you drive down the road at 31 m>s (70 mi>h) in a car whose tires have a radius of 34 cm. (a) what is the period of rotation of the tires? (b) through what angle does a tire rotate in one second?

Answers

Answer 1

(a) The period of rotation of the tires is approximately 0.069 seconds. (b) In one second, a tire rotates through an angle of approximately 91.2 radians.


(a) First, we need to find the circumference of the tire, which is the distance it covers in one rotation. Circumference (C) = 2 * π * radius, so C = 2 * π * 0.34 m ≈ 2.14 m. Now, we can find the number of rotations per second (frequency) by dividing the speed by the circumference: frequency = 31 m/s / 2.14 m ≈ 14.49 rotations/s. To find the period of rotation (time for one rotation), take the reciprocal of the frequency: period ≈ 1 / 14.49 s ≈ 0.069 seconds.

(b) The tire rotates 14.49 times per second, so in one second, it covers an angle of 14.49 * 2π radians, which is approximately 91.2 radians.

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Related Questions

A point charge produces an electric flux of +305 N⋅m2/C through a gaussian sphere of radius 15.0 cm centered on the charge. a What is the flux through a gaussian sphere with a radius 29.0 cm ?b What is the magnitude of the charge?

Answers

Given

The electric flux is

\(\phi=+305\text{ Nm}^2\text{ /C}\)

Radius of the sphere,

\(r=15.0\text{ cm}\)

To find

a. The flux through a gaussian sphere with radius of 29.0 cm.

b. The magnitude of the charge

Explanation

a. Since the gaussian sphere covers the same charge so the electric flux through both the sphere will be same.

Thus the required flux is

\(\phi=305\text{ Nm}^2\text{ /C}\)

b.

The magnitude of the charge is

\(\begin{gathered} Q=\phi\epsilon_o \\ \Rightarrow Q=305\times8.85\times10^{-12} \\ \Rightarrow Q=30.97\times10^{-12}\text{ C} \end{gathered}\)

Conclusion

a. The flux is

\(305\text{ Nm}^2\text{ /C}\)

b. The charge is

\(30.97\times10^{-12\text{ }}C\)

An object is moving at a speed of 20 m/s and has a kinetic energy of 10,000 J. What is the mass of the object?

Answers

Answer:

m=100kg

Explanation:

E=1/2mv^2

10000=1/2m(20)^2

10000=1/2m(400)

10000=1/2m200

50=1/2m

100=m

What acceleration will result when a 12N net force applied to a 3 kg object?

Answers

Answer:

a=4m/s2

Explanation:

1. A magnet is floating motionless above another magnet in a container.
What are all the forces acting on the lower magnet?

Answers

Answer:

The two forces act in opposite directions. The forces get stronger as the magnets get closer together.

Explanation:

17. What is the definition of condensation?

Answers

The definition of condensation is water which collects a droplet on a cool surface when humid air is in contact with it
The conversion of vapor or gas to a liquid

Hurry!!!! Through which substance would sound travel the fastest? A:steel B:Water C:Air

D:Coffee

Answers

I think it will be C. Air

Sound travels the fastest through  steel. So, option (A) is correct,

What are the effects of medium in speeds of sound ?

Depending on the medium that it is moving through, sound has a wide range of speeds. The stiffness of the medium (or compressibility in the case of gases) and its density work together to define the speed of sound in that medium. The speed of sound increases with the rigidity (or lack of compressibility) of the medium. The speed of sound decreases with increasing medium density.

Due to air's ability to be compressed, the speed of sound in air is low. The speed of sound is often higher in liquids and solids than in gases because they are more rigid and difficult to compress than gases. Given that temperature impacts density, the speed of sound is somewhat correlated with the temperature of the material it is travelling through, particularly for gases.

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A spring has a force of 2.0N and an extension of 0.30m. What will the extension be if the force applied is 6 N.


Will mark as brainliest

Answers

Answer:

0.9 m

Explanation:

Hooke’s Law

\(\large\boxed{F = ke}\)

where:

F is the force in newtons (N).k is the 'spring constant' in newtons per metre (N/m).e is the extension in metres (m).

Given values:

F = 2.0 Ne = 0.30 m

Substitute the given values into the formula to find k:

\(\implies 2.0=0.30k\)

\(\implies k=\dfrac{2.0}{0.30}\)

\(\implies k=\dfrac{20}{3}\; \sf N/m\)

To find the extension if the force applied is 6 N, substitute the found value of k and the given value of F into the formula and solve for e:

\(\implies 6=\dfrac{20}{3}e\)

\(\implies 18=20e\)

\(\implies e=\dfrac{18}{20}\)

\(\implies e=0.9\; \sf m\)

1. Black Panther ran 567.6 km to the east in 23 hours then turned around and ran 221.8 km to the west in 1.2 hours. What was his average velocity during the trip in km h?p​

Answers

Answer:

80.08 km/h

Explanation:

Given that Black Panther ran 567.6 km to the east in 23 hours

Velocity = distance covered/time

Substitute the distance covered and time into the formula

Velocity = 567.6/23

Velocity = 24.68 km/h

then turned around and ran 221.8 km to the west in 1.2 hours.

Velocity = 221.8/1.2

Velocity = 184.83 km/h

What was his average velocity during the trip in km/h ?

Average velocity = (V + U)/2

Since the two velocity are opposite to each other, the average velocity will be:

Average velocity = (-24.68 + 184.83)/2

Average velocity = 160.15/2

Average velocity = 80.08 km/h

Therefore, his average velocity during the trip is 80.08 km/h

Calculate the kinetic energy possessed by an electron when it gets ejected from an atom if the energy supplied to eject the electron is 3.0 eV and threshold energy is 1.5 eV. 1eV

Answers

Answer:

KE = total energy available - energy required to eject (threshold)

KE = (3 - 1.5) eV = 1.5 eV

When a car velocity is negative and its acceleration is negative, what is happening to the cars motion?

Answers

Answer:

The car is speeding up in a negative direction.

Explanation:

You are provided with a photovoltaic panel that comprises 60 individual silicon cells connected in series. The panel produces an open circuit voltage of 37.5V and a short circuit current of 8.73A when illuminated under AM1.5, 1kW/m² solar spectrum at 300K. The area of each cell is 272.25 cm². (a) What is the maximum power that this panel can provide under the illumination conditions defined above? (b) Towards noon, the solar irradiance has increased to 1.5kW/m2. Making clear your assumptions, calculate the maximum power that the panel produces in this situation. (c) From the above situation, explain why a maximum power point tracker (MPPT) is needed in photovoltaic systems.

Answers

By dynamically tracking the MPP, the MPPT maximizes the power output of the photovoltaic system, improving its overall efficiency and maximizing energy production.

The maximum power that the provided photovoltaic panel can generate under the given illumination conditions can be calculated using the following steps. First, we need to determine the fill factor (FF) of the panel, which represents the efficiency of converting sunlight into electrical power.

The fill factor is the ratio of the maximum power point (Pmax) to the product of the open circuit voltage (Voc) and the short circuit current (Isc). Given that Voc is 37.5V and Isc is 8.73A, we can calculate the fill factor as follows:

FF = Pmax / (Voc * Isc)

Next, we need to determine the maximum power point voltage (Vmp) and current (Imp) of the panel. These values can be found by multiplying the open circuit voltage and short circuit current by the fill factor:

Vmp = Voc * FF

Imp = Isc * FF

Finally, we can calculate the maximum power (Pmax) using the equation:

Pmax = Vmp * Imp

For the given panel, the maximum power under the defined illumination conditions would be the product of Vmp and Imp, which can be calculated using the fill factor derived from Voc and Isc.

Assuming the same panel, but with an increased solar irradiance of 1.5kW/m², the maximum power produced can be estimated by considering that the open circuit voltage remains constant, while the short circuit current is expected to increase. The fill factor and maximum power calculations can be performed using the new values of Isc and the fill factor derived from Voc and Isc.

A maximum power point tracker (MPPT) is needed in photovoltaic systems to ensure that the photovoltaic panel operates at its maximum power point (MPP) under varying environmental conditions. The MPP is the point at which the panel produces the highest possible power output.

Since solar irradiance and temperature can fluctuate throughout the day, the MPP can shift, resulting in suboptimal power generation if the panel is not continuously adjusted. An MPPT continuously monitors the panel's voltage and current and adjusts the operating point to maintain the MPP.

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Which object has potential energy?(1 point)
Responses

unlit lightbulb
unlit lightbulb

rock on the ground
rock on the ground

stereo speaker
stereo speaker

can of gasoline

Answers

The object that has potential energy is the can of gasoline.

What is potential energy?

Potential energy is described as the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors.

The forms of potential energy includes:

Elastic Potential Energy.Electrical (Electromagnetic) Potential Energy.Gravitational Potential Energy.Nuclear Potential Energy.

Potential energy is described as the energy a system has due to position, shape, or configuration.

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If two objects are repelling each other, that means they have _________ electrical charges.

Answers

Answer:

the same

Explanation:

if that is what you are asking

The electric field inside a conductor in electrostatic equilibrium is.

Answers

In an electrostatic equilibrium condition, the electric field inside a conductor is zero.

The area around a charged body in which it can exert an electrical force on another charged body is known as the electric field.

The electric field is caused by a difference in electric potential energy per unit charge between two locations.

Electric field inside a conductor: The electric field inside a conductor in electrostatic equilibrium is always zero.

This is due to the fact that charges in an electric conductor are free to move and redistribute themselves until they reach equilibrium.

As a result, any electric field inside the conductor is canceled out by the redistribution of charges in the conductor.

The electric field is proportional to the charge per unit area inside the conductor.

The electric field is zero, so there is no charge per unit area inside the conductor, resulting in no electric field.

Therefore, the electric field inside a conductor in electrostatic equilibrium is zero.

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HELPPPPPPPPPPPPPPPPPPPPPPPPPP

HELPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

C

Explanation:

through the desk....here desk is the student's medium to hear the sound. its oblivious because when he lifts his head away from the desk he hears nothing else

A 10-kg piece of aluminum (which has a specific heat of 900 J/kg×°C) is warmed so that its temperature increases by 5.0 C°. How much heat was transferred into it?

Answers

To calculate the amount of heat transferred into the 10-kg piece of aluminum, we can use the formula:

Q = mcΔT

where Q is the amount of heat transferred, m is the mass of the aluminum (10 kg), c is the specific heat of aluminum (900 J/kg×°C), and ΔT is the change in temperature (5.0°C).

Substituting these values into the formula, we get:

Q = (10 kg) x (900 J/kg×°C) x (5.0°C)

Q = 45,000 J

Therefore, the amount of heat transferred into the 10-kg piece of aluminum is 45,000 J.

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to lift
With a pulley system, you use more rope (distance), but need less (blank) to lift
the load

Answers

Ok so it is working ok!

Which of the following is an example of an electromagnetic wave ?

Answers

Answer:

Its a wave

Explanation:

THis is one

Answer: a light wave

Explanation: a pex

Which of the following is an example of an electromagnetic wave ?

This type of mutation occurs when one or more base pairs are added to the gene sequence.

Answers

Answer:

Insertion

Explanation:

It causes a frameshift.

A horizontal net force F is exerted on an object at rest. The object starts at x= 0 m and has a speed of 4.0 m/s after moving 6.0 m along a horizontal frictionless surface. The net force F as a function of the object's position x is shown below.

what is the mass of the object?

A horizontal net force F is exerted on an object at rest. The object starts at x= 0 m and has a speed

Answers

A horizontal net force f is exerted on a 4.0 kg object at rest. The object starts at x = 0 m and travels 6.0 m along a horizontal frictionless surface. The net force F as a function of the object's position x is shown below.

What is the velocity of the object?

Answer: 6.7 m/s

if the power of sound at the source outlet is 100 w, what is its intensity at 4 m away from the source?

Answers

The intensity of sound is inversely proportional to the square of the distance from the source. The intensity of sound at 4 m away from the source is approximately \(0.993W/m^{2}\) (watts per square meter).

The intensity of sound is defined as the power per unit area. According to the inverse square law for sound propagation, the intensity of sound is inversely proportional to the square of the distance from the source. Mathematically, it can be expressed as

\(I=P/(4\pi r^{2})\)

where I is the intensity, P is the power, and r is the distance from the source.

Given that the power of sound at the source outlet is 100 W and the distance from the source is 4 m, we can substitute these values into the formula. Thus, we have

\(I = 100 W / (4\pi (4 m)^2)\)

Simplifying this expression, we find that the intensity of sound at 4 m away from the source is approximately \(0.993W/m^{2}\) (watts per square meter).

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a cat has a mass of 3 kg and runs at a speed of 6 m/s. how much KE does the cat have

Answers

Answer:We have: K.E. = 1/2 mv²

Here: m = 3 Kg

v = 6 m/s

Substitute their values,

K.E. = 1/2 * 3 * 6²

K.E. = 1/2 * 3 * 36

K.E. = 54 J

In short, Your Answer would be 54 Joules

/jaydenolnger1988 is right!

Why do we charge a capacitor under a DC voltage source only?

Answers

Capacitors are essentially two plates that are mounted next to each other, with a gap between them so that the plates don't touch. Direct current can't jump the gap between plates, because it would take a massive amount of voltage to force the electron to jump the gap between plates. The electrons hit the plate and stop. Alternating current, on the other hand, is moving the electrons back and forth in place -- so the plate on one side of the capacitor is constantly having electrons pushed in and then pulled back out. This motion creates a small electric field which induces the same alternating current in the other plate, because electric fields can jump the gap between plates. Therefore it is possible with ac supply only to make capcitor work.

2. A loop of wire of area 0.7 m is moving into a 0.9 T magnetic field. If it takes 5
seconds for the loop to move from completely outside the field to completely inside the
field, what emf is produced?

Answers

Answer:

fem = -0.126 V

Explanation:

Faraday's law is

          fem =  \(- \frac{d \phi}{dt}\)

where the flow is

          Ф = B . A = B A cos θ

bold letters indicate vectors.

In this case, the normal to the area is parallel to the magnetic field, so the angle is zero and the cos0 = 1

           fem = \(- A \ \frac{dB}{dt}\)

in this case they indicate that to carry the loop from outside to inside the field in Δt = 5 s, so we can change them by variations

           fem = \(- A \frac{\Delta B}{\Delta t}\)

let's calculate

           fem = - 0.7 (0.9 -0) / 5

           fem = -0.126 V

One design feature to ensure that the thermometer measured the desired range of temperature

Answers

Answer:

tube (sufficiently) long / not too short.

A refrigerator uses 200 j of energy per hour and takes 1200 j to get started. write an equation which expresses the amount of energy the refrigerator has used as a function of time. assume that the time is given in hours.

Answers

The equation that expresses the amount of energy the refrigerator has used as a function of time can be derived by considering two components: the energy used per hour and the initial energy required to start the refrigerator.

Let's denote the energy used per hour as E_hour and the initial energy required to start the refrigerator as E_start.

The total energy used by the refrigerator, E_total, can be calculated by multiplying the energy used per hour by the time in hours, t, and adding the initial energy required:

E_total = E_hour * t + E_start

In this case, the energy used per hour is given as 200 j, and the initial energy required is given as 1200 j. Therefore, the equation becomes:

E_total = 200t + 1200

This equation expresses the amount of energy the refrigerator has used as a function of time, where time is given in hours.

To calculate the energy used by the refrigerator at a specific time, substitute the desired value for t into the equation and solve for E_total.

For example, if you want to calculate the energy used after 3 hours:

E_total = 200 * 3 + 1200
        = 600 + 1200
        = 1800 j

So, after 3 hours, the refrigerator will have used 1800 joules of energy.

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If a grasshopper can jump straight upward to a height of 0.430 , what is its initial speed as it leaves the ground?

Answers

The initial velocity of the grasshopper as it leaves the ground is 1.90 m/s. We can calculate the initial velocity using the kinematic equation vf² = vi² + 2ad where vf = 0, a = g = 9.81 m/s², and d = 0.430 m. The initial velocity of the grasshopper is found to be 1.90 m/s.

The initial speed at which the grasshopper leaves the ground is to be determined given that the grasshopper can jump straight upwards to a height of 0.430 m.

To determine the initial speed, we will use the kinematic equation:

vf² = vi² + 2ad  where, vi is the initial velocity of the grasshopper

vf is the final velocity of the grasshopper

d is the height attained by the grasshopper

a is the acceleration due to gravity

We know that the acceleration due to gravity is a constant, g = 9.81 m/s², since the grasshopper jumps straight upwards, the final velocity is zero, and the distance travelled is equal to the height attained, which is 0.430 m.

Substituting these values in the above equation, we have:

0 = vi² + 2 × 9.81 × 0.430

Simplifying the equation, we get

vi = √(2 × 9.81 × 0.430) = 1.90 m/s

Therefore, the initial speed at which the grasshopper leaves the ground is 1.90 m/s.

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about how many stars are in our galaxy (the milky way galaxy)?

Answers

The Milky Way galaxy is the home of the Sun. Over 100,000,000,000 stars are thought to be present in the Milky Way alone, according to astronomers.

One of the many billions of galaxies in the cosmos is the Milky Way galaxy. The universe is a large region of space that houses everything that has ever existed. All the galaxies, stars, and planets are in the cosmos. Unknown is the precise size of the universe. According to scientists, the universe is still growing. At least 100 billion stars, including our Sun, make up the Milky Way, a spiral galaxy with a diameter of around 100,000 light-years. We are located in one of the four primary arms of the pinwheel-shaped constellation of stars, roughly two thirds of the way from the center. It is believed that the majority of the stars in our galaxy are home to their own families of planets.

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For this object, what color will you observe?

For this object, what color will you observe?

Answers

Answer:

blue

Explanation:

blue is the only color being reflected, meaning it's the only one that will be visible

what is the speed of a wave has a wavelength of 0.5 m/s and a frequency of 2 hz?

Answers

Answer: The equation that relates wavelength and frequency for electromagnetic waves is: λν=c where λ is the wavelength, ν is the frequency and c is the speed of light.

10/0.5=20 meter.

Explanation:

The speed of a wave has a wavelength of 0.5 m/s and a frequency of 2 hz is   0.25 m.

What is wave ?

Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.

Wavelength is the distance between two points on the wave which are in same phase. Phase is the position of a wave at a point at time t on a waveform.

There are two types of the wave longitudinal wave and transverse wave.

Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave. Sound wave is a longitudinal wave.

Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave. Light wave is a Transverse wave.

The relation between velocity, frequency  and wavelength is,

c = λν

Where λ is wavelength, ν is frequency and c is velocity.

Given,

c = 0.5 m/s

ν = 2 hz

λ = ?

Putting all the values in the equation,

0.5 = 2λ

λ = 0.5/2 = 0.25 m

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