The airflow leaving the rotor of an axial flow turbine is VX = 140 m/s, and its flow angle is 0°. The axial velocity is constant and equal to the blade speed. The inlet flow angle to the rotor is a2 = 60°. Find the specific work and reaction

The maximum height travelled by the ball before returning to the ground is 8.62 m.

The maximum height travelled by the ball before returning to the ground is calculated by applying the following kinematic equation as shown below.

H = (u²sin²θ) / 2g

where;

H = (26² (sin 30)²) / (2 x 9.8)

H = 8.62 m

Thus, the maximum height travelled by a projectile depends on the initial velocity and angle of projection.

Learn more about maximum height here: brainly.com/question/12446886

#SPJ1

The horizontal distance travelled by the football is 3.1 m.

The angle of projection of the football is calculated as follows;

tan ( θ ) = Vy / Vx

where;

tan ( θ ) = 5 / 3

tan ( θ ) = 1.667

θ = arc tan (1.667)

θ = 59⁰

The resultant velocity of the ball is calculated as follows;

v = √ (Vx² + Vy²)

v = √ (3² + 5²)

v = 5.83 m/s

The horizontal distance travelled by the football is calculated as follows;

x = v² sin(2θ) /g

where;

x = [ (5.83)² sin(2 x 59) /9.8 ]

x = 3.1 m

Learn more about horizontal distance here: https://brainly.com/question/24784992

#SPJ1

The value of the inductance, L1 is 255 Henry.

The transfer function of a circuit is a function of complex frequency, expressed as a ratio of two complex polynomial functions of the same frequency. It is generally represented as H(s).

Given,

Transfer Function, H(s) = -IF R = 270Now, 0.1s + 1.5 = -IF= -1.5/0.1=-15As per the question, we have to find out the value of the inductance, L1(in Henry).The impedance of the inductor L1 is L1s.

Thus, the overall impedance of the circuit is given by:

Z = R + L1s + L2s

From the circuit diagram, we can write the following equation:

H(s) = - L2s / (R + L1s + L2s)

Put the values of R, F and H(s) in the above equation to get the value of

L1: 0.1s + 1.5 = - L2s / (270 + L1s + L2s)

By taking inverse Laplace, we get:

Solve for L1: 2700 + 10L1 = 225L1 - L1²10L1 + 2700

                                         = - 225L1 + L1²

Therefore,

L1² - 235L1 - 2700 = 0L1² - 255L1 + 20L1 - 2700

                              = 0L1(L1 - 255) + 20(L1 - 255)

                              = 0(L1 - 255)(L1 + 20)

                              = 0L1

                              = -20, 255

Since, L1 can not be negative, therefore L1 = 255

Hence, the value of the inductance, L1 is 255 Henry.

Learn more about inductance from the given link

https://brainly.com/question/7138348

#SPJ11

From the given hypothesis, Jessica assumes that the two trains have equal mass and initial speeds, and therefore the total initial momentum of the system will be zero.

She also assumes that the net momentum of the system will be conserved, and the final momentum will also be zero, making the two trains come to rest independent of the degree.

However, Josh concludes that Jessica's hypothesis is incorrect. In the case of an inelastic collision, the two trains will be at rest, but not for any degree of inelasticity. In an elastic collision, kinetic energy conservation will not hold if the two trains are at rest after the collision. In this case, Jessica's hypothesis would be incorrect.

Therefore, Jessica's hypothesis is incorrect. The two trains are at rest after the collision only for the completely inelastic case. In the inelastic case, kinetic energy is lost, meaning that at least one of the trains will be moving after the collision. Both trains must have zero velocity after the collision in order to make the final net momentum be zero.

So, Jessica's assumption that the degree of elasticity of the collision does not matter for the final velocity of the trains is not correct.

For more details about hypothesis click here:

https://brainly.com/question/29519577#

#SPJ11

Answer:

A resistor is a passive two-terminal electrical component that implements electrical resistance as a circuit element. In electronic circuits, resistors are used to reduce current flow, adjust signal levels, to divide voltages, bias active elements, and terminate transmission lines, among other uses.

