A truck with 0.420 m radius tires travels at 32 m/s. What is the angular velocity of the rotating tires in radians per second? What is the angular velocity of the rotating tires in rev/min?

Answers

Answer 1
76 rad/sec 730 rev/min First, calculate the circumference of the tires which is 2*pi*r 2*pi*r = 2 * 3.14159 * 0.420 m = 2.6389 m Now divide the velocity by the circumference 32 m/s / 2.6389 m = 12.1261 rev/s Since there are 2*pi radians for the circumference, multiply by 2*pi to get the number of radians per second. 12.1261 rev/s * 2 pi rad/rev = 76.19 radians/sec Since you only have 2 significant figures, round to 76 rad/sec Now to get rev/min, take the earlier computed value of 12.1261 rev/s and multiply by 60 12.1261 rev/sec * 60 sec/min = 727.5661 rev/min Once again, round to 2 significant figures, so 730 rev/min
Answer 2

Answer : [tex]\omega=76.19\ radians/second[/tex] and  [tex]\omega=727.55\ rev/min[/tex]

Explanation :

It is given that,

The radius of the truck, r = 0.420 m

Velocity of the truck, v = 32 m/s

We have to find the angular velocity of the rotating tires.

The relation between the angular velocity and the linear velocity is :

[tex]v=r\omega[/tex]

[tex]\omega[/tex] is the angular velocity

[tex]\omega=\dfrac{v}{r}[/tex]

[tex]\omega=\dfrac{32\ m/s}{0.420\ m}[/tex]

[tex]\omega=76.19\ radians/second[/tex]

We know that, 1 revolution = 2π radian

So, [tex]\omega=727.55\ rev/min[/tex]

Hence, this is the required solution.


Related Questions

How can density be used to help identify a substance?

Answers

Each element has its own specific density. Density is a physical characteristic, it could be used to identify unknown substance because of its uniqueness. No two elements have identical densities, and densities of the same substance may it be of different volume has closely identifiable densities.

Final answer:

Density is a physical characteristic of matter that can be used to identify substances. By comparing the density of an unknown substance to known density values, you can make reasonable guesses about its identity. Additional information may be needed to identify substances in objects composed of more than one material.

Explanation:

Density is a physical characteristic of matter that can be used to identify substances. Each substance has a characteristic density that can be used as a hint in identifying it. For example, gold has a density that is about 2.5 times the density of iron, which is about 2.5 times the density of aluminum. By comparing the density of an unknown substance to known density values, you can make reasonable guesses about the identity of the substance.

In some cases, additional information may be needed to identify the substances in an object composed of more than one material. For example, if a mixture has different materials with similar densities, it may be necessary to perform additional tests, such as chemical reactions or spectroscopy, to determine the exact composition of the mixture.

Devise a memory device that could help you remember the 4 problem- solving steps. Describe the memory device

Answers

Internal brain storage device that you can acsess with a remote control so you won't have to try remembering things.
Final answer:

The acronym 'IDEA' can serve as a mnemonic device for the four problem-solving steps: Identify, Develop, Execute, Assess. This tool aids memory by encoding larger bits of information into easily remembered forms.

Explanation:

A useful memory device to remember the four problem-solving steps could be the acronym 'IDEA': Identify the problem, Develop a plan, Execute the plan, and Assess the results. This mnemonic device places the problem-solving steps into a memorable word that can easily be retained in long-term memory. Mnemonic devices like this are powerful tools, aiding in the encoding of larger bits of information such as steps or stages. This enables easier recall of the steps when problem-solving tasks are performed.

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Why is theory of evolution a theory

Answers

It is a theory because there are many many other ways to describe how to the world was made (Such as, God made it. Which I believe.) and they cannot prove that only one is correct, and the others are wrong. It is a theory and will be until they can completely confirm it. 
Final answer:

The theory of evolution is a well-supported and foundational scientific explanation for the diversity of life, subject to rigorous testing and not just an unsupported guess. The scientific usage of the term 'theory' differs greatly from the common everyday usage, lending significant credibility to evolutionary theory.

