How many conditions does the NEC list whereby conductors shall be considered to be outside of a building or other structure?

Answer:

The number of grains of sand on all the beaches on Earth

Explanation:

if we assume grain of sand has an average size , then the number of grains of sand on all the beaches on Earth is roughly [tex]7.5 \times 10^{18}[/tex]

The total number of stars in the observable universe is roughly equivalent to 1 billion trillion. which is roughly  equal to the number of grains of sand on all the beaches on Earth.

Answer:

[tex]r_{P}=2.58 m[/tex]

Explanation:

If we want to find how far up the ladder can a person climb before the ladder begins to slip, the total force in the y-direction and the total torque must be zero, it is an equilibrium condition.

So, let's start whit y-direction forces.

[tex]\Sigma F_{y}=0[/tex]  

[tex]N_{L}-W_{L}-W_{P}=0[/tex]

So, we can find the normal force:

[tex]N_{L}=m_{L}g+m_{P}g=g(m_{L}+m_{P})=9.8(267+1068)=13083 N[/tex]

We know that the friction force is the product of the coefficient of static friction times the normal force. Let's find it.

[tex]F_{f}=\mu N_{L}=0.53*13083=6934 N[/tex]

Referent to the x-direction forces, we can say that the total sum must be equal to zero too.

[tex]\Sigma F_{x}=0[/tex]  

[tex] -N_{wall}+F_{f}=0[/tex]

[tex] N_{wall}=F_{f}=6934 N[/tex]

Now, as we said before, the total torque must be zero, so we have:

[tex]\Sum \tau=\tau_{wall}+\tau_{L}+\tau_{P}=0[/tex] (1)

We will choose the pivot point at the bottom of the ladder, then we have:

Each force acting on the ladder must be perpendicular to the ladder, so we need to use the components.        

[tex]\tau_{wall}=r_{wall}*N_{wall}sin(32.7)=8.6*6934*sin(32.7)=32215.8Nm[/tex] (positive due to the counterclockwise rotation)

[tex]\tau_{L}=r_{L}*W_{L}sin(57.3)=(8.6/2)*2616.6*sin(57.3)=-9468.2 Nm[/tex] (negative due to the clockwise rotation)

[tex]\tau_{P}=r_{P}*W_{P}sin(57.3)=r_{P}*10466.4*sin(57.3)=-r_{P}8807.6 Nm[/tex] (negative due to the clockwise rotation)

We use 57.3° because is the angle between the ladder weight vector and the ladder surface, we use the same angle to the person.

Now we can use (1) to find the distance

[tex]\Sum \tau=\tau_{wall}+\tau_{L}+\tau_{P}=32215.8-9468.2-r_{P}8807.6=0[/tex]

Therefore [tex]r_{P}=2.58 m[/tex]

I hope it helps you!

Answer:

(a) 72°

(b) 40°

Explanation:

PENTAGON

First, we calculate the total angles in a Pentagon using:

180(n - 2)

Where n = number of sides of the polygon, in this case, 5.

Hence, the total angle in a polygon is

180(5 - 2) = 180 * 3 = 540°

Therefore, each angle will be:

540°/5 = 108°

Because the interior angle and exterior angle form a straight line (180°), the exterior angle of a regular pentagon will be:

180 - 108 = 72°

The exterior angle of a regular Pentagon is 72°

NONAGON

First, we calculate the total angles in a Nonagon using:

180(n - 2)

Where n = number of sides of the polygon, in this case, 9.

Hence, the total angle in a polygon is

180(9 - 2) = 180 * 7 = 1260°

Therefore, each angle will be:

1260°/9 = 140°

Because the interior angle and exterior angle form a straight line (180°), the exterior angle of a regular nonagon will be:

180 - 140 = 40°

The exterior angle of a regular Nonagon is 40°

Final answer:

Each exterior angle of a regular pentagon, which measures 72 degrees, is greater than each exterior angle of a regular nonagon, which measures 40 degrees, because the sum of the exterior angles of any polygon is always 360 degrees.

Explanation:

The question asks how the measure of each exterior angle of a regular pentagon compares to the measure of each exterior angle of a regular nonagon. To answer this, first, we need to understand that the sum of the exterior angles of any polygon is always 360 degrees, no matter the number of sides. Therefore, to find the measure of each exterior angle of a polygon, we simply divide 360 degrees by the number of sides.