Explanation:

Resistors are common elements of electrical networks and electronic circuits and are ubiquitous in electronic equipment. Practical resistors as discrete components can be composed of various compounds and forms. Resistors are also implemented within integrated circuits.

The electrical function of a resistor is specified by its resistance: common commercial resistors are manufactured over a range of more than nine orders of magnitude. The nominal value of the resistance falls within the manufacturing tolerance, indicated on the component.

Answer:

Light splits up into different colors because of the electromagnetic spectrum which makes the light bend, wavelength, and it makes different colors by it :3

Explanation:

:3

Answer:

26.6m/s

Explanation:

Speed = distance/time

When the distance = 200m

Time = 15s

Speed = 200/15

Speed = 13.33m/s

If it returns travelling 2/3rd of the distance, then the new distance will be:

2/3 × 200

New Distance = 400/3 m

Time taken = 10s

Speed during this period = 400/3 × 1/10

= 400/30

= 40/3

= 13.3m/s

Average speed during the entire trip = 13.3+13.3 = 26.6m/s

The minimum requirements for the design, materials, fabrication, erection, testing, and inspection of various types of piping systems are covered by ASME B31.3 Code.

To know more about fabrication

https://brainly.com/question/23358361

#SPJ4

The sun is considered the ultimate source of energy because it is the primary driver of almost all forms of energy on Earth. Through the process of nuclear fusion, the sun converts hydrogen atoms into helium, releasing an enormous amount of energy in the form of light and heat. This energy radiates out into space and reaches Earth as sunlight.

Sunlight is the basis for several key energy sources. It drives photosynthesis in plants, which converts solar energy into chemical energy stored in organic compounds. This process forms the foundation of the food chain, providing energy for all living organisms.

Additionally, sunlight plays a crucial role in the generation of other renewable energy sources. Solar panels directly convert sunlight into electricity, while wind power relies on solar heating to create air movements. Even hydroelectric power is indirectly powered by the sun, as solar radiation drives the water cycle that produces rainfall and fills reservoirs.

To know more about sun refer here

brainly.com/question/31110366

#SPJ11

Explanation:

One of the interesting things about projectile motion is that the horizontal motion is independent of the vertical motion. Recall that in freefall, an object continually experiences a downward acceleration of 9.80ms2 but has no horizontal acceleration.

Answer:

Before stopping, the van travels 42.5 m

Explanation:

Constant Acceleration Motion

It's a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.

Being a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:

\(v_f=v_o+at\qquad\qquad [1]\)

The distance traveled by the object is given by:

\(\displaystyle x=v_o.t+\frac{a.t^2}{2}\qquad\qquad [2]\)

The van slows down uniformly from v0=17 m/s to vf=0 m/s in t=5 s. The acceleration can be calculated by solving [1] for a:

\(\displaystyle a=\frac{v_f-v_o}{t}\)

\(\displaystyle a=\frac{0-17}{5}=-3.4\ m/s^2\)

The distance covered is:

\(\displaystyle x=17\cdot 5+\frac{(-3.4)\cdot 5^2}{2}\)

\(\displaystyle x=85-42.5=42.5\)

Before stopping, the van travels 42.5 m

Answer:

889.644 newton

Explanation:

multiply the pound value by 4.448

The centre of mass of the region is bounded by y=9-x^2 y=5/2x, and the z-axis is (3.5, 33/8). Formulae used to find the centre of mass are as follows:x bar = (1/M)*∫∫∫x*dV, where M is the total mass of the system y bar = (1/M)*∫∫∫y*dVwhere M is the total mass of the system z bar = (1/M)*∫∫∫z*dV, where M is the total mass of the systemThe region bounded by y=9-x^2 and y=5/2x, and the z-axis is shown in the attached figure.

The two curves intersect at (-3, 15/2) and (3, 15/2). Thus, the total mass of the region is given by M = ∫∫ρ*dA, where ρ = density. We can assume ρ = 1 since no density is given.M = ∫[5/2x, 9-x^2]∫[0, x^2+5/2x]dAy bar = (1/M)*∫∫∫y*dVTherefore,y bar = (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]y*dA= (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]ydA...[1].

