Currently failing the class

Distinguish between vector and scalar quantities providing examples of each

110 J, the lever lift with an input force of 20. 0 n is 110 J.

The solution:The ratio of a lever's effort arm to its load arm determines its mechanical advantage.This is also known as the lever principle.

The pulley's raised object is referred to as the load, and the force needed to lift it is referred to as the effort force.Inside the diagram, a pulley is used to raise a block of wood by applying a force F, also known as the effort force.The load is typically multiplied by the number on ropes to determine the effort.

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a gamma-ray photon produces an electron and a positron, each with a kinetic energy of 375 keV.

wavelength of photon = 7.019 × 10⁻¹³ m

Total energy of photon = 1.77 MeV.

An object's kinetic energy is the energy it has as a result of motion. Applying force is necessary if we wish to accelerate an item. We must put forth effort in order to apply a force. Once the job is finished, energy is transferred to the item, which then moves at a new, constant speed.

The rest mass energy for electron and positron:

E₀ = m₀c²

E₀ = (9.1 × 10⁻³¹) × (3 × 10⁸)

E₀ = 8.198 × 10⁻¹⁴ J

E₀ = 512.4 × 10³ eV or 512.4 KeV

Total energy of photon:

= [2 × (375)] + [2 × ( 512.4 )]

= 1774.8 KeV

= 1.77 MeV.

Energy = hc/λ

or, λ = (6.626 × 10⁻³⁴) × (3 × 10⁸)

or, λ = 7.019 × 10⁻¹³ m

Thus, wavelength of photon = 7.019 × 10⁻¹³ m

Total energy of photon = 1.77 MeV.

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(a.) At frequency ω2, the reactance of the inductor will be 7 times the reactance of the capacitor. (b). The ratio of the reactance of the inductor to that of the capacitor is 7:1. (c.) At frequency ω3, the reactance of the inductor will be 1/7th the reactance of the capacitor. (d.) The ratio of the reactance of the inductor to that of the capacitor is 1:7.

a. When the frequency is changed to ω2 = 7ω1, the ratio of the reactance of the inductor to that of the capacitor is 1:7. This is because when the frequency increases, the reactance of the inductor increases while the reactance of the capacitor decreases.

b. The formula for calculating the ratio of the reactance of an inductor to that of a capacitor is Xl/Xc = (ω2/ω1)^2. Therefore, the ratio of the reactance of the inductor to that of the capacitor when the frequency is changed to ω2 = 7ω1 is 49:1.

c. When the frequency is changed to ω3 = ω1/7, the ratio of the reactance of the inductor to that of the capacitor is 1:49. This is because when the frequency decreases, the reactance of the inductor decreases while the reactance of the capacitor increases.

d. The formula for calculating the ratio of the reactance of an inductor to that of a capacitor is Xl/Xc = (ω3/ω1)^2. Therefore, the ratio of the reactance of the inductor to that of the capacitor when the frequency is changed to ω3 = ω1/7 is 1:49.

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Time taken by the ball to reach its original height is 4 seconds.

The vertical motion is a motion that occurs when we toss an object completely up. Because the initial velocity or force is only applied in the vertical axis, this motion only moves vertically; if there is any horizontal movement, the air is to blame.Because a uniformly accelerated motion typically goes in the "x" axis, the vertical motion could be viewed as a version that moves in the "y" axis. The acceleration of the vertical motion will be equal to the gravity, therefore it can be thought of as a uniformly accelerated motion.

Given that gravity is an acceleration that points downward, it will always have a negative sign. One of the key prerequisites for vertical motion is that the object's initial velocity must be greater than zero; otherwise, the object will begin to rise and slow down until its initial velocity equals zero, at which point it will begin to fall and its velocity will steadily increase in the opposite direction until it collides with the ground.

The time take by the ball to reach back to its original height will be equal to twice of time taken to reach its maximum height.

According to the kinematic equations of motoion we know that

v = u + at

Here v = final velocity, u = initial velocity , a = acceleration, t = time taken to reach maximum height

We know that;

v = 0 m/s

u = 19.6 m/s

g = -9.8 m/s^2

Thus

t = v - u/a

 = 0 - 19.6/ (-9.8)

= 2s

Thus time taken by the ball to reach its original height is 2 x t = 4s.

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The hallmark of perceptual processes is the ability to determine that the direction of an object—even one that is not of a perceptual species—is the proper response. (Select A).

Direction can refer to a thing's course, the route one must follow to get there in particular, the direction something is beginning to take shape, or the direction you are facing. Going straight instead than left is an example of direction.