Explanation:

The theory of evolution is a foundational scientific explanation that describes the mechanisms by which species change over time. In science, the term theory refers to a body of thoroughly tested and verified explanations, not just a simple guess as often misconstrued in everyday language. Evolutionary theory is as factual and substantiated as other scientific theories like the atomic theory of matter or the germ theory of disease. As with all scientific theories, it is subject to continued testing and revision, but this is a rigorous process that only strengthens the body of evidence supporting the theory. Therefore, the assertion that evolution is just a 'theory' in the sense of being an unsupported guess is a significant misinterpretation of the scientific meaning of a theory.

The theory of evolution has undergone extensive scrutiny and has been supported by a multitude of observations and experimental evidence, which makes it a reliable account of the natural world and not merely a 'just a theory.' The misconception that evolution is widely debated or controversial among scientists is incorrect, as the majority of the scientific community accepts evolution as the unifying theory of biology. Evolution provides the explanatory framework within which biologists approach all questions about the living world, and its understanding continues to evolve and refine as new evidence emerges.

Measurement of angle EGB

Answers

The answer is:  x = 25 .
_______________________________________

4x = 2x + 50 ; 

Subtract "2x" from each side of the equation;

4x - 2x = 2x + 50 - 2x ; to get:

2x = 50 ; 

Divide EACH SIDE of the equation by "2" ; to isolate "x" on one side of the equation; and to solve for "x" ;

2x / 2 = 50 / 2 ; 

x = 25 .
__________________________________ 

Which of the following is a characteristic of science?'

Answers

The answer is:

Science is a process of gaining new knowledge.

Answer:

It uses data and observations to make conclusions.

Explanation:

As a wave travels through a medium, it displaces particles in a direction parallel to the motion of the wave. We can conclude this is a

Answers

we can conclude that it is a longitudinal wave because the wave is traveling through a medium displacing particles

Answer:longitudinal wave

Explanation:. A longitudinal wave is a wave in which particles of the medium move in a direction parallel to the direction that the wave moves.

Explain how the energy of a marble is transformed as it rolls down a ramp. Give evidence that energy of the marble remains the same at all points on the ramp.

Answers

Answer:

All the energy remains same actually.

Explanation: First, when it is dropped, it collects speed and kinetic energy, and also creates few amounts of sound and little thermal energy. For, example, you dropped the marble, and it rolled and bounced off towards the ramp. Take, it had 100 joules ( joule is the unit of energy, founded by scientist James Prescott Joule ). As it dropped, it created sound energy ( the clink sound ) and assume it had taken 50 joules. The rest are transformed to thermal and kinetic energy, assuming both energies took 25 joules. As it rolls down, it gains speed, gradually, and soon, it comes to halt in the ground by friction. Friction gives enough evidence as well as use of joules by sound, thermal and kinetic energies.

The elements helium, neon, and xenon are all part of the same _____ on the periodic table.

A. Diagonal

B. Period

C. Row

D. Group

Answers

the answer is D.group

hope this helps

D. Group

Explanation:

Helium, Neon and Xenon are all located under the same column in the periodic table. Elements within the same column in the periodic table are said to be in the same group, because they share similar chemical property: this is due to the fact that they have the same number of valence electrons (number of electrons in the outest shell).

Helium, neon and xenon are said to be part of the 'noble gas group'. The main property of these elements is that they do not react with other elements, because they have the outest energy shell completely filled with electrons, so they do not give/accept electrons to other atoms to form chemical bonds.

What important attitudes do successful scientists possess?

Answers

They would use the Scientific method

Curiousity. - A scientist shows interest and pays particular attentions to objects or events.

Honesty. - A scientist gives a truthful report of observations.

Open-Mindedness. - A scientist listens to and respects the ideas of others

What is one positive ecological impact of switching to biological farming?

Answers

Soil health connects to everything up the food chain, from plant and insect health, all the way up to animal and human health. Health, therefore, truly begins in the soils in which our food is grown.

what creates an electric force field that moves electrons through a circuit ?
a. energy source
b. load
c. metal wires
d. resistance

Answers

Answer:

a. energy source

Explanation:

In a circuit, there is cell or battery. This is the energy source. The battery creates an electric force field which causes electrons to move through the circuit. The current moves from positive terminal to negative terminal of the battery.

Resistance opposes the current in the circuit. load is same as resistance. Metal wires are used to connect different components of a circuit.

Answer:

A is the correct answer!!

Explanation:

Have a great day :^)

What profession is most likely to make use of amphoras and candelas

Answers

Biologists probably

Final answer:

The profession most likely to make use of amphoras and candelas is an archaeologist or historian.

Explanation:

The profession most likely to make use of amphoras and candelas is an archaeologist or historian.

Amphoras were large vessels used for shipping liquid goods in the Mediterranean world. They were essential for trade, transportation, and storage. Historians study past civilizations, including their economies and trade networks, and archaeologists excavate ancient sites, including tombs and graves, where they may find artifacts like amphoras.

Candelas, on the other hand, are units of luminous intensity used in lighting design and engineering. This profession may involve designing and using light fixtures, such as candelabras, which are candle holders that can provide both functional and aesthetic lighting.

Physics HELP!!!!! On the surface of the Moon an astronaut has a weight of Fg = 140 N. The radius of the Moon is Rm = 1.74 x 106 m, the gravitational constant is G = 6.67 x 10-11 N m2kg2 and the mass of the Moon is Mm = 7.35 x 1022 kg. Solve numerically for the mass of the astronaut ma in kg.

Answers

Answer:

Mass of the astronaut is 86.45 kg

Explanation:

It is given that,

Weight on the surface of astronaut, [tex]F_g=140\ N[/tex]

The radius of the moon is, [tex]R_m=1.74\times 10^6\ m[/tex]

The gravitational constant is,  [tex]G=6.67\times 10^{-11}\ Nm^2/kg^2[/tex]  

Mass of the moon,  [tex]m_1=7.35\times 10^{22}\ kg[/tex]

We need to find the mass of the astronaut. It can be calculated using the formula as :

[tex]F=G\dfrac{m_1m_2}{R^2}[/tex]

m₂ = mass of the astronaut

[tex]m_2=\dfrac{FR^2}{Gm_1}[/tex]

[tex]m_2=\dfrac{140\ N\times (1.74\times 10^6\ m)^2}{6.67\times 10^{-11}\ Nm^2/kg^2\times 7.35\times 10^{22}\ kg}[/tex]

m₂ = 86.45 kg

So, the mass of the astronaut is 86.45 kg. Hence, this is the required solution.

The astronaut's mass is determined to be approximately 86.42 kg.

Let's begin by using Newton's law of universal gravitation, which states that the force of gravity between two masses is given by:

F = G * (m1 * m2) / r²

Where:

F is the gravitational forceG is the gravitational constant, 6.67 x 10⁻¹¹ N·m²/kg²m1 and m2 are the masses of the objectsr is the distance between the centers of the two masses (radius of the Moon in this case)

Given data:

The astronaut's weight (Fg) on the Moon: 140 NThe radius of the Moon (Rm): 1.74 x 10⁶ mThe mass of the Moon (Mm): 7.35 x 10²² kg

Firstly, we calculate the acceleration due to gravity on the Moon (gm) using the formula:

gm = G * Mm / Rm²

Substituting the given values:

gm = (6.67 x 10⁻¹¹ N·m²/kg²) * (7.35 x 10²² kg) / (1.74 x 10⁶ m)²

gm ≈ 1.62 m/s²

Now, we know that weight (Fg) is given by Fg = ma * gm, where ma is the mass of the astronaut. Rearranging the equation to solve for ma:

ma = Fg / gm

Substituting known values:

ma = 140 N / 1.62 m/s²

ma ≈ 86.42 kg

Therefore, the mass of the astronaut on the Moon is approximately 86.42 kg.

Which two characteristics of data always occur together?

Answers

high precision and good validity  

PLEASE HELP!
There are 10 players playing tug of war that can exert 1000 N force. The first two largest players can both exert 400 N force and the last two smallest players can give the total of 30 N force. Find the total force of the other 6 players can exert.

Answers

so you would first multiply 400 by 2 which equals 800, then add 30 which is 830.
Then you would subtract 1000-830=170.
The total force of the 6 other players would be 170N.
Hoped this helped ☺️
Final answer:

The total force the other 6 players can exert in a tug-of-war game is calculated by subtracting the forces exerted by the largest and smallest players from the total force. The total force available from the other 6 players is 170 N.

