The Kinetic energy per unit volume appears in total energy equation of a flowing fluid, that does not appear in the total energy equation for a non-flowing fluid.
Kinetic Energy per unit volume is defined as the Kinetic energy of the flowing fluid per unit volume.
Bernoulli Equation is a equation that remains constant for a given fluid which comprises of Potential energy per volume, Kinetic energy per volume and Pressure.
It is given by:
P + ρgh + ρv²/2 = constant
where, P is the Pressure
ρ is the density of fluid
g is acceleration due to gravity
h is the height
v is the velocity
∴ ρgh is called as Potential energy per volume
∴ ρv²/2 is called as Kinetic energy per volume
In a Flowing Fluid:
P is presentPotential energy per volume is presentKinetic energy per volume is present since velocity is presentIn a Non-Flowing Fluid:
P is presentPotential energy per volume is presentKinetic energy per volume is absent since velocity is absentHence, Kinetic Energy per unit volume does not appear in the total energy equation for a non-flowing fluid but appears in total energy equation for a flowing fluid.
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Vector u has a magnitude of 5 units and a direction angle of 75°, and vector v has a magnitude of 6 units and a direction angle of 210°. what is the component form of the vector u v?
-3.90, 1.83 are the component form of the vector u v.
What is magnitude of vector?
The magnitude of a vector formula is used to calculate the length for a given vector (say v) and is denoted as |v|. So basically, this quantity is the length between the initial point and endpoint of the vector.The component form of a vector is the ordered pair that describes the changes in the x- and y-values. In the graph above x1=0, y1=0 and x2=2, y2=5. The ordered pair that describes the changes is (x²- x, y²- y), in our example (2-0, 5-0) or (2,5).We have vector u = 5 ( cos 75 i + sin 75 j )
= 1.294 i + 4.830 j
Vector v = 6 ( cos 210 i + sin 210 j )
= -5.19 i - 3 j
Now we add both component
u + v = 1.294 i + 4.830 j + (-5.19 i - 3 j)
= -3.90 i + 1.83 j
= < -3.90, 1.83>
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The correct option is (D). < -3.90, 1.83>
Vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity.
What are vectors?
Quantities with both a magnitude and a direction are called vectors. A vector can be used to represent a vehicle's motion in the real world. 65 mph is the direction of travel for the car. In this illustration, the vector's magnitude is represented by the car's 65 mph speed and its direction by the northwest. In the study of physics, the use of vectors to depict how forces operate on objects is crucial.Given, vector u = 5 ( cos 75 i + sin 75 j ) = 1.294 i + 4.830 j
Vector v = 6 ( cos 210 i + sin 210 j ) = -5.19 i - 3 j
u + v = 1.294 i + 4.830 j + (-5.19 i - 3 j) = -3.90 i + 1.83 j
= < -3.90, 1.83>
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The _________ refers to all of the living and nonliving things on earth that sustain life
The ecosystem refers to all of the living and nonliving things on earth that sustain life.
Ecosystem
An ecosystem, also known as an ecological system, is made up of all the organisms and the physical setting in which they live. The nutrition cycles and energy flows connect these biotic and abiotic elements. Photosynthesis is how energy enters the system and is absorbed by plant tissue. Animals play a significant part in the transfer of materials and energy through the system by eating plants and one another. They also have an impact on the biomass levels of the microbial and plant communities. In addition to facilitating nutrient cycling by transforming nutrients held in dead biomass back into a form that can be easily utilised by plants and microorganisms, decomposers also release carbon into the atmosphere through the breakdown of dead organic matter.
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why does mars jupiter and earth not have the same gravitational force on a 150kg object
According to the Newton's law of universal gravitation 2.4, the force between any more than two or three types of heavier mass which really involves with mass falling to the ground is proved by the distance, the mass's rotational speed and the rotating direction. It happens the changes in space and time, and also in the diameter of it's own mass.
Consider annaca 2412 airfoil with a 2m chord in an airstream with a velocityof 50m/s at standard sealevel conditions([infinity]=1. 233⁄). ifthe lift per unit span is 1353n/m,what is the angle of attack?
The angle of attack of airfoil with a 2m chord in an airstream with a velocity of 50m/s, and the lift per unit span is 1353n/m will be 4 degrees.
To find the answer, we have to know more about the dynamic pressure.
How to find the angle of attack of the airstream?Given that[tex]l=2m\\v=50m/s\\L=1353N/m\\d_{infinity}=1.233Kg/m^3[/tex]
We have the expression for dynamic pressure as,[tex]P_d=\frac{1}{2} dv^2=\frac{1}{2}*1.233*50^2=1541.25 Pascals.[/tex]
We have the expression for lift coefficient in terms of lift per unit span, dynamic pressure and the chord length l as,[tex]k=\frac{L}{P*l} =\frac{1353}{1541.25*2}=0.438[/tex]
We have to find the angle of attack, and which can be defined in terms of k as,[tex]\alpha =sin^{-1}(\frac{k}{2\pi } )\\\alpha =sin^{-1}(\frac{0.438}{2\pi } )\\\alpha =4.007 degrees.[/tex]
Thus, we can conclude that, the angle of attack of airfoil with a 2m chord in an airstream with a velocity of 50m/s, and the lift per unit span is 1353n/m will be 4 degrees.