One is given instructions when they are given what to do and in what order. You are provided a set of instructions for many of your homework tasks and assessments. Understanding the motivation behind the instructions is crucial.

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The maximum transverse acceleration of a point on a wire is closest to 47,410 m/s²

The general wave function is:

y = A cos (ωt + Ф)

Where:

A = Amplitude

ω = angular frequency = 2πf

Ф = phase angle

The transverse acceleration is the second derivative of the above function:

a = d²y/dt²

  = -  ω²A cos (ωt + Ф)

Hence, the maximum transverse acceleration is:

a_max = ω²A

           = (2πf)²A

           = 4π²f²A = 4 x 3.14² x 570² x 3.7 mm/s²

           =  47,410 m/s²

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It took 5 minutes to establish the universe's primary chemical makeup.

Nucleosynthesis is the process by which new atomic nuclei are produced from pre-existing nuclei and nucleons (protons and neutrons). According to current beliefs, a process known as Big Bang nucleosynthesis took place a few minutes after the Big Bang to produce the first nuclei through nuclear reactions.

Star nucleosynthesis offers hints on both stellar evolution and the distribution of matter across the cosmos in space-time. Chemical abundances inside the solar system, which attest to their abundance at the time of solar system creation, provide a probe to nucleosynthesis in our galaxy.

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Answer:

On the other hand, acceleration is inversely proportional to the mass of the body being accelerated. That is, the greater the mass, the less acceleration.

Explanation:

The middle ear is the part of ear that needs equalisation when changing altitude or scuba diving.

The water pressure you are diving through will affect the pressure in your outer ear. The Tympanic Membrane, also known as the "Eardrum," is located between the outer and middle ears. If there is an imbalance in the pressure between the two ears, the Tympanic Membrane will flex, resulting in discomfort or suffering.

The Eustachian Tubes, which are used to blow air into the middle ear, work to counteract this. Since the Eardrum is the only flexible portion of the middle ear, breathing more air into the middle ear will create pressure inside the middle ear, which will then cause the Eardrum to bend back to its original position. As a result, equalisation.

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The initial speed of that car assuming a level road is 29.63 m/s.

The acceleration of the cars is calculated by applying Newton's second law of motion as shown below.

F = μmg

ma = μmg

a = μg

where;

The acceleration of the cars is calculated as follows;

a = 0.7 x 9.8 m/s²

a = 6.86 m/s²

The initial speed of the car is calculated by applying the following kinematic equation as shown below.

v² = u²  - 2as

where;

the final velocity of the car when it stops = 0

0 = u²  - 2as

u² = 2as

u = √ (2as)

u = √ (2 x 6.86 x 64)

u = 29.63 m/s

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The final temperature of the gas will be 40 degrees Celsius.

The average kinetic energy of gas particles is proportional to the absolute temperature of the gas, and all gases at the same temperature have the same average kinetic energy.

The temperature of a substance is directly related to its kinetic energy. Kinetic energy is the energy that a substance has because  its molecules are in motion, so when a substance absorbs heat, the molecules move faster and the  kinetic energy of the substance increases.

As the average kinetic energy of its particles increases, the  thermal energy of the object increases. Therefore, the thermal energy of an object increases as its temperature increases. Since the average Kinetic Energy has doubled, so has the absolute temperature.

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Parallax of vega is observed to be 0.13 arc seconds when observed from the standard base of 1 AU.

a) 7.713 parsec is the distance to vega in parsecs.

Thus, 25.15 light year is that distance in light years.

When the distance is large enough that the parallax angle is very small, the parallax angle is proportional to the inverse of the distance (1/d). Conversely, if we can measure the parallax angle, we know that the distance to the object is proportional to the inverse of that angle.

Given that,

the distance between sun and vega = d

distance between sun and earth = L

angle (θ) = 0.13 arc second

θ = 0.13 × 0.000278°

θ = 3.61 × 10⁻⁵

tan θ = 1 AU /d

or, d = 1 AU / tan θ

or, d = 1 AU / tan (3.61 × 10⁻⁵)

or, d = 1.591 × 10⁶ AU

and 1 AU = 4.848 × 10⁻⁶ parsec

Thus, d = 7.713 parsec.

1 AU = 1.581 × 10⁻⁵

d = 25.15 light year.

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The slit width to wavelength ratio due to which the first minimum of single slit diffraction pattern appears = 1 : 0.5

According to the question, we know that we have to calculate the ratio of slit width to wavelength,

Given, A single-slit diffraction

The angle at which the diffraction pattern is occurring = 30°

Order of diffraction given  = 1 ( minimum )

We could calculate the path diffraction using the formula,

d sinθ = nλ ( minimum )

d sin 30 = 1 x λ

d / λ = 1 / sin 30

d / λ = 1 / 0.5

d : λ = 1 : 0.5

Therefore, the slit width to wavelength ratio due to which the first minimum of single slit diffraction pattern appears = 1 : 0.5

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A cyclist peddles from 5ft/s to 12ft/s over the distance of 50 ft. The acceleration will take place for 1.19ft/s^2. It can be calculated by the formula v^2-u^2 = 2as.

v^2-u^2 = 2as

a=v^2-u^2/2s =144-25/2(50)

a=119/100 =1.19ft/s^2

What is acceleration?

The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. The rate at which velocity changes is called acceleration.

What three forms of acceleration are there?

The three main types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration.

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A cyclist peddles from 5ft/s to 12ft/s over the distance of 50 ft. The acceleration will take place for 1.19ft/s^2. It can be calculated by the formula v^2-u^2 = 2as.

v^2-u^2 = 2as

a=v^2-u^2/2s =144-25/2(50)

a=119/100 =1.19ft/s^2

The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. The rate at which velocity changes is called acceleration.

The three main types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration.

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The energy stored in the spring is 4 j when it is stretched 0.40 meters; the spring constant is 50 nm.

Elastic potential energy to define is the potential energy stored in spring when it is stretched by an external force. The energy remains stored before force is removed.

The force that needed to stretch the elastic body is directly proportional to displacement, means extension. It is given as

F =kx

Wherein,

k = spring constant

x = displacement

The Elastic Potential Energy Formula of the spring stretched is given as

P.E. = 1/2 k[tex]x^{2}[/tex]

Where,

P.E = elastic potential energy and it’s expressed in Joule.

To calculate P.E. =1/2 ×0.5 ×0.4 × 0.4 j

                           = 4j

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Answer:

No the car did not skid

Explanation:

What is kinetic friction?

Kinetic friction is all about trying to stop one surface from skidding against another surface. When you have two things such as the wheel and the ground sliding against each other, this is kinetic friction.

Given:

The distance cover by the car is 3.5 m

radius ,r = 0.25m

Hence ,

The disctance the car will cover :

s = revolution x 2πr

s = 3 x 2*(3.14)*0.25

s = 4.71 m

Thus the car should cover 4.71 m but it only completes 3.5m as per given scenario.

Hence , the car will not skid.

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It is assumed that,

Initial speed of the vehicle: u = 50 mph = 73.34 ft/s

Finally, it stops, or v = 0 (car deceleration, a = - 44 ft/s2).

The distance traveled before the car comes to a stop must be determined. Allow the distance to be s. The third law of motion can be used to compute it as:

v² - u² = 2as

s = v² - u²/ 2a

s = 0 - ( 73.34 ft / s )² ÷ 2 - {-44} ft/ s²

s = 61.13 ft

Therefore, the car travels 61.13 feet before coming to a stop. As a result, this is the necessary solution.

Deceleration is the opposite of acceleration. The deceleration will be computed by dividing the final velocity minus the initial velocity, by the amount of time is taken for this drop in velocity.

If the deceleration is constant, we know that stopping distance is equal to the area under the v − t graph or D s = 1 2 × v × t s, where ts is the stopping time. So D s = 1 2 × 13.4[m / s] × t s[s] = 0.030 m.

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Answer:

the answer is 0.5 m/s it's c

The statement "The angular momentum of the propellers of a small airplane point directly forward from the plane" is false.

Angular momentum is a measure of an object's rotational motion and is defined as the product of the object's moment of inertia and its angular velocity. In the case of an airplane, the propellers spin about an axis that is perpendicular to the plane's direction of motion, so the angular momentum of the propellers points in the direction of this axis.

This direction is not necessarily directly forward from the plane and can vary depending on the orientation of the propellers and the plane's motion. Therefore, it is not true that the angular momentum of the propellers of a small airplane points directly forward from the plane.

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If the potential energy of pendulum increases then the kinetic energy decreases and if the kinetic energy increases then the potential energy decreases, thus conservation of energy remains constant.

According to the work power theorem the total energy of any object will remain constant like the sum of the kinetic and the potential energy of the object will remain constant.

The potential energy of any object is due to its position with respect to the ground. If the object is at a height of H then it will have a potential energy because some energy is given to that object against the gravity to move it to the height H.

The kinetic energy is the energy due to the velocity of the object and is given as the product of half mass to the velocity square.

we will express it in the form of the formula for better understanding:

Mechanical energy = Kinetic energy + potential energy

Now in the pendulum the motion is back and forth with respect to its mean position. So the mechanical energy (total energy) in the pendulum is the sum of the kinetic energy and the potential energy.