Explanation:

To find the total force the other 6 players in a game of tug-of-war can exert, we need to know the total force of all 10 players and subtract the force exerted by the largest and smallest players. We're given that 10 players can exert a total force of 1000 N. The first two largest players exert a force of 400 N each, totaling 800 N for both. The last two smallest players exert a combined force of 30 N. To find the force exerted by the other 6 players, we subtract the sum of the forces exerted by the largest and smallest players from the total force.

Therefore, the calculation would be: 1000 N - (2 * 400 N + 30 N) = 1000 N - 830 N = 170 N.

To conclude, the other 6 players can exert a force of 170 N in total.

NEED HELP ASAP IF I FAIL THIS ONE I GET A F
If you want to cause an object to move, what should you do?
a Apply balanced forces.
b Apply neutral forces.
c Apply potential forces.
d Apply unbalanced forces.

Answers

D. Apply unbalanced forces
Aplly potential force C would be the right answe if not its wrong lol


The relationship between the mass m of a material, its volume V, and its density D is
A. V= mD
B. Vm=D
C. DV=m
D. D+V=m

Answers

the correct answer is c) DV = m 

The relationship between the mass m of a material, its volume V, and its density D is DV = m

What is volume ?

Volume is a three dimensional space occupy by the body of particular shape. Generally expressed in cubic meter.

So, let V be the volume of body in cubic centimeters and

the mass of body is m than Density D of diamond is calculated as :

                                     [tex]\begin{aligned}D&=\frac{m}{V}\\DV&=m \end{aligned}[/tex]

Therefore,The relationship between the mass m of a material, its volume V, and its density D is DV = m

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How many places are there for electrons in the second shell of an atom?

Answers

The second shell can hold up to eight electrons. 

Answer:

Eight electrons.

Explanation:

An atom is composed by shells, each shell can contain a limited number of electrons. The first one can contain two electrons. The second shell contains up to eight electrons. The third shell contains up to 18.

There's a formula to calculate the number of electrons:

[tex]2(n^{2} )[/tex]

Aluminum is used to make airplanes. Cast iron is used to make weight lifting equipment. Explain why the densities of these metals make them useful for these purposes?

Answers

aluminium is less dense which is lighter and the cast iron has more dense that's why it's heavier :)
Final answer:

Aluminum is light, tough, and corrosion-resistant, making it ideal for aircraft construction. In contrast, the high density and rigidity of cast iron make it suitable for the manufacture of weight-lifting equipment. The densities of these metals heavily influence their applications.

Explanation:

The densities of both aluminum and cast iron play crucial roles in their respective applications. Aluminum, used in airplane construction, is known for its lightness, toughness, and resistance to corrosion which reduces the overall weight of the aircraft while maintaining structural integrity, an important factor in aerospace design.

On the other hand, cast iron, used in the manufacture of weight lifting equipment, has a much higher density than aluminum. This makes it ideal for producing heavy, sturdy equipment that is resistant to deformation, even under significant stress. Cast iron's high rigidity allows it to handle the force exerted during weightlifting.

Overall, it's the properties derived from these metals' densities that make them suitable for their distinct applications - the lightness of aluminum for flight efficiency in aviation and the weights possible from high-density cast iron in fitness.

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summarize the steps you might use to carry out an investigation using scientific methods

Answers

1. Make an observation
2. Form a question
3. Form a hypothesis
4. Conduct an experiment
5. Analyze the data and draw your conclusion

The steps involved in the scientific method are;

Draw up a research questionConstruct a hypothesisTest the hypothesis through experimentsAnalyse experimental resultsDraw conclusions

Science is a study of the universe from an empirical point of view. This means that scientific investigations depend on experiments.

The first step in the scientific method of investigation is to draw up the research questions to be investigated. After this is done, a research hypothesis is constructed and subjected to experiments. The experiments may confirm or disprove the hypothesis. If the hypothesis is disproved, then it is revised in line with the results of experiments.

However, if the hypothesis is confirmed after analysis of experimental results, then relevant conclusions can be drawn.

