nail and connecting it to a battery. This causes an electric current to flow through the wire, creating a magnetic field around the nail. This magnetic field allows the electromagnet to attract magnetic materials and has various practical applications.

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The angular acceleration of the magnetic disk is determined as 35 rad/s².

The angular acceleration of the disk is determined from the principle of conservation of angular momentum.

τ = Iα

where;

I = ¹/₂MR²

I = ¹/₂ x 0.2 x 2²

I = 0.4 kgm²

α = τ/I

α = (14)/(0.4)

α = 35 rad/s²

Thus, the angular acceleration of the disk is determined as 35 rad/s².

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The net force of 6.6 newtons (N) acting on a 90 kilogram (kg) hamster i equivalent to a mass-specific acceleration of 0.73 meters per second squared (m/s2). This means that, given a starting velocity of 0 m/s, it will take the hamster 8.1 seconds to reach a velocity of 3.0 m/s.

Using the equation of motion, the hamster would have travelled a total distance of 8.7 meters along its path. This is calculated by multiplying the hamster's acceleration by the square of the time it took to reach 3.0 m/s, and then dividing this product by two.

Distance = (Acceleration × Time2) ÷ 2

Distance = (0.73 m/s2 × 82) ÷ 2

Distance = 8.7 m

The hamster would have been subjected to the same acceleration for the entire 8.1 second period, meaning that the hamster's velocity would have increased linearly over the course of the journey. This can be demonstrated using the equation of velocity, which states that the velocity of an object is equal to its acceleration multiplied by the time.

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Option A - Falling is the pressure tendency ,If stormy weather were approaching .

  Stormy weather, namely when it includes components like dark clouds, strong winds, thunder, lighting, and rain, is defined as weather that has generated storms or that indicates storms are imminent. It's frequently used in sentences that refer to stormy weather. Low pressure causes active weather. As a result of air rising because it is lighter than the air masses around it, the atmosphere becomes unstable. When the air pressure increases, vapour in the condenses, creating clouds and rain, among other things. Both violent storms and active weather, such as wind and rain, are produced by low pressure systems.

Low-pressure areas have relatively thin atmospheres. Inward winds are a factor in these locations. Low-pressure storms are frequently well-organized.

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The answer is False. A polarized material does not need to have a nonzero net electric charge. Polarization occurs when the positive and negative charges within a material are displaced relative to each other, creating an electric dipole moment.

This can happen in materials such as dielectrics or insulators, which do not conduct electricity. The net electric charge of a polarized material can still be zero, as the overall positive and negative charges remain balanced, but the charges are spatially separated. Polarization plays an important role in phenomena such as capacitance, dielectric constant, and polarization-induced electric fields.

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The angular acceleration of the propeller is 7.54 rad/s²

This can be defined as the rate of change of angular velocity. The S.I unit of angular acceleration is rad/s.

The angular acceleration of the propeller can be calculated using the formula below.

⇒ Formular:

⇒ Where:

From the question,

⇒ Given:

⇒ Substitute these values into equation 1

Note: The negative sign tells that the propeller is slowing down.

Hence, The angular acceleration of the propeller is 7.54 rad/s²

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The solution of expression $12.7\ge s-5.3$ is $s \leq 18$.

The expression $12.7\ge s-5.3$ is an inequality, which means that it expresses a range of values for the variable $s$. The symbol $\ge$ means "greater than or equal to," and in this context it indicates that $12.7$ is greater than or equal to $s-5.3$.

To solve for $s$, we can start by adding $5.3$ to both sides of the inequality:

\begin{align*}

12.7 &\ge s-5.3 \

12.7+5.3 &\ge s-5.3+5.3 \

18 &\ge s

\end{align*}

So the solution is $s \leq 18$. This means that any value of $s$ that is less than or equal to $18$ will satisfy the inequality. For example, $s=15$ would satisfy the inequality, because $12.7 \ge 15-5.3$. However, $s=20$ would not satisfy the inequality, because $12.7 \ngeq 20-5.3$.

What are the variables?

A variable is a symbol or letter that represents a value that can vary or change in a given context or problem. Variables are used to write mathematical expressions, equations, and functions.

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Complete question is: $12.7\ge s-5.3$ is $s \leq 18$.

beta β = ₋₁e⁰ particles

₁₉K³⁸ ⇒  ₋₁e⁰ + ₂₀Ca³⁸ (A)

The measure of arc JK is calculated to be 104° and the measure of ∠KIJ is calculated to be 52°.

It is given that ∠JKI is 70°, arc KI is 116°.

We need to calculate the value of arc JK and angle ∠KJI.

An arc is, in general, any straight curve that connects two locations. The extent of an arc is referred to as arc length.

Since the arc KI = 116° has been provided, we can determine the KJI using the intercept characteristic.

∠KJI = arc KI/ 2

Putting the values in the formula we obtain ∠KJI = 116°/2

⇒ ∠KJI = 58°

By the angle sum property of a triangle, we can write ∠K +∠I +∠J = 180°

⇒ 70° + I + 58° = 180°

⇒ I = 52°

We obtain arc KJ by applying the intercept formula,

∠JIK = arc JK/ 2

⇒ 2 (∠JIK) = arc JK

⇒ 2 (52°) = arc JK

⇒ arc JK = 104°

Therefore, the measure of arc JK = 104° and the measure of ∠KIJ = 52°.

The given question is incomplete. The complete question is 'A circle is shown. Triangle J K I have points on the circle. Angle J K I is 70 degrees. The measure of arc K I is 116 degrees. What are the measures of Arc J K and ∠KIJ? Measure of Arc J K = °. Measure of ∠KIJ = °.

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Answer:360 kg m/s

Explanation:Momentum refers to an object's quantity of motion.

Formula for Momentum: p=mv

p = refers to the momentum

m = refers to the object's mass (this is represented by the unit kg or kilogram)

v = this refers to the object's velocity (this is represented by the unit m/s or meter per second)

So, given that the bike has a mass of 18 kg and is traveling at 20 m/s, then you can already get the momentum by multiplying both of these values.

p = the bike's momentum (what is being asked here)

m = 18 kg

v = 20 m/s

Thus, p = 18kg × 20 m/s = 360 kg m/s

The bike's momentum is 360 kg m/s.

Brainlist please

41kg object that is moving east at 5 m s

Answer:

41kg object that is moving east at 5 m s

Explanation: