A new truck has tires with a diameter of 32.0 inches. The tires have a tread-life warranty of 63,000 miles. (a) How many radians will the tires rotate through within the full warranty length? rad (b) How many revolutions is this equivalent to? rev

Answers

Answer 1

The tire will rotate through 249482394.5 radians and will turn 39706356.3 revolutions within the full warranty length.

The circumference of the tire can be found using the formula:

C = π × d

where d is the diameter of the tire. Substituting the given value, we get:

C = π × 32.0 in = 100.53 in = 8.3775 ft

(a) In one revolution, the tire will rotate through one full circle, which is equal to 2π radians. Therefore, the number of radians the tires will rotate through within the full warranty length is:

Number of radians = (Number of revolutions) × (2π radians/revolution)

To find the number of revolutions, we can use the formula:

Number of revolutions = Warranty length/Circumference of tire

Substituting the given values, we get:

The number of revolutions = (63,000 mi × 5280 ft/mi) / (8.3775 ft) = 39706356.3 rev

Therefore, the number of radians the tires will rotate through within the full warranty length is:

Number of radians = 39706356.3 rev × 2π radians/rev = 249482394.5 radians

(b) To find the number of revolutions, we can use the formula:

Number of revolutions = Warranty length/Circumference of tire

Substituting the given values, we get:

The number of revolutions = (63,000 mi × 5280 ft/mi) / (8.3775 ft) = 39706356.3 rev

Therefore, the number of revolutions the tires will rotate through within the full warranty length is approximately 39706356.3 revolutions.

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Related Questions

Please select the word from the list that best fits the definition

state of most nonmetals at room temperature

options: left, gas, semiconductor, halogen, right, solid, carbon nitrogen

Answers

Answer:

the answer is gas if I'm not mistaken.

Explanation:

Don't come at me if I'm wrong please :')

Two planets A and B, where B has twice the mass of A, orbit the Sun in circular orbits. The radius of the circular orbit of planet B is two times the radius of the circular orbit of planet A. What Is the ratio of the orbital period of planet B to that of planet A? T_B/T_A = 2 T_B/T_A = Squareroot 1/8 T_B/T_A = Squareroot 2 T_B/T_A = 1 T_B/T_A = 1/2 T_B/T_A = Squareroot 8 T_B/T_A = 1/8 T_B/T_A = 1/4

Answers

The ratio of the orbital period of planet B to that of planet A is T_B/T_A = Squareroot 8.

What are planets?

A planet is an astronomical object that orbits a star and does not produce its own light. The vast majority of the thousands of objects we call planets orbit a star in our Solar System. This specific system includes the sun and the eight planets that orbit around it.

Two planets A and B, where B has twice the mass of A, orbit the Sun in circular orbits. The radius of the circular orbit of planet B is two times the radius of the circular orbit of planet A. The formula for calculating the time period of a circular orbit is:

T = (2πr) / v

where, r = radius, v = velocity

For circular orbits, T ∝ (r³/²)

Therefore, T_B/T_A = (r_B³/²) / (r_A³/²)T_B/T_A = (2³/²) / 1³/2T_B/T_A = (square root 8)/1T_B/T_A = Squareroot 8.

Therefore, the ratio of the orbital period of planet B to that of planet A is T_B/T_A = Squareroot 8.

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A list of heat transfer examples are listed below. Which is NOT an example of convection?

A. Water boiling in a pot

B. Lava in a lava lamp moving

C. Hot pavement burning your feet

D. A hot air balloon rising


I’ll give Brainliest!

Answers

Answer:

C. Hot pavement burning your feet

Explanation:

Convection is a type of process where heat travels upwards and cold travels downwards.

An atom has 5 protons and a mass number of 11. What is the name of this
atom? *
Magnesium
Carbon
O
Sulfur
O
Boron

Answers

Answer: Boron

Explanation: took the test yesterday

The correct answer is boron

a powerful motorcycle can accelerate from rest to 25.8 m/s (58 mi/h) in only 1.90 s. (for each answer, enter a number.) (a) what is its average acceleration in m/s2? 13.5789473684 correct: your answer is correct. m/s2 (b) how far (in m) does it travel in that time? 49.02 incorrect: your answer is incorrect. m

Answers

If a powerful motorcycle can reach 13.57m/s² (58 mi/h) from rest in under 1.90 seconds, its average acceleration is 4.20 m/s2, and it will travel 24.51 m.

What does the acceleration mean?

The rate at which velocity varies is termed acceleration. Acceleration usually signifies a shift in speed, but not usually. An item that follows a circular course while maintaining a constant speed is still moving forward as the direction of its motion is fluctuating.

given,

initial speed,u = 0 m/s

final speed,v = 25.8 m/s

time, t= 1.90 s

a) acceleration,

a =  v-u/t

a = 25.8-0/1.90

a = 13.57 m/s²

(b) distance to travel in that time

using equation of motion

v² = u² + 2 as

  25.8² = 0² + 2 x 13.57 x s

      13.57 s = 332.7

         s = 24.51 m

the motorcycle will travel 24.51 m

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why watchman does no work but gets tired ?​

Answers

Answer: the body is trained to wake up when the sun rises and get the energy from the sun and sleep and it is night on when the sun is not there. So when a watchman works at night there is no sun first of all to give him any kind of energy and secondly the body clock resists him waking up thus making him tired.

Explanation:

1) Find addition of the given vectors:
V1 = 2 m/s 30° N of E
V2 = 3 m/s 40° N of W

Answers

Unit vectors along N, S, E, W are i , -i , j, -j .

To find unit vector along :

V1 = 2 m/s 30° N of E

V2 = 3 m/s 40° N of W

a )

\(v_1=2(cos\ 30^oi+ sin\ 30^oj)\\\\v_1=2(\dfrac{\sqrt{3}}{2}i+\dfrac{1}{2}j)\\\\v_1=\sqrt{3}i+j\)

b )

\(v_2=3(cos\ 40^oi+ sin\ 40^oj)\\\\v_2=3(0.77i+0.64j)\\\\v_2=2.31i+1.92j\)

Hence, this is the required solution.

can an object emit different portions of the electromagnetic spectrum at the same time?

Answers

Answer:

i don't really know but i think yes sorry if it is wrong

A toaster oven draws 300.0 watts of power. If it is plugged into an outlet with a voltage of 115 volts, what current is in the toaster's circuit?
OA 3.45 10% amps
ОВ.
415 amps
Ос.
285 amps
OD
2.61 amps

Answers

Answer:

I = 2.61 A

Explanation:

It is given that,

Power of a toaster is 300 watts

It is plugged into an outlet with a voltage of 115 volts

We need to find the current in the toaster's circuit.

The electrical power is given by the formula as follows :

P = V I

I is electric current

\(I=\dfrac{P}{V}\\\\I=\dfrac{300}{115}\\\\I=2.61\ A\)

So, 2.61 A of current is in the toaster's circuit.

Answer: D.

2.61 amps

Explanation: edmentum

A toaster oven draws 300.0 watts of power. If it is plugged into an outlet with a voltage of 115 volts,

A beam of light has a wavelength of 420 nm. What is the frequency of that light?

Group of answer choices

1.40 E −6 hz

7.14 E 14 hz

1.26 E 11 hz

7.14 E 3 hz

Answers

The frequency of the beam of light with a wavelength of 420 nm is 7.14×10¹⁴Hertz (2nd option)

How do I determine the frequency of the beam of light?

Frequency of light wave is related to wavelength and speed of the light according to the following formula:

Velocity (v) = wavelength (λ) × frequency (f)

From the question given above, the following data were obtained:

Wavelength (λ) = 420 nm = 420 × 1×10⁻⁹ = 420×10⁻⁹ metersSpeed of ligt wave (v) = 3×10⁸ m/sFrequency of light (f) =?

The frequency can be obtained a as follow:

Velocity (v) = wavelength (λ) × frequency (f)

3×10⁸ = 420×10⁻⁹ × frequency of light wave

Divide both sides by 420×10⁻⁹

Frequency of light wave = 3×10⁸ / 420×10⁻⁹

Frequency of light wave = 7.14×10¹⁴Hertz

Thus, from the calculation, it is evident that the frequency is 7.14×10¹⁴Hertz (2nd option)

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Question 4
Which of the followmg questions explains the type of wave which can travel at the speed of light?
What is an electromagnetic wave?
What is a mechanical wave
What is a longitudinal wave?
What is a transverse wave

Answers

Answer:

What is an electromagnetic wave

Explanation:

Electromagnetic radiation is also more commonly known as light, light travels in waves- and light travels at the same speed as electromagnetic waves. :)

What is the properties of P- waves

Answers

Answer:

P waves, or Primary waves, are the first waves to arrive at a seismograph. P waves are the fastest seismic waves and can move through solid and liquids

Explanation:

the interstellar medium is approximately 99 percent gas and 1 percent dust. yet it is the dust, not the gas, that in some kinds of light blocks our view of the galactic center. which of these statements, relating to this effect, is not true?

Answers

The interstellar medium (ISM) is the material between stars in a galaxy, composed of approximately 99 percent gas and 1 percent dust. However, it is the dust that can block our view of the galactic center in certain kinds of light. Regarding the effect of dust blocking our view of the galactic center, statement C is not true.

This is because dust grains are better at absorbing and scattering light than gas molecules. Dust can absorb and reflect light differently depending on its composition and the wavelength of the light. For example, shorter wavelengths are more easily scattered by dust, making it appear more visible in blue light. Additionally, dust can absorb certain wavelengths, such as infrared light, which can make it difficult to observe certain objects behind the dust.Therefore, statement C is not entirely accurate as dust can absorb and reflect light in different ways depending on various factors. It is important to study the properties of the ISM and understand how different components can impact our observations of the galaxy.

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complete question:

the interstellar medium is approximately 99 percent gas and 1 percent dust. yet it is the dust, not the gas, that in some kinds of light blocks our view of the galactic center. which of these statements, relating to this effect, is not true?

A) Dust reflects light and gas absorbs it.

B) Dust absorbs light and gas reflects it.

C) Dust absorbs and reflects light in the same way.

D) Dust blocks the view of the galactic center more than the gas does.

Lisa has a mass of 52 kilograms. How much does Lisa weigh in Newtons? How much does she weigh in pounds? (Use g = 9.8 m/s)

Answers

Answer: 510 in Newton’s and 115 lbs

Explanation:

Considering the definition of weigh, Lisa weighs 0.5096 N or 0.1146 pounds.

Mass is the amount of matter that a body contains, while weight is the action exerted by the force of gravity on the body. That is, weight is a measure of how much force gravity exerts on the mass of an object.

The mass of an object will always be the same, no matter where it is located. Instead, the weight of the object will vary according to the force of gravity acting on it.

Weight can be calculated as the product of mass and acceleration due to gravity:

W=m×g

In this case, you  know:

m= 52 g= 0.052 kg (being 1000 g=1 kg)g=9.8 m/s²

Replacing in the definition of weigh:

W=0.052 kg×9.8 m/s²

Solving:

W= 0.5096 N

1 newton equals 0.2248 pound. Then W=0.5096 N= 0.1146 Pounds

Finally, Lisa weighs 0.5096 N or 0.1146 pounds.

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The average velocity and time of motion for an objects are recorded as
Vavg = +2.0 m/s. Ai= 3.0 s
What is the displacement of the object?
O 0.67 m
O 6m
o 3m
O 1.5 m

Answers

This is the answer hope you get it :)
The average velocity and time of motion for an objects are recorded asVavg = +2.0 m/s. Ai= 3.0 sWhat
1.5m it is the displacement

If the coefficient of static friction at all contacting surfaces is determine the inclination at which the identical blocks

Answers

The tangent of the angle at which the items slide equals the coefficient of static friction. The measurement of k can be done in a similar way. To accomplish it, push the upper object while angling it upward. The tangent of that angle equals k when the upper object slides along at a constant speed.

Why is the coefficient of static friction determined using an incline?

By calculating the angle at which the force of gravity overcomes the static friction, you can utilize an item that is inclined to calculate the static coefficient of friction.

How can you tell which way static friction is prevailing?

Static friction pushes in the direction you're trying to travel when you walk (see Figure 2 below). In the absence of friction, the foot would slip backwards as it presses on the ground (like walking on ice).

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What role is played by physics in communication

Answers

Explanation:

physics allow us to understand the electromagnetic radiation we used to transmit data with fibre optics and satellites and to build computers that interpret those signals and transmit data on the internet

a belt is placed around a pulley 41 cm in diameter and rotating at 242 rpm, what is the linear speed in m/s of the belt

Answers

Given

d: diameter

d = 41 cm

We need radius information so we will calculate it:

r: radius

r = d/2

r = 41/2

r = 20.5 cm

Rotating speed

w = 242 rpm

Procedure

At a distance r from the center of the rotation, a point on the object has a linear speed equal to the angular speed multiplied by the distance r. The units of linear speed are meters per second, m/s.