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An individual is running around a turn with a 17 m radius at 6. 64m/s. Compute the runner’s centripetal acceleration.
Answer:
2.59 ms^2
Explanation:
Radius, r= 17m
Velocity,v = 6.64m/s
Ac= V^2/r
Ac= (6.64)^2/17
Ac= 2.59 m/s^2
You connect a 9 v battery to a capacitor consisting of two circular plates of radius 0. 066 m separated by an air gap of 2. 0 mm. What is the charge on the positive plate?
On connecting a 9V battery to a Capacitor consisting of two circular plates of radius 0.066 m separated by an air gap of 2. 0 mm. The charge on the positive plate is 544.7 ×10⁻¹² C.
Capacitance of the capacitor is determined by the area of the plate of Capacitor and distance between the plates of capacitor.
Let the area of the Capacitor be A , radius of circular plates be r and distance between the plates of capacitor be d.
Given, Voltage, V = 9V
Radius, r = 0.066m
Distance, d = 2mm = 0.002m
Area of the Capacitor, A = πr²
A = π(0.066)²
A = 0.013m²
Capacitance, C = ε₀A / d
C = 8.85×10⁻¹²×0.013/0.002
C = 60.5 ×10⁻¹² F
C = 60.5 pF
We know that Q = CV where Q is the charge on capacitor.
Q = 60.5 ×10⁻¹² × 9
Q= 544.7 ×10⁻¹² C
Since, both plates of a capacitor acquire equal and opposite charge.
Hence the charge on the positive plate of the capacitor is 544.7 ×10⁻¹² C.
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Hazel is analyzing the written information and the image she found. Figure 1 shows that low-frequency radiation is generally considered to be non-ionizing, while high-frequency radiation is generally considered to be ionizing. Use the drop-down menus to complete the statements that support this.
Low-frequency electromagnetic waves have (low-high)
energy. High-frequency electromagnetic waves have (low-high)
energy. High-frequency waves are (more-less)
likely to ionize an atom because of their greater (energy-speed)
.
High-frequency waves are (more-less) likely to ionize an atom because of their greater (energy speed) for low- radiofrequency is generally considered to be non-ionizing, while high- radiofrequency is generally considered to be ionizing.
Microwaves and radio waves are examples of radiofrequency (RF) radiation, which is at the low-energy end of the electromagnetic spectrum. It belongs to the non-ionizing radiation class. Non-ionizing radiation lacks the energy to expel an atom's electrons.
A minimally invasive procedure known as radiofrequency ablation, or RFA, reduces the size of tumors, nodules, and other growths in the body. RFA is used to treat a variety of ailments, such as benign and cancerous tumors, chronic venous insufficiency in the legs, and persistent back and neck pain.
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What is the recommended range from which a temperature should be selected and maintained constantly to achieve targeted temperature manage?
The recommended range from which a temperature should be selected and maintained constantly to achieve targeted temperature manage is 32ºC-36ºC.
In most centers, the patient is actively cooled by using an induced hypothermia protocol for 24 hours to a goal temperature of 32ºC-36ºC. The goal is to achieve the target temperature as quickly as possible. In most cases, this can be achieved within 3-4 hours of initiating cooling.
Targeted temperature management (TTM), previously known as mild therapeutic hypothermia, in selected patients surviving out-of-hospital sudden cardiac arrest (OHCA) can significantly improve rates of long-term neurologically intact survival, [1] and it may prove to be one of the most important clinical advancements in the science of resuscitation.
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What is the tension in the string if the turntable is held fixed, with the mass hanging from the pulley (i. e. , the mass is stationary)?
Weight of the mass is the tension in the string if the turntable is held fixed, with the mass hanging from the pulley
Weight is a force that acts at all times on all objects near Earth. The Earth pulls on all objects with a force of gravity downward toward the center of the Earth. Weight (symbolized w ) is a quantity representing the force exerted on a particle or object by an acceleration field, particularly the gravitational field of the Earth at the surface.
The tension force is defined as the force that is transmitted through a rope, string or wire when pulled by forces acting from opposite sides. The tension force is directed over the length of the wire and pulls energy equally on the bodies at the ends.
The direction of tension is the pull which is given the name tension. Thus, the tension will point away from the mass in the direction of the string/rope. In case of the hanging mass, the string pulls it upwards, so the string/rope exerts an upper force on the mass and the tension will be in the upper side.
Tension will act opposite the the weight of the mass attached in order to maintain equilibrium .
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While a car is running, the alternator provides current to the battery and recharges it. which reaction occurs at the anode of a lead-storage battery during this process?
While a car is running, the alternator provides current to the battery and recharges it. Reduction reaction occurs at the anode of a lead-storage battery during this process .
The Lead-acid battery or lead-storage battery is one of the oldest types of rechargeable batteries.
Lead-storage batteries can be classified as secondary batteries. The chemical reactions that occur in secondary cells are reversible. The chemical process of extracting current from a secondary battery (forward reaction) is called discharging. The method of regenerating active material is called charging.
While recharging, the automobile battery functions like an electrolytic cell. The energy required to drive the recharging comes from an external source, such as an engine of a car. While charging reduction takes place at anode and while discharging oxidation takes place at anode.
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