Now if the pendulum attains the maximum displacement from its mean position then it will have maximum potential energy and zero kinetic energy at this point.

Now if the pendulum is at the mean position now it will have maximum kinetic energy and zero potential energy at this point.At this point the potential energy totally converted to the kinetic energy.

Now at the maximum displacement the kinetic energy totally converts into the potential energy of the pendulum.

Thus If the potential energy of pendulum increases then the kinetic energy decreases and if the kinetic energy increases then the potential energy decreases.

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The pressure doubles and the density of sample of gas remains the same when the absolute temperature of a sample of monatomic ideal gas is doubled at constant volume.

The effect of doubling the absolute temperature of a sample of a monoatomic ideal gas is that, the pressure doubles and density of the sample of gas remains the same.

According to ideal gas equation; PV = nRT; Where P is pressure and V is the Volume, n is the number of moles, R is the ideal gas constant and T is the absolute temperature.

Therefore, when the temperature of the mono atomic ideal gas is doubled, the pressure of the gas will also doubles.

However, in a closed chamber mass of the ideal gas is invariant, since density depends only on the mass and volume therefore the density of the ideal is gas will remain the same.

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The magnitude of the change in the object's momentum is c)80N-sec. So, option c is correct.

The momentum is defined as the consequence of a molecule's speed and its mass. Power and movement, meaning it has both greatness and the heading. As per Isaac Newton's second condition of movement, the power following up on a molecule rises to the time pace of increment of force.

We are given that the initial momentum of the system is 0.

Using the results of Newton second law of motion, we get

F = m × a

a = F/m

a = 10/6

a = 1.67 m/s²

Now, with the help of this acceleration, we can find the final velocity of the object.

So, according to first equation of motion, we get

v = u + at

v = u + (1.67)×(8)

v = 0+13.33 m

=>v=13.33 m

Now, we know momentum is given the cross product of mass and velocity.

Therefore, p = m × v

p = 6 × 13.33

or p = 80 N-s

Hence, change in object's momentum is c)80N-sec

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(Complete question) is:

A net force of 10 newtons acts on an object of mass 6.0 kilograms for 8.0 seconds. What is the magnitude of the change in the object's momentum?

a. 48 N-s

b. 60. N-s

c. 80. N-s

d. 480 N-s

The formula for calculating elastic potential energy stored in spring is elastic potential energy = 0.5 × spring constant ×extension square.

When an elastic body is deformed, energy stored in the body is called elastic potential energy. This energy gets stored in the object till the time it is deformed. When force is removed, this energy changes into kinetic energy.

An object that can store elastic potential energy has a high elastic limit. When an object is deformed beyond the elastic limit, it can not gain its shape after removing force.

The force that is needed to stretch the spring is directly proportional to its displacement. It is given as

F =k x

Wherein,

k = spring constant

x = displacement

The Elastic Potential Energy Formula of the spring stretched is given as

P.E. = 1/2 k

Where,

P.E = elastic potential energy and it’s expressed in Joule.

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The focal length of projection lens is  0.039m.

The opposite of a concave lens is a convex lens. Contrary to concave lenses, light rays converge in convex lenses. In contrast to the concave lens, the convex lens is bigger in the middle and thinner at the edges, therefore it converges the incident rays into its central axis.

Instead of being bent inward, the convex lens' edges are curved outward. The image seems smaller and inverted when the light is extremely focused beyond the focal length of the lens.

A convex lens's opposite side's center of curvature, , creates the image of an object placed in the center of curvature, , of the lens. As seen in the given illustration, the picture that forms is inverted and the same size as the object.

The image is inverted

h/H

= -1.8/0.024

the distance from slide to screen d=p+q=76p

M =75

d=p+q=76p

p= 0.0395m

p= 39.5cm and q = 75p = 2.96

and

a)1/0.395+1/2.96=1/f

f = 0.039m

b) from above p = 39.5 mm

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The coefficient of friction between the rope and the support is 0.34

The amount of friction between two surfaces is measured by the coefficient of friction, or. A low coefficient of friction value means that less effort is needed to cause sliding than would be needed if the coefficient of friction were to be high.