\(v=\omega r\)

But before using the formula we need to have all the units in the same system. So we need to go from rpm to rad/s and from cm to m

\(\begin{gathered} 242\cdot\frac{\text{rev}}{\min}\cdot\frac{2\text{ pi rad }}{1\text{ rev}}\cdot\frac{1\text{ min}}{60\text{ s}} \\ 25.34\text{ rad/s} \\ \\ 20.5\text{ cm}\cdot\frac{1m}{100\operatorname{cm}} \\ 0.205\text{ m} \end{gathered}\)

Now we can calculate the linear velocity of the belt.

\(\begin{gathered} v=\omega r \\ v=25.34\text{ rad/s}\cdot0.205\text{ m} \\ v=5.1947\text{ m/s} \end{gathered}\)

Answer

The linear velocity of the belt would be 5.2 m/s.

if the forces are moving in the same direction, ____ the forces. Please help i’m actually so confused!

if the forces are moving in the same direction, ____ the forces. Please help im actually so confused!

Answers

Answer:

Explanation:

the directions may change

Or they will repel and become opposite sides

While spinning down from 500.0 rpm to rest, a solid uniform flywheel does 6.2 kJ of work. If the radius of the disk is 1.2 m, what is its mass

Answers

While spinning down from 500.0 rpm to rest, a solid uniform flywheel does 6.2 kJ of work. If the radius of the disk is 1.2 m, its mass is 3.14 kg.

Given,

radius of the disk (r) = 1.2 m

Total work done in spinning down to rest (W) = 6.2 kJ =6200 J

Initial angular speed (ω) = 500 rmp = \(500*\frac{2\pi}{60} rad/s\) = 52.36 rad/s

Let the mass of the disk = m

∴ Initial linear velocity (v) = ωr = 52.36×1.2 =62.83 m/s

As the disk comes to rest in end, hence final linear velocity = 0

∴ Change in kinetic energy = Total work done

⇒\(\frac{1}{2}mv^{2} - 0= W\)

⇒\(m=\frac{2W}{v^{2}}\)

⇒\(m=\frac{2*6200}{(62.83)^{2}} =3.14 kg\)

Therefore the mass of the disk is 3.14 kg.

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The planet Saturn has mass of 5.67 x 10 26kg and radius of 6.3 x 10 7m. How much will the gravitational force be on a 60 kg man there?

Answers

Answer:

Explanation:

The gravitational force between two objects can be calculated using the formula:

F = G * (m1 * m2) / r^2

Where F is the gravitational force, G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2), m1 is the mass of one object (60 kg), m2 is the mass of the other object (5.67 x 10^26 kg), and r is the distance between the two objects (the radius of Saturn, 6.3 x 10^7 m).

F = 6.67 x 10^-11 * (60 * 5.67 x 10^26) / (6.3 x 10^7)^2

F = 6.67 x 10^-11 * 3.402 x 10^33 / 3.969 x 10^14

F = 2.30 x 10^19 N

So the gravitational force on a 60 kg man on Saturn would be approximately 2.30 x 10^19 N.

a ship leaves a harbor and sails at 27.5∘ to the south of due east. after traveling 365 km, how far east is the ship from the harbor?

Answers

The ship is located 200.51 km east from the harbor.

The given angle of travel of the ship is 27.5° to the south of due east. To solve this question, we can use trigonometry, and more specifically, we can use the sin function because we know the opposite and hypotenuse side of the angle of travel of the ship. To get started, we need to break down the angle of travel as well as the displacement of the ship along the eastern axis. We know that the ship sailed at 27.5° to the south of due east and traveled a distance of 365 km. From this information, we can find the opposite and hypotenuse side of the triangle formed by the ship's angle of travel and displacement eastward. Let x be the displacement of the ship along the eastern axis.

Then, east displacement of ship = x

We know that the angle of travel of the ship = 27.5° south of due east. This implies that angle of travel of the ship from the eastern axis is 90° - 27.5° = 62.5°.

We know that opposite side of the ship's angle of travel is the southward displacement of the ship = 365 km.

This implies that the hypotenuse of the ship's angle of travel is given as: hypotenuse = 365 / sin(62.5°) = 398.89 km

Therefore, the displacement of the ship along the eastern axis = east displacement of the ship = hypotenuse × cos(62.5°)

Substituting hypotenuse = 398.89 km and angle of travel of ship from eastern axis = 62.5°, we get:

east displacement of ship = 398.89 × cos(62.5°) = 200.51 km

Therefore, the ship is located 200.51 km east from the harbor.