For a pentagon, which has five sides, each exterior angle has a measure of 360 ÷ 5 = 72 degrees. For a nonagon, which has nine sides, each exterior angle has a measure of 360 ÷ 9 = 40 degrees. Therefore, the measure of each exterior angle of a regular pentagon is greater than the measure of each exterior angle of a regular nonagon.

Final answer:

The charge on A should be -2.0 C in order for the force on B to be zero.

Explanation:

In order for the force on charge B to be zero, the charge on A must be equal in magnitude but opposite in sign to the combined charge of charges C and D at the other corners of the square. Since both B and C have a charge of +1.0 C, A must have a charge of -2.0 C. This creates a symmetric distribution of charges, resulting in a net force of zero on charge B.

Answer:

Explanation:

attached below is the working to the question asked. I equated the two formulas because of the statement "If the same gravitational force is to be maintained between them" mentioned in the question. The new distance between them is 2.68m

Answer:

Compression Test

Explanation:

The Specimen is undergoing a compression test. It is similar to tensile test with the difference that the force is compressive and applied along the direction of stress. Both Tensile and compression tests are performed on Universal Testing machine. Compression test is done to determine the product's reaction when it is compressed, squashed and crushed.

Explanation:

We have equation of motion s = ut + 0.5 at²

        Initial velocity, u = 95 m/s

        Acceleration, a = -0.700 m/s²  

        Time, t = 1 minute = 60 seconds

     Substituting

                      s = ut + 0.5 at²

                      s = 95 x 60 + 0.5 x -0.700 x 60²

                      s = 4440 m

      Distance traveled is 4440 m

The airplane travels 4440 m in 1 minute

To find the distance the airplane will travel in 1.00 minute, use the equation d = [tex]vi * t + (1/2) * a * t^2[/tex]e, vi is the initial velocity, t is the time, and a is the acceleration. Substitute the given values into the equation and solve to find the distance.

To find the distance the airplane will travel in 1.00 minute, we need to use the equation:

d = vi * t +[tex](1/2) * a * t^2[/tex]

Where:

d = distance traveled

vi = initial velocity

t = time

a = acceleration

Using the given values:

vi = 95.0 m/s (initial velocity)

a = -[tex]0.700 m/s^2[/tex] (deceleration)

t = 1.00 minute = 60 seconds

Now we can substitute the values into the equation:

d = (95.0 * 60) + (1/2) * [tex](-0.700) * (60^2)[/tex]

Solving this equation will give us the distance traveled by the airplane in 1.00 minute.

Answer:

vf = 22.36[m/s]

Explanation:

First we must understand the data given in the problem:

m = mass = 800 [kg]

F = force = 20000[N]

dx = displacement = 10[m]

From newton's second we know that the sum of forces must be equal to the product of mass by acceleration.

[tex]F = m*a\\20000 = 800*a\\a = 20000/800\\a = 25 [m/s^2][/tex]

With the calculated acceleration, we can use the kinematics equations.

[tex]v_{f} ^{2} =v_{o} ^{2}+2*a*dx\\ v_{o} = initial velocity = 0\\a = acceleration = 25[m/s^2]\\dx= displacement = 10[m]\\[/tex]

The key to using this equation is to clarify that the initial velocity is zero since the body is at rest, otherwise the initial velocity would be an initial data.

[tex]v_{f} =\sqrt{2*25*10} \\v_{f} =22.36[m/s][/tex]

Another way of solving this problem is by means of the definition of work and kinetic energy, where work is defined as the product of the force by the distance.

W =F*d

W = 20000*10

W = 200000[J]

Kinetic energy is equal to work, therefore the value calculated above is equal to:

[tex]E_{k}=W =0.5*m*v_{f}^{2} \\200000=0.5*800*v_{f}^{2}\\v_{f}=\sqrt{\frac{200000}{0.5*800} } \\v_{f}=22.36[m/s][/tex]

Answer:

(A) 22.4 m/s

Explanation: hope this helps !

Answer:

D. The net force on an object applied over a distance

Explanation:

Work can be defined as the product of force multiplied by a distance

Where

F = force [Newtons]

d = distance = [meters]

Therefore:

Work = F * d

Work in units of Joules [J]

Answer:Ultraviolet radiation has shorter wavelengths and higher energy than infrared radiation.

Explanation: Electromagnetic radiation radiations which have both electrical and magnetic properties,they can be transmitted through space or through a medium.

It includes Gamma radiation, infra-red, visible light, Ultraviolet radiation etc they occur with different wavelength, the lower the wavelength the higher the Energy dissipated per photon. According to their order of decreasing wavelength and increased energy they are classified as follows.

RADIO WAVE, MICRO WAVE, INFRA-RED, VISIBLE LIGHT, ULTRAVIOLET RAY, X-RAY, GAMMA RAYS.

Ultraviolet radiation has shorter wavelengths and higher energy per photon compared to infrared radiation.

Ultraviolet radiation has shorter wavelengths compared to infrared radiation. While infrared radiation has wavelengths between 700 nm and 1 mm, ultraviolet radiation has wavelengths between 100 nm and 400 nm.

Ultraviolet radiation also has higher energy per photon compared to infrared radiation. This is because energy is inversely proportional to wavelength, so shorter wavelengths have higher energy.

For example, ultraviolet radiation is responsible for causing sunburns and skin damage, which is evidence of its higher energy compared to infrared radiation.

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Answer:

h = 22.35 m

Explanation:

given,

initial speed of the rock,u = 0 m/s

length of the window,l = 2.7 m

time taken to cross the window,t = 0.129 s

Speed of the rock when it crosses the window

[tex]v = \dfrac{l}{t}[/tex]

[tex]v = \dfrac{2.7}{0.129}[/tex]

  v = 20.93 m/s

height of the building above the window

using equation of motion

v² = u² + 2 g h

20.93² = 0² + 2 x 9.8 x h

h = 22.35 m

Hence, the height of the building above the top of window is equal to h = 22.35 m

Answer: 20231.75km

Explanation: Assuming the earth is a sphere with a radius r, the formulae for calculating the distance between 2 points on the earth surface is given as

[tex]l=\frac{\pi r}{180} *\alpha[/tex]

l = distance between two points on the earth surface (km)

π = 22/7

r = radius of the earth = 4000miles =6437.376 km ( we will be using kilometer because that is the SI unit for distance)

α = angle between the two cities on the earth surface. For our question, α=180 because one of the city is north and the second city is in the opposite direction (due north of the first)

By slotting in the parameters into the foemulae, we have that

[tex]l = \frac{\frac{22}{7} * 6437.376 }{180} * 180 \\\\l={\frac{22}{7} * 6437.376\\\\\\l=20231.751km[/tex]

Answer:

B

Explanation:

With projectiles, the maximum range is always achieved at a 45 degree launch angle.

Answer:

8.00 kJ

Explanation:

The first thing is to determine what quantities are there.

the mass of water = 1 000 kg

initial velocity, u = 6 m/s

final velocity, v = 4 m/s

the generator is operating at 100 % efficiency, so there is no energy loss.

The kinetic energy, Ek is converted to electrical energy, therefore Ek = electrical energy.

The kinetic energy is calculated as follows:

Ek = 1/2 mv²

    = 1/2×(1 000)× (4)²

    = 8 000 J/s

    = 8.00 kJ  Ans

Answer:

A) zero.

Explanation:

If we go through the throwing motion but still hold onto the ball, then there will be 2 events:

1. you undergo the throwing motion, giving the ball's acceleration  

2. you decelerate the ball so you can still hold onto it  

Event 1 and 2 roughly need the same energy, but with the opposite vector. The sum of energy used for both events should be zero so the net recoil will also be zero too.

Answer:

(A) FM Radio had a somewhat shorter ranger than AM radio, but better sound quality.

Explanation:

FM Radio was invented in 1933 by Edwin Armstrong who was an American engineer. FM stands for frequency modulation and AM stands for Amplitude Modulation.

FM is used for most broadcasts of music and FM radio stations use a very high-frequency range of radio frequencies.

In FM Radio, the sound is transmitted through changes in frequency. Both FM and AM radio signals experience frequent change in amplitude, they are far less noticeable on FM.

When switching between stations, FM antenna is alternating between different frequencies, and not amplitudes and this produces a much clearer sound and allows for smoother transitions with little to no audible static.

FM signals can be interfered by barriers and this could affect the signal strength. FM Radio signals are more clearer in a mountainous area that has no barrier.

AM radio was able to carry signals farther than AM radio.

Answer:

The electric field at point a =( 0.232N/c)k

Explanation:

E = E1+E2=(6/2Eo)K+(-6/2Eo)[1-(2/(sqrtz^2+R^2)k

E= 6z/2Eo(sqrtz^2+R^2)k

E= (4.5×10^-12)×(2.56×10^-2) /2(8.85×10^-12)sqrt(2.56×10^-2)^2+(1.30×10^-2)^2k

E= 1.152×10^-13/(1.77×10^-11)×(2.8×10^-2)k

E= 1.152×10^-13/(4.956×10^-13)k

E=( 0.232N/c)K

Answer:

This process involves the motion of dislocations and is termed slip (or glide in some textbooks)

Explanation:

Plastic deformation of metals (and other crystalline materials) usually occurs by slip, which is the sliding of planes of atoms over one another by dislocation movements.

On a microscopic scale, stress causes planes of crystalline objects to leave their original position and slide over other planes into new positions, these microscopic movements manifest as a slip on a macroscopic scale. And the planes do not return back to their original position after the removal of the dislocation-causing stress.

Answer:

Signal detection theory

Explanation:

Signal detection theory states that stimulus ca be detected according to its intensity and a person's psychological and/or physical state. This means that we can notice things according to how strong they are but also, a person's characteristics like experience and physiological state like fatigue can affect the ability to detect them.

Because of this, the answer is that according to signal detection theory, the ability to detect a stimulus depends not only on the intensity of the stimulus but also on other variables such as the level of noise in the system and your expectations.

Final answer:

Signal detection theory explains how the ability to detect a stimulus is influenced by both the stimulus intensity and psychological factors such as motivation and expectations, with practical examples like air traffic control demonstrating its significance.

Explanation:

According to signal detection theory, the ability to detect a stimulus depends not only on the intensity of the stimulus but also on variables such as the level of noise in the system and your expectations. Factors such as motivation can shift our ability to discriminate between a true sensory stimulus and background noise. For example, expecting an important phone call may lead you to think you hear the phone ringing while taking a shower, even though it is not. Similarly, a mother might wake up to the quiet murmur of her baby amidst other sounds because she is motivated to detect that specific stimulus.

Signal detection theory is not only a concept of psychological interest but also has practical applications, such as improving the accuracy of air traffic controllers. They need to detect planes among many signals on the radar screen, demonstrating the relevance of this theory in safety-critical professions. Furthermore, the theory incorporates the notion of both absolute threshold and difference threshold (or just noticeable difference), emphasizing the role of sensory capabilities alongside psychological factors in perception.

Answer:bob

Explanation:bc bob

Explanation:

We have equation of motion v = u + at

     Initial velocity, u = 0 m/s

     Final velocity, v = 22.2 m/s    

     Time, t = 3.42 s

     Substituting

                      v = u + at  

                      22.2 = 0 + a x 3.42

                      a = 6.49 m/s²

     Acceleration is 6.49 m/s²

Average acceleration is 6.49 m/s²

To stop just as the light turns green, the motorist needs to decelerate in a controlled manner. The effective time to cover the distance after seeing the red light is 14 seconds, disregarding the 1 second it takes to react and press the brakes. Therefore, as she reaches the traffic signal when it turns green, her speed is 0 m/s.

This situation can be approached using the concept of kinematics in Physics. To solve it, we need to consider total time and total distance traveled. The motorist is driving towards the traffic light, which is 200m away, and the light stays green for 15 seconds. However, since it takes her 1 second to step on the brakes, effectively, she has 14 seconds to travel to the light.

Since she starts braking the car, she begins to decelerate. While decelerating, time is the only determinant of the distance covered, not the speed. As she reaches the light, the speed would be zero regardless of the initial speed or distance if the deceleration is constant. So, when the light turns green, her speed will be 0 m/s.

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Answer:

Part A 12.9 m/s

Part B 36.9 m

Explanation:

Henrietta ran at 3.95 m/s. She was 6.5 seconds away from from the window when Bruce throws the bagel. This equates to a distance of d

[tex]d= 3.95\times6.5=25.675[/tex] (distance = speed x time)

If Bruce throws the bagel horizontally, the vertical component of the motion is purely under gravity with initial speed of 0 m/s. Using one of the equations of motion for the vertical motion,

[tex]h=ut+0.5at^2[/tex]

h = 39.9 m (height of the building)

a = 9.8 (acceleration of gravity)

[tex]t=\sqrt{\dfrac{2\times39.9}{9.8}}= 2.85[/tex]

During this time, Henrietta will have travelled another distance e

[tex]e =3.95\times2.85=11.2575[/tex]Therefore, Henrietta would have jogged a total distance of 25.675 + 11.2575 m = 36.9325 m.

The horizontal speed with which Bruce must throw the bagel is the total distance travelled by Henrietta divided by the time it takes to land vertically i.e.

[tex]v=\dfrac{36.9325}{2.85}=12.96[/tex]

Therefore, the speed of throw is 13.0 m/s.

Henrietta was 36.9 m from the window when she caught the bagel.

Part A. The speed at which the bagel was thrown horizontally is 12.9 m/s.

Part B. The total distance traveled by Henrietta when she caught the bagel from the window is 36.9325 m.

Given that, the speed of Henrietta is 3.95 m/s. When Bruce throws the bagel, the time difference between both of them is 6.5 seconds. Hence the distance can be calculated as given below.

Distance D = Speed [tex]\times [/tex] Time

[tex]D = 3.95 \times 6.50[/tex]

[tex]D = 25.675 \;\rm m[/tex]

Part A

Given that Bruce throws the bagel horizontally, then during the motion, the initial speed will be zero and the vertical component will have gravitational acceleration. In this case, the time required in motion can be calculated by the equation given below.

[tex]s = ut + \dfrac {1}{2} at^2[/tex]

Where, s is the distance, a is the acceleration, t is time and u is the initial speed.

For the horizontal motion, s = 39.9 m, g = 9.8 m/s^2 and u = 0 m/s. The time will be,

[tex]39.9 = 0 + \dfrac {1}{2}\times 9.8\times t^2[/tex]

[tex]t = 2.85 \;\rm s[/tex]

The time required to reach the bagels is 2.85 seconds. But in this time, the distance traveled by Henrietta is given below.

[tex]D' = 2.85 \times 3.95[/tex]

[tex]D' = 11.2527 \;\rm m[/tex]

Hence the total distance traveled by Henrietta is given below.

Distance = 25.675 + 11.2527

Distance = 36.9325 m.

The speed of the bagel is calculated as given below.

Speed = Total Distance / Time

[tex]v = \dfrac {36.9325 }{2.85}[/tex]

[tex]v = 12.9 \;\rm m/s[/tex]

Hence we can conclude that the speed at which the bagel was thrown horizontally is 12.9 m/s.

Part B

The total distance traveled by Henrietta is 36.9325 m. At this distance, Henrietta catches the bagel from the window.

To know more about the speed, follow the link given below.

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Answer:

neither one has a net force on it

Explanation:

Both vehicles are moving at steady velocity hence the acceleration zero.

since acceleration is zero , the net force on it is zero. therefore neither one has a net force on it

Answer:

The solution are in the explanation  

Explanation:

Volume varies with the cube of the linear dimension

Ratio of volumes is 3:1, therefore the ratio of the linear dimensions is 3^(1/3):1 = 1.442:1

Smaller statue is 350/1.442 cm = 242.7 cm

C = pi*D, D is a linear dimension, so Ds = 50/1.442 = 34.67 cm

Area varies with the square of the linear dimension; so the ratio of the areas will be (1/3)^(2/3) = 0.48; the surface area of the smaller statue will be 0.48 that of the original

The mass of the model would vary directly with the volume, so the mass of the model will be 1/3 that of the original

If the masses of the models are the same, then the model must be made of a material 3x the density of that used for the original.

In mathematics, scaling down a shape involves reducing its size while keeping its shape unchanged. To scale down a statue, you need to determine the scale factor by dividing the final volume by the initial volume. Then, apply the scale factor to each dimension of the statue.

In mathematics, scaling down a shape means reducing its size while keeping its shape unchanged. The process involves multiplying the dimensions of the shape by a scale factor less than 1.

In this case, the initial volume of the statue is 3.25 m3 and it needs to be scaled down to a final volume of 1.00 m3. To determine the scale factor, divide the final volume by the initial volume: 1.00/3.25 = 0.307.

Next, apply the scale factor to each dimension of the statue. If the dimensions of the statue were 2m x 2m x 2m, the scaled-down dimensions would be 2m x 2m x 2m x 0.307 = 0.614m x 0.614m x 0.614m.

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Answer:

[tex]F = 4.05\times 10^{9}\ N[/tex]

Explanation:

Given:

Exerts pressure

[tex]p = 2.41\times 10^{7}\ Pa[/tex]

Piston has an area

[tex]A = 168\ cm^{2][/tex]

We need to find the force exerted by piston.

Solution:

Formula of pascals law's is given as:

[tex]p=\frac{F}{A}[/tex]

Where:

F = Force applied

P = Pressure exerted

A = Cross sectional area

Substitute force and area in pascal's formula.

[tex]2.4\times 10^{7}=\frac{F}{168}[/tex]

Using cross multiplication.

[tex]F = (2.41\times 10^{7})\times 168[/tex]

[tex]F = 404.88\times 10^{7}[/tex]

[tex]F = 4.05\times 10^{9}\ N[/tex]

Therefore, the force exerted by piston [tex]F = 4.05\times 10^{9}\ N[/tex]

The piston exerts a force of 404,880 Newtons when the motor exerts a pressure of 2.41 x 10⁷ Pa on a fluid chamber with a piston area of 168 cm².

To determine the force exerted by the piston, we use the formula:

Force (F) = Pressure (P) × Area (A)

Given:

First, convert the area from cm² to m²:

1 m² = 10,000 cm²

A = 168 cm² / 10,000 = 0.0168 m²

Now, calculate the force:

F = 2.41 × 10⁷ Pa × 0.0168 m²

F = 404,880 N

Thus, the piston exerts a force of 404,880 Newtons.

Answer:

The average force is 1578.94 N.

Explanation:

Given that,

Mass of baseball = 150 g

Speed = 45 m/s

Speed of pitcher = 60 m/s

Time = 9.5 ms

We need to calculate the average force

Using formula of impulse

[tex]J=\Delta p[/tex]

[tex]J=m\Delta v[/tex]...(I)

[tex]J=F\Delta t[/tex]....(II)

From equation (I) and (II)

[tex]F=\dfrac{m(v_{f}-v_{i})}{\Delta t}[/tex]

Where, m = mass of baseball

[tex]v_{f}[/tex] = final velocity

[tex]v_{i}[/tex] = Initial velocity

[tex]\Delta t[/tex] = time

Put the value into the formula

[tex]F=\dfrac{150\times10^{-3}\times(60-(-40))}{9.5\times10^{-3}}[/tex]

[tex]F=1578.94\ N[/tex]

Hence, The average force is 1578.94 N.

Answer:

F = 1657.89 N

Explanation:

given,

mass of the baseball, m = 150 g

initial speed, u = 45 m/s

final speed, v = 60 m/s

time of contact,t = 9.5 ms

we know,

impulse is equal to change in momentum

J = m (v - u)

J = 0.15 x (60-(-45))

J = 0.15 x 105

J = 15.75 Kg.m/s

We also know that impulse

J = F x Δ t

F x 9.5 x 10⁻³ = 15.75

F = 1657.89 N

The magnitude of the average force is equal to F = 1657.89 N

Answer:

45

Explanation:

If the ratio is 1 : 8 and there was 5 girls you would need to find the ratio of 5 girls to x amount of boys then add both genders together to find the total amount. You would need to multiply 8x5 to find the amount of boys.

8x5=40

Then add the five girls

40+5=45

Answer:[tex]\vec{C}-\vec{B}[/tex]

Explanation:

Given

[tex]\vec{A}[/tex] is displacement of student from Hostel to house

[tex]\vec{B}[/tex] is displacement of student from house to school

And [tex]\vec{C}[/tex] is displacement of student from Hostel to school    

According to the triangle law of vector addition  

If two vectors are acting on a body simultaneously that are shown by magnitude and direction by two sides of a triangle taken in order then the third side is the resultant of two vectors that are taken in opposite direction.

[tex]\vec{A}+\vec{B}=\vec{C}[/tex]

[tex]\vec{A}=\vec{C}-\vec{B}[/tex]

so option c is correct

Explanation:

Radius , r = 7 m

Centripetal acceleration, a = 2.25 g = 22.07 m/s²

We have equation for centripetal acceleration

              [tex]a=\frac{v^2}{r}[/tex]

Substituting

              [tex]a=\frac{v^2}{r}\\\\22.07=\frac{v^2}{7}\\\\v=12.43m/s[/tex]

We have equation for frequency

             [tex]f=\frac{2\pi }{\omega }\\\\f=\frac{2\pi r}{v}\\\\f=\frac{2\pi \times 7}{12.43}=3.54Hz[/tex]

Revolutions per minute = 3.54 x 60 = 212.4

Revolutions per minute of rider is 212.4