We have to solve this problem by making use of the Capstan's equation

The equation is given as:

[tex]T_{load } = T_{hold} e^u^o[/tex]

u is μ , the coefficient of friction

o is Φ

the load = 7000

the hold support is 100N

Φ = 2π for a complete rotation

given that the rope is wrapped for 2 times we would have Φ = 4π

then

[tex]7000 = 100e^u^4^\pi[/tex]

take the log of both sides

u = log7000 / 100*4π

u = 0.338

Hence the coefficient of friction from what has been calculated is 0.34

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If placed in groundwater, a 0.60 kg gold crown would rise by a buoyant force of almost 11.58 N. You can ascertain the same using the formula provided:

Buoyant force = density of fluid x Volume of object x gravitational acceleration

= 1000 kg/m3 x 0.60 kg/m3 x 9.81 m/s2

= 11.58 N

When an item is submerged in a fluid, buoyant force, a kind of uplifting force, is applied to that item. An entity's buoyant force is proportional to the amount of both the fluid it has evacuated.

Step 1: Calculate the volume of the crown

Mass divvied up by concentration is just the formula for calculating an item's volume. The golden crown inside this instance weighs 19.3 x 103 kg/m3 in terms of density.

Volume = 0.60 kg/19.3 x 103 kg/m3

Volume = 0.0031 m3

Step 2: Determine how much water has been displaced by mass.

The crown's volume times the water is probably density gives the amount of water that is evacuated. Freshwater has a 1,000 kg/m3 density.

Mass of water moved is 0.0031 m3 times 1,000 kg/m3.Water displacement weight is equal to 3.1 kg

Step 3: Determine the buoyant force.

The buoyant force that an item experiences is proportional to the mass of the fluid which that item has displaced. The water that was removed weighs 3.1 kg in particular instance.

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The pendulum's length should be decreased to 0.9840 m.

Given that, clock loses 26 s per day

Length of the pendulum = 0.9930 m

In a day there are, 24* 60* 60 = 86400 sec/day

We know the formula for time period as ,

T = 2π √(l/g)

⇒ 2π* √(0.9930 / 9.8) = 2.00005277 sec

Error ratio = 26/86400 = 0.00030093 = 3.009 * 10⁻⁴

T error = 2.00005277 * 3.009 * 10⁻⁴ = 6.0181 * 10⁻⁴

T correct = T original - T error

⇒ 2.00005277 - 0.00060181 = 1.99 sec

T = 2π √(L/g), where L is the new length

Making L as subject, we have,

L = g* T²/ 4π² = 9.8* 1.99² / 4* 3.14² = 38.81/39.44 = 0.9840

Thus, to obtain the correct time, reduce the length of the pendulum to 0.9840m.

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With a wetted area of 3500 square metres and a length of 125 metres, a ship can travel at a maximum speed of 7.2 m/s. Power output from propellers is 1100 kilowatt. Also disregarded is wave drag.

The speed of a change in an object's location in any direction. Speed is defined as the ratio of distance to the amount of time it took to cover that distance. Due to its lack of magnitude and merely having a direction, speed is a scalar number. Power is the quantity of energy that is transferred or transformed in a certain length of time. The watt, which is equal to one joule per second in the International System of Units, is the unit of power. Power may also be referred to as activity in earlier writings.

R is equal to 1025*125/0.00107 power, or 0.0217 v(1025/2).

V^2*3500\sV =7.2m/s

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The frequency of the wave is 34Hz if speed of sound wave is 340m/sec and wavelength is 10Hz.

Frequency implies the amount of cycles in a particular unit of time. The support for why the sky is blue or anything contains assortment can be actually figured out by it. Besides, it can in like manner get a handle on why the voice of specific individuals is significant while for others it isn't significant. Moreover, repeat plays a significant impact on the notes of a piano or different instruments.

This number of occasions is verifiably a key property of a wave. The waves envelop people reliably. Besides, light is an electromagnetic wave and the fan is a sound wave. A wave is certainly a vibration and conveys energy with it. By and large objective, the amount of waves passing by each second suggests the repeat of the wave. Likewise, its assessment occurs in Hertz (Hz).

We know that for sound wave, there is a formula

c=ν×λ

where c is the defined as the speed of sound wave in any medium,

v is defined as the frequency of wave

and  λ is defined as the wavelength of the wave

So, we have speed(c) of sound waves=340m/sec

frequency(v)=? and wavelength(λ)=10m

=>340 = v×10

=>340/10=v

=>v=34/sec or

=>v=34Hz.

Hence, frequency of wave is 34Hz.

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(Complete question) is:

What is the frequency of the wave use 340 m/s as the speed of the sound wave and frequency of the wave is 10Hz?

The best approximation is 201.0 [tex]in^{2}[/tex]

we know that

The area of the circle is equal to

[tex]A= \pi r^{2}[/tex]

In this problem we have

r =8 in

[tex]\pi =3.14[/tex]

substitute

A= (3.14) ([tex]8^{2}[/tex]) =201.0 [tex]in^{2}[/tex]

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