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For a relative frequency distribution, relative frequency is computed is computed as ____________.

Answers

Answer:

For a relative frequency distribution, relative frequency is computed as the class frequency divided by the number of observations.

Suppose a pv farm requires 2,000 panels to generate power at 40% efficiency. If a new panel were invented that was 50% efficient, how many panels would be required?.

Answers

The number of panels required when the efficiency of the machine changes to 50% is 1,600 panels.

What is the efficiency of a machine?

The efficiency of a machine or any device is the measure of the ratio of the output energy or output work of the machine or device to the input work or energy of the device.

The efficiency of the PV farm describes how well it converts solar energy from the sun into useful energy.

The smaller the number of panels required by the PV farm, the more efficient the PV farm is and vice versa.

The number of panels required when the efficiency of the machine changes is calculated as follows;

40% ------> 2,000 panels

50% --------> ?

= (40 x 2000) / 50

= 1,600 panels

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When is the average rate of a reaction equal to its instantaneous rate at a given second?

Answers

The average rate of a reaction is equal to its instantaneous rate at a given second when the reaction is happening at a constant rate. This occurs when the concentration of reactants is constant, and there is no change in the reaction mechanism or conditions.

The average rate of a reaction is calculated by dividing the change in the concentration of the reactants by the time taken for that change to occur. On the other hand, the instantaneous rate of a reaction is the rate at which the reaction is occurring at a particular point in time.

When the reaction is happening at a constant rate, the average rate and the instantaneous rate are the same at any given second. This means that the rate of the reaction does not change over time, and the concentration of the reactants is constant. However, in most cases, the reaction rate changes over time, and the instantaneous rate at any given second is not equal to the average rate.

In conclusion, the average rate of a reaction is equal to its instantaneous rate at a given second when the reaction is happening at a constant rate.

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Elements are arranged in the periodic table based on various patterns. For example, the element magnesium (mg).

Answers

Elements are arranged in the periodic table based on various patterns. For example,  the element magnesium (Mg) A. has a higher atomic mass than the element sodium (Na). Option C is correct.

Describe the periodic table.

The known elements are arranged in the periodic table in increasing atomic number order and repeating chemical properties.

They are arranged in a tabular fashion, with each row denoting a certain era and each column denoting a particular group.

The elements are arranged in ascending atomic number sequence from top to bottom and left to right.

Elements belonging to the same group will have similar chemical properties because they will have the same valence electron configuration.

The periodic table's arrangement of elements follows a number of different patterns. For instance, sodium (Na) and magnesium (Mg) both have higher atomic masses (Na).

As a result, choice C is accurate.

Your question is incomplete but most probably your full question was Elements are arranged in the periodic table based on various patterns. For example, the element magnesium (Mg) has

a. a higher atomic mass than the element calcium (Ca).

b. has a lower atomic mass than the element beryllium (Be).

c. has a higher atomic mass than the element sodium (Na).

d. all of these

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Ten examples of artificial luminous objects​

Answers

paper, pencil, wood, human beings, moon.

Luminous objects are those objects which emit their own light.

Luminous objects can be natural as well as manmade.

One of the examples of natural luminous objects are- torch bulb, stars, sun, lighted candle.

Artificial luminous objects are those which cannot emit their own light.

Some of the examples of the artificial luminous objects are- paper, pencil, wood, human beings, moon.

Write the chemical formula for the following diagrams.

Write the chemical formula for the following diagrams.

Answers

Answer:

hydrogen chloride...........

Which statement best describes the two reactions?

A Upper C l subscript 2 plus upper H subscript 2 right arrow 2 upper H upper C l.
B Superscript 2 subscript 1 upper H plus superscript 3 subscript 1 upper H right superscript 4 subscript 2 upper H e plus superscript 1 subscript 0 n.

Reaction A involves a greater change, and reaction B involves a change in element identity.

Reaction B involves a greater change and a change in element identity.

Reaction A involves a greater change and a change in element identity.

Reaction B involves a greater change, and reaction A involves a change in element identity.

Answers

Answer:

b

Explanation:

i guessed annd got it right

Answer:

Reaction B involves a greater change and a change in element identity.

Explanation:

If the current through an inductor were doubled, the energy stored in the inductor would be.

Answers

Answer:

The energy stored in an inductor is given as:

EL=1/2 LI ²

So, when the current is doubled, the energy stored in the inductor will become 4 times.

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