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3. After studying about recycling, members of John’s biology class investigated the effects of various recycled products on plant growth. John’s lab group compared the effect of different aged grass compost on bean plants. Because decomposition is necessary for the release of nutrients, the group hypothesized that older grass compost would produce taller bean plants. Three flats of bean plants (25 per flat) were grown for 5 days. The plants were then fertilized as follows: flat A = 450. g of 3 month old compost; flat B = 450. g of 6 month old compost; flat C = 0 g of compost. The plants received the same amount of sunlight and water each day. At the end of 30 days, the group recorded the height of the plants in cm.

Hypothesis:
Independent Variable:
Dependent Variable:
Constant (at least one):
Control:
Number of groups:
Number of trials per group:

Answers

a hypothesis is when a scientific method gets the same results

Compression waves move through liquid faster than solids. True or false?

Answers

True because liquid can be tilted and swayed around and make a mess but solids are just.. there

Our understanding of the Atom has changed over time. which idea that was once accepted is now considered scientifically inaccurate

Answers

JJ. Thompson's Plum Pudding model of atomic structure.

Answer:

Explained

Explanation:

From Rutherford's alpha ray scattering experiment, we know that most of the spaces in an atom is empty. It is so because most of the alpha particles in that scattering experiment had gone Undeviated without any deflection from the positively charged nucleus.

Hence, atom can not be considered as a compact solid sphere, which was once considered by the J.J. Thomson.

True or False? Facts and Figures are examples of variables? If it's false explain how you can fix it.

Answers

false because only a variables can be factors

leptons are made of quarks and antiquarks true or false ?

Answers

true im just saing this for 20 characters

Suppose you that you are facing a straight current carring conductor and the current is flowing toward you. The line
of magnetic force at any point in the magnetic field will act in

Answers

To answer this question, we will use Ampere's right hand screw rule.
This rule explains the relation between the direction of the current and the magnetic field lines in the magnetic field.

Using your right hand, the thumb will always point at the direction of the flow of current. The rest of your fingers will show the direction of magnetic field.

Applying this rule on the given question, when the current is flowing towards you, the line of magnetic force at any point in the magnetic field will act in a counter-clockwise rotation.

Starting initially at rest at t=0, a subway car accelerates to 29 m/s over a period of 6 seconds, and then begins to brake. Forty-eight (total) seconds after starting, it is moving at 12 m/s . What is its average acceleration in this 48-s interval?

Answers

First, let's find the acceleration for the 6 s-interval. Since it started at rest, the initial velocity is 0. Then, the acceleration would be 

a = (29 - 0)/6 = 4.833 m/s²

For the rest of the interval, the time would be 48 s - 6 s = 42 s. The initial velocity at this point is 29 m/s and the final velocity is at 12 m/s. So the acceleration is

a = (12 - 29)/42 = -0.405 m/s²

Finally, the average acceleration is
Average acceleration = (4.833 + ⁻0.405)/2 = 2.214 m/s²

A airplane travels 3260 kilometers in 4 hours. What is the airplane average speed?

Answers

I'm pretty sure that it's 815.

A car is driven 80 km west and then 30 km south. What is the displacement of the car?

Answers

Final answer:

The displacement of the car is approximately 85.44 km, in a direction 20.56° south of west. This is calculated using the Pythagorean theorem and the arctan function to combine the westward and southward components of the car's journey.

Explanation:

To calculate the displacement of the car, we need to treat this problem as a vector addition question. The car's motion creates a right-angled triangle with a base of 80 km to the west and a height of 30 km to the south. To find the magnitude of the car's displacement, we use the Pythagorean theorem:

Displacement (magnitude) = √(base² + height²)
= √(80² + 30²)
= √(6400 + 900)
= √7300
= approx 85.44 km

To specify the direction of the displacement, we can calculate the angle θ using the arctan function, where θ is the angle the resultant displacement vector makes with the negative x-axis (since west is the negative x-direction). This is not directly asked for, but just to complete the vector characterization:

θ = arctan(height/base)
= arctan(30/80)
= arctan(0.375)
= approx 20.56° south of west.

Therefore, the car's displacement is approximately 85.44 km, 20.56° south of west.

Which of the following has mechanical energy? Car battery Compressed spring Glowing incandescent lightbulb Nucleus of uranium atom

Answers

the answer to this is the lightbulb

Answer:

the correct answer is the lightbulb

Explanation:

i took the assighnment and got it correct

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