The limits of integration in the above equation are from 5/2x to 9-x^2 for x and from 0 to x^2+5/2x for y.To evaluate the above integral, we need to swap the order of integration. Therefore,y bar = (1/M)*∫[0, 3]∫[5/2, (9-y)^0.5]y*dxdy...[2].

The limits of integration in the above equation are from 0 to 3 for y and from 5/2 to (9-y)^0.5 for x.Substituting the values and evaluating the integral, we get y bar = (1/M)*[(9-5/2)^2/2 - (9-(15/2))^2/2]= (1/M)*(25/2)...[3].

Also, the x coordinate of the center of mass is given by,x bar = (1/M)*∫∫∫x*dVTherefore,x bar = (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]x*dA= (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]xdA...[4].

The limits of integration in the above equation are from 5/2x to 9-x^2 for x and from 0 to x^2+5/2x for y.To evaluate the above integral, we need to swap the order of integration. Therefore, x bar = (1/M)*∫[0, 3]∫[5/2, (9-y)^0.5]xy*dxdy...[5].

The limits of integration in the above equation are from 0 to 3 for y and from 5/2 to (9-y)^0.5 for x.

Substituting the values and evaluating the integral, we get x bar = (1/M)*[63/8]= (1/M)*(63/8)...[6]Thus, the centre of mass of the region is bounded by y=9-x^2 y=5/2x, and the z-axis is (3.5, 33/8).

Learn more about centre of mass here ;

https://brainly.com/question/30389896

#SPJ11

Answer:

Explanation:

Answer:

because the rod takes electrons from the fur when rubbed across it

Now

\(\\ \sf\longmapsto h=ut+\dfrac{1}{2}gt^2\)

\(\\ \sf\longmapsto h=0t+\dfrac{1}{2}10t^2\)

\(\\ \sf\longmapsto 500=5t^2\)

\(\\ \sf\longmapsto t^2=100\)

\(\\ \sf\longmapsto t=10s\)

Now

\(\\ \sf\longmapsto h=cT\)

\(\\ \sf\longmapsto T=\dfrac{h}{c}\)

\(\\ \sf\longmapsto T=\dfrac{500}{340}\)

\(\\ \sf\longmapsto T=1.47\approx 1.5s\)

Total time:-

\(\\ \sf\longmapsto T_{net}=t+T=10+1.5=11.5s\)

The total time of motion of the stone is 11.47 seconds.

The time taken for the stone to drop from the given height is calculated as follows;

\(h = v_0t + \frac{1}{2} gt^2\\\\h = 0 + \frac{1}{2} gt^2\\\\t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2\times 500}{10} } \\\\t = 10 \ s\)

The time it takes the stone to travel through the water is calculated as follows;

\(t = \frac{500}{340} \\\\t = 1.47 \ s\)

Thus, the total time of motion of the stone is 1.47 + 10 = 11.47 seconds.

Learn more about time of motion here: https://brainly.com/question/2364404

Answer:

i) E1 = -13.6/1² = -13.6eV

E2 = -13.6/2² = -3.4 eV

E3 = -13.6/3² = -1.51 eV

E4 = -13.6/4² = -0.85 eV

E5 = -13.6/5² = -0.544 eV

E6 = -13.6/6² = -0.377 eV

E∞ = 0

ii) Lyman series obtained when there is electron transition from n = 2,3,4,5,6... to n1=1

Baler series obtained when there is a transition from n = 3,4,5,6.. to n1 = 2

iii) E ( ionisation) = E∞ - E1 = 0 - (- 13.6) = 13.6 eV

To know more about the Hydrogen atom

https://brainly.in/question/77893

The centripetal acceleration of a chain link at the end of a chainsaw's saw blade when chain is moving with a linear speed of 5.3 m/s and follows semicircular path with radius of 0.040 m is 702.625 m/s^2

The centripetal acceleration is given by the formula:

a = v^2 / r

where v is the linear speed of the chain link and r is the radius of the semicircular path.

Substituting the given values, we get:

a = (5.3 m/s)^2 / 0.040 m

a = 702.625 m/s^2

Therefore, the centripetal acceleration of a chain link at the end of a chainsaw's saw blade when the chain is moving with a linear speed of 5.3 m/s is 702.625 m/s^2.

To know more about centripetal acceleration, here

brainly.com/question/14465119

#SPJ4

--The complete Question is, What is the centripetal acceleration of a chain link at the end of a chainsaw's saw blade when the chain is moving with a linear speed of 5.3 m/s and follows a semicircular path with a radius of 0.040 m?--

Answer:

B

Explanation:

A cannonball is shot from the top of a 47.8 m high hill at a speed of 53.7 m/s. The height then is 61.81 m/s.

The motion of an object with constant acceleration is described by a set of equations known as kinematic equations. Integrals, derivatives, and rates of change must all be understood in order to solve kinematics equations.

Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value.

The kinematic equation is:

v² = u² + 2gs (a = g)

Where u is the initial velocity, a is the acceleration, and v is the velocity after the time period t.

(53.7)² + 2 x 9.8 x 47.8 m

Therefore, the height is 61.81 m/s.

To learn more about kinematic equations, refer to the below link:

https://brainly.com/question/23577405

#SPJ2

it’s 144.2 I have it in my notes from when I was in school!!!!

International space station is the mission of NASA. It has launched 134 successful space missions.

International space station is a huge place in the space but in the close orbit with all possible facilities for astronauts , scientists and others

The National Aeronautics and Space Administration (NASA) is an acronym for the National Aeronautics as well as Space Administration. NASA was established as a division of the United States government on October 1, 1958. NASA is just in charge of all research and technology related to aviation and space in the United States.

To know more about NASA and  International space station.

https://brainly.com/question/13033832

#SPJ2

Answer:

B. 3

Explanation:

Answer:B

Explanation:

.03 of an hr is 2 mins and if it takes 2 mins to drive 4 miles enter it in pace calulator you are going 120mph so the closest to 120 is 133mph

The kid is breaking the speed limit of 45 miles/hr since he is going at 133.3 miles/hr.

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Since the distance to the mall is 4 miles, the time taken is 0.03 hours, hence the speed is:

Speed = distance / time

Speed = 4 miles / 0.03 hours

Speed = 133.3 miles/hr

Hence the kid is breaking the speed limit of 45 miles/hr since he is going at 133.3 miles/hr.

Find out more at: https://brainly.com/question/22610586

Aerobic metabolism can occur both aerobically (using oxygen), or anaerobically (without oxygen). During aerobic cellular respiration, glucose reacts with oxygen, forming ATP that can be used by the cell.

Through the process of cellular respiration, organisms mix oxygen with food molecules, directing the chemical energy contained in these substances toward life-sustaining processes while excreting carbon dioxide and water as waste.

Learn more about Cellular respiration here:

https://brainly.com/question/2809259

#SPJ4

The scale will read 147N

The mass of the object, m = 15 kg

Since I am on the earth, the acceleration due to gravity on the earth is:

g = 9.8 m/s²

The scale will read the weight of the object, and is calculated below

The weight, W = mg

W = 15(9.8)

W = 147 N

Therefore, the scale will read 147N

Braking studies have shown that a tractor-trailer traveling at 55 mph needs two times the distance to stop as an automobile.

There are four parts that make up a vehicle's overall stopping distance i.e., Vehicle reaction time and distance, human perception time and distance, human reaction time and distance Vehicle Braking Distance and Time

The maximum distance your car will travel while braking under perfect circumstances. It may require 216 feet at 55 mph on dry pavement with decent brakes. The brakes must use more force to stop a bigger car, which increases heat absorption. On the other hand, large vehicles' brakes, tires, springs, and shock absorbers are made to function optimally when fully loaded. Trucks that are empty need longer stopping distances because they have less traction. It can lock up and bounce, providing substantially worse braking.

To learn more about braking system, click at:

https://brainly.com/question/28498761

#SPJ4

Answer:

Your mass is the same no matter where you go in the universe; your weight, on the other hand, changes from place to place. Mass is measured in kilograms; even though we usually talk about weight in kilograms, strictly speaking it should be measured in newtons, the units of force

In summary, mass is a measure of how much matter an object contains, and weight is a measure of the force of gravity acting on the object. ... The amount of gravity is directly proportional to the amount of mass of the objects and inversely proportional to the square of the distance between the objects.

Explanation: