A cylinder 15.0 cm in diameter rotates at 1000 rpm. (a) what is its angular velocity in rad/s? (b) what is the tangential velocity of a point on the rim of the cylinder?

Answers

Answer 1

Answer:

(a) Approximately [tex]105\; {\rm rad \cdot s^{-1}}[/tex].

(b) Approximately [tex]15.7\; {\rm m \cdot s^{-1}}[/tex], assuming that this cylinder is rotating along the axis that goes through the center.

Explanation:

The unit [tex]{\rm rpm}[/tex] stands for "revolutions per minute", where each revolution is [tex]2\, \pi[/tex] radians.

With an angular velocity of [tex]1000\; {\rm rpm}[/tex], this cylinder would turn [tex]1000\times 2\, \pi = 2000\, \pi[/tex] radians every minute ([tex]60\; {\rm s}[/tex]). Thus, the angular velocity of this cylinder would be:

[tex]\begin{aligned} \omega &= \frac{2000\, \pi\; {\rm rad}}{60\; {\rm s}} \\ &\approx 104.720\; {\rm rad \cdot s^{-1}}\end{aligned}[/tex].

A point at the rim of this cylinder would be at a distance of [tex]r = 15.0\; {\rm cm} = 0.150\; {\rm m}[/tex] from the axis of revolution of this cylinder. If the angular velocity of this cylinder is [tex]\omega[/tex], the tangential velocity of this point would be:

[tex]\begin{aligned} v&= \omega\, r \\ &= \frac{2000\, \pi}{60\; {\rm s}} \times 0.150\; {\rm m} \\ &\approx 15.7 \; {\rm m\cdot s^{-1}}\end{aligned}[/tex].


Related Questions

What is the ratio v1/v2 of the speed of the comet at position 1 to the speed at position 2

Answers

The ratio v1/v2 of the speed of the comet at position 1 to the speed at position 2 will be the ratio of the angular velocity.

What are comets ?

Comets are frozen leftovers from the formation of the solar system composed of dust, rock, and ices.

It should be noted that the tangential speed can alternatively be represented as;

[tex]\rm v_t= r\frac{d\theta}{dt}[/tex]

where,

θ  is the comet's position angle with respect to some given direction.

The amount dθ/dt is known as angular speed

The ratio v1/v2 of the speed of the comet at position 1 to the speed at position 2 IS;

[tex]\rm \frac{v_1}{v_2} = \frac{\frac{d \theta_1}{dt_1} }{\frac{d \theta_2}{dt_2} } \\\\\ \frac{v_1}{v_2} =\frac{\omega_1}{\omega_2}[/tex]

Hence,the ratio v1/v2 of the speed of the comet at position 1 to the speed at position 2 will be the ratio of the angular velocity.

To learn more about the comet, refer:

https://brainly.com/question/12443607

#SPJ4

True or false: Scientific models are always built to scale, and are fully functional representations of the product they are testing.

Answers

Answer:

False

Explanation:

Scientific models are not always built to scale and may not be fully accurate

5.
A device known as the nMRI, or nuclear magnetic resonance imager, often called an MRI for simplicity, is used for what purpose?
A to generate electricity
B to apply lasers to precision measurements of the nucleus
C to create an image of objects inside other objects
D to measure geologic pressures deep underground in volcanically active regions

Answers

Answer:

C. to apply lasers to precision measurements of the nucleus

Explanation:

Magnetic resonance imaging (MRI) is based on the principles of nuclear magnetic resonance (NMR), a spectroscopic technique used to obtain microscopic chemical and physical information about molecules.

Large rock rest on ground weight of rock is 8000n write down the size of contact force from the ground

Answers

The size of contact force from the ground is determined as 8000 N.

Size of contact force

According to Newton's third law of motion, action and reaction are equal and opposite.

The size of contact force from the ground is equal to the weight of the rock and it is calculated as follows;

Fd = Fn

Fd = 8000 N

Thus, the size of contact force from the ground is determined as 8000 N.

Learn more about contact force here: https://brainly.com/question/18451249

#SPJ1

Gravitation always does negative work. question 48 options: true false

Answers

The statement indicating that 'Gravitation always does negative work' is FALSE.

What is Gravitation?

Gravitation is a fundamental physical force that makes objects attract each other in the Universe.

This force (Gravitation) is required to maintain both constant positions and movement of objects.

In conclusion, the statement indicating that 'Gravitation always does negative work' is FALSE.

Learn more about Gravitation here:

https://brainly.com/question/557206

#SPJ1

Answer:false

Explanation:

A spinning satellite begins to fold two solar panels inward as shown. How does satellite's angular velocity change as the panels fold in completely?

A. It remains constant.
B. It increases.
C. It drops to zero.
D. It decreases.

Answers

B. It increases. but I’m not fully sure

Why is it making me do this

Answers

Answer:

I don't know.

Explanation:

I have no idea what you are referring to.

A 2.0-ohm resistor and a 4.0-ohm resistor are connected in series with a 12-volt battery. If the current through the 2.0-ohm resistor is 2.0 amperes, the current through the 4.0-ohm resistor is

Answers

Answer:

  2.0 A

Explanation:

Current through series-connected components is the same.

__

If the components are connected in series, and the current through one of them is 2.0A, then the current through the other is also 2.0A.

The current through the 4.0 Ω resistor is 2.0 A.

Which of the following desribes a displacement vs. time graph that looks like
this?
Time
A. constant non-zero acceleration
B. increasing velocity
C. constant velocity
D. decreasing acceleration

Answers

It would a constant non-zero acceleration because acceleration (the second derivative of position) is what determines concavity, and if it is positive, the graph of position/displacement will be concave UP. The acceleration is constant, so velocity is increasing at a constant rate. Therefore, position would be increasing at an exponential rate.

0.2 kg coffee cup is sitting on desk. acceleration due to gravity is 9.8m/s^2 what is the force downward exerted

Answers

[tex]~~~~~~~F = mg\\\\\implies F = 0.2 \times 9.8\\\\\implies F = 1.96~N\\\\\text{The downward force is 1.96 N.}[/tex]

Determine the safest option in the lab if you need your vision to be corrected. select one: wear safety goggles without any corrective lenses for the whole experiment wear safety goggles while working and switch to corrective glasses when you need to read something wear corrective glasses or lenses under your safety goggles for the whole experiment, but always check with your ta or instructor for your school's policy wear your corrective glasses or lenses as normal for the whole experiment

Answers

The safest option in the lab if one need your vision to be corrected is  wear corrective glasses or lenses under your safety goggles for the whole experiment, but always check with your ta or instructor for your school's policy.

What are safety goggles?

When someone is performing any project in the chemistry lab, he needs to be extra care taken by himself and and the most importantly from the school. The safety goggles are used to protect the eyes from any spiling off the chemical.

One should wear corrective glasses under the safety goggles during the whole experiment.

Thus, wear corrective glasses under the safety goggles during the whole experiment.

Learn more about safety goggles

https://brainly.com/question/17225935

#SPJ1

Your'e at your new high school.....You go into the bathroom and there's students smoking in there. I mean like a real smoke fest. Some of them you know, most you don't as your'e the new freshman. Suddenly, the school security barges in to take everyone who's in the bathroom to the principal's office. You on the other hand was just trying to use the bathroom and never got to lol! You and everyone in the bathroom end up in the office about to get in big trouble. What do you do?

Answers

Answer:

Just get searched then go back to class

Explanation: similar situation

Which of these is true about analog signals?

1. They can capture the entire sound wave when a song is recorded on a vinyl record, resulting in a Fuller and more accurate representation of the original song.
2. A vinyl record (analog) can hold more information than a CD (digital)
3. The sound quality does not degrade when copying a vinyl record (analog) like it does for CD (digital)

PLEASE HELP LOL, I NEED TO SUBMIT THIS BEFOFE MY SCHOOL YEAR ENDS -_-

Answers

The statement true about the analog signal is they can capture the entire sound wave when a song is recorded on a vinyl record, resulting in a Fuller and more accurate representation of the original song.

What are analog signals?

The analog signals are discrete in nature.

Sound can be recorded, stored and played by the use of either digital or analog techniques.

Vinyl records produces a continuous sound wave vs CDs. So, analog is more accurate,

Thus, correct option is 1.

Learn more about analog signals.

https://brainly.com/question/14825566

#SPJ1

These waves are needed for green plants to grow.
-microwaves
-X-rays
-infrared
-ultraviolet
-radio
-visible
-gamma rays

Answers

Answer:

visible waves are needed for green plants to grow.

Explanation:

During photosynthesis, chlorophyll absorbs energy from blue- and red-light waves, and reflects green-light waves, making the plant appear green.

A forces of 5 N accelerates an object. The object’s mass is 50 g. What is the acceleration of the object? (Formula: F=ma)

Answers

Answer:

100 m / s^

F =ma from this divided F and ma by m to get acceleration

a = F / m

a = ?

F = 5 N

m = 50 g = 0. 0 5 kg ; if 1 kg = 1000g how much kg of 50 g by criss cross method we get 0.05 kg

so; 5N / 0. 05 kg = 5kg m / s^ / 0.05 kg

kg cancel by kg

the result is 100 m/ s^

What is the relative size and composition of the universe, a galaxy, and a solar system?

Answers

The solar system is smaller than a galaxy. Galaxies are composed of solar systems. The solar system is composed of planets revolving around a star (such as our sun). To put into perspective, there are about hundreds of billions of stars in our galaxy (the milky way). On the other hand, billions of galaxies make up the universe.

The speed of light is constant which is 299 792 458 m / s. The time is taken for light to reach an object can be used to measure the distance between objects in space. This is done by multiplying the time by the speed of light.

Distance in space is so vast and therefore impractical to use the basic SI units of meters and kilometers we use here on earth. Therefore the use of astronomical units and light years is used. Light years is the distance that light can cover in a year in the vacuum of space, while astronomical units is the distance between solar systems.

what is the triboelectric effect?

Answers

Answer:

The triboelectric effect is an electrical phenomenon where certain materials become electrically charged after coming into contact with another, different, material. The polarity and strength of the charges produced differ according to material and surface smoothness.

Explanation:

The triboelectric effect causes an electrostatic charge to build up on the fur due to the cat's motions. The electric field of the charges results in a slight attraction of the light plastic pieces to the charged fur. The triboelectric effect is also the cause of static cling in clothes.

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

A 2000-kg ore car rolls 50 meters down a smooth 10o incline. There is a horizontal spring at the end of the incline designed to stop the car in case of break failure. What is the spring constant of the spring if it would compress by 1 m to stop the ore car?

Answers

The spring constant of the spring if it would compress by 1 m to stop the ore car is 340,350.4 N/m.

Potential energy of the car

The potential energy of the car is calculated as follows;

P.E = mgh

where;

h is the vertical height of the incline

sin (10) = h/L

h = L x sin(10)

P.E = mgLsin(10)

P.E = 2000 x 9.8 x 50 x sin(10)

P.E = 170,175.21

Conservation of energy

The potential energy of the car at the top of the incline will be converted  to the elastic potential energy spring at the bottom of the incline.

P.E = U = ¹/₂kx²

k = (2U)/x²

k = (2 x 170,175.2)/(1)²

k = 340,350.4 N/m

Learn more about spring constant here: https://brainly.com/question/1968517

#SPJ4

What can be described as a technology that uses high-frequency sound waves to create images?

Answers

Answer:

Ultrasound imaging (sonography) uses high-frequency sound waves to view inside the body.

Explanation:

what is matter made of​

Answers

Answer:

Atoms

Explanation:

Answer:

All matter is made up of atoms. Atoms come together to form molecules, which are the building blocks for all types of matter.

Explanation:

Which resistors in the circuit must have the same amount of charge passing through each second?

Answers

Answer:

Resistors C' and D'

Explanation:

A bowling ball with a mass of 8 kg is moving at a speed of 5 m/s. What is its
kinetic energy?
OA. 200 J
OB. 100 J
OC. 40 J
OD. 20 J

Answers

The kinetic energy of a bowling ball moving at speed is 100 J. The correct option is B.

What is kinetic energy?

The kinetic energy of an object is associated with its motion. It can be related to the mass and velocity as

K.E = 1/2 mv²

Given is the Mass of a bowling ball, m =8 kg and Velocity of a baseball, v = 5 m/s

substitute the values, we have

K.E = 1/2 x 8 x (5)²

K.E = 100 J

Hence, the kinetic energy of the bowling ball is 100 J.

Learn more about kinetic energy.

https://brainly.com/question/12669551

#SPJ1

Which type of error is a false positive

Answers

Answer: Type I Error

L 6.3.2 Test (CST): Applications of Waves Question 5 of 10 Which event provides evidence that matter can reflect waves? O A. An audience member covers her ears during a loud concert. B. A laser beam bounces off a series of mirrors. C. A performer makes shadow puppets on a wall. D. The light from a fireworks show is seen miles away. ​

Answers

An audience member covers her ears during a loud concert shows evidence that matter can reflect waves.

Which event provides evidence that matter can reflect waves?

An audience member covers her ears during a loud concert is an event that provides evidence that matter can reflect waves because a sound is heard again and again due to the reflection of waves. This repetition of sound is due to the property of reflection of sound waves.

So we can conclude that an audience member covers her ears during a loud concert shows evidence that matter can reflect waves.

Learn more about wave here: https://brainly.com/question/15663649

#SPJ1

Answer:

A laser beam bounces off a series of mirrors

Explanation:

The diagram shows a system in which a collision occurs between two toy cars.
What is the decrease in kinetic energy during the collision?
(A) -63 J
(B) -1.4 J
(C) -1.1 J
(D) -0.17 J

Answers

the answer is (D), -0.17J

The decrease in kinetic energy during collision is 0.171 joule. Hence, option (D) is correct.

What is kinetic energy?

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.

The body holds onto the kinetic energy it acquired during its acceleration until its speed changes. The body exerts the same amount of effort when slowing down from its current pace to a condition of rest.

Hence, the decrease in kinetic energy during collision =

Total initial kinetic energy - total final kinetic energy

= {1/2 × 1.15 ×(1.05)² + 1/2 ×2.25 × 0² - (1/2 × 1.15 × 0.13² + 1/2 ×1.25 × 0.85²)} Joule

= { 0.633 + 0 - 0.010 - 0.452} joule

= 0.171 joule.

Hence, The decrease in kinetic energy during collision is 0.171 joule.

Learn more about kinetic energy here:

https://brainly.com/question/17858145

#SPJ2

Two bulbs connected in
parallel shine more brightly than when they
are connected to the same voltage source in
series. explain why this doesn't violate the law
of conservation of energy.

Answers

Explanation:

Explain why this doesn't violate the law of conservation of energy.

The bulbs shine less brightly in a parallel because the charges

are flowing to more than one place, distributing the charge

evenly between the two bulbs. Less charge is going to each bulb

since it is going two places, so they will appear less bright

A series circuit consists of a switch, a 6-v battery, a lightbulb, and some copper wire. Whenever the circuit is turned on, each of these elements has the same

Answers

Whenever the circuit is turned on, each of these elements has the same current through it. The correct option is A.


What is current?

The current is stream of charges flowing through circuit from the positive terminal to the negative terminal of the voltage source.

A series circuit consists of a switch, a 6-v battery, a lightbulb, and some copper wire. The circuit has the current I flowing in it.  Light bulb will act as resistor. When the circuit is on, current will flow through the entire circuit and its elements starting from the positive terminal of battery to the negative terminal of battery.

Thus, whenever the circuit is turned on, each of these elements has the same current through it. The correct option is A.

Learn more about current.

https://brainly.com/question/27206933

#SPJ4

what do you mean by potential energy of an object is 60J​

Answers

Answer:

60Joules

Explanation:

Potential energy is the amount of 'work done' on an object, by changing it's position.

The formula is gravitational Potential energy= mass (kg) × gravity (Newtons) × height (m)

Does the amount of fuel depend on how fast water heats?

Answers

Answer:

yes

Explanation:

because when the water is heating up you use more fuel than you do when it is cold

Was this a chemical reaction? Did new products form? Make the choice that answers those questions:

Answers

The procedure is not found here but a chemical reaction is characterized to be a process where substances are converted into products.

What is a chemical reaction?

A chemical reaction is a process where one or more reactants are converted into chemical products.

In a chemical reaction, enzymes are molecules that speed up the process by lowering its activation energy.

In conclusion, the procedure is not found here but a chemical reaction is characterized to be a process where substances are converted into products.

Learn more about chemical reactions here:

https://brainly.com/question/26018275

#SPJ1

Other Questions
Find the value of (1/2)^3 A. 1/6 B. 3/6 C. 1/8 D. 1/2 a2345678Which is the graph of f(x) = -(x+3)(x + 1)?10 How did China adjust to modern economic issues after the dath of Mao Zedong? 3. In "The School Days of an Indian Girl," Zitkala-a repeatedly refers to the missionaries she encountersas "palefaces." What is the effect of using this language on the tone of the essay? Be sure to use detailsfrom the essay to support your point. (15 points) parallelogram ABCD has vertices A(0,0)B(3,6)C(11,2) find the possible coordinates of D PSYCHOLOGY QUESTION!!!!!Hannah believes that the law is the law no matter what, no excuses. Shewould be in Kohlberg'sstage.O A. conventionalB. postconventionalC. concrete conventionalO D. preconventional. MATH!!! find the volume of the pyramid D^2=290^2+2030^2How Do i simplify this Which function is represented by the graph? the problem cause by home affairs workers Expand the brackets. 4(t 5) I need help asap please Calculate 9 10-5 divided by 3 10-9. (Box after the "10" in answer is for the exponent.). 10 . In a boys hostel, 1206 eggs were bought for breakfast for the students. How many moles of eggs does this represent? Correct these sentences: jamal has done gone to visit his uncle in jacksonville illinois write the function for the graph. a. f(x) = 4 (12)x b. f(x) = 3 (4)x c. f(x) = 4 (3)x d. f(x) = 3 (12)x One theme from "The Yellow Wallpaper" is that women played a lesser role inmarriage during the 19th century. Which line from the story best supports thistheme?A. And I know John would think it absurd. But I MUST say what I feeland think in some way it is such a relief!-B. We shall sleep downstairs to-night, and take the boat home tomorrow. I quite enjoy the room, now it is bare again.C. I'm feeling ever so much better! I don't sleep much at night, for it isinteresting to watch developments...D. He said I was his darling and his comfort and all he had, and that Imust take care of myself for his sake, and keep well. Which idea is most closely associated with self-determination during the civilrights era?OA. The creation of African American political partiesOB. The mixing of black and white students in schoolOC. A focus on nonwhite culture and historyOD. The loss of a sense of black pride how should you determine whether nutrition information is accurate by reading a widea.by reading a wide variety of fad diet booksb.by conducting and analyzing scientific experimentsc.by conducting a diet survey of people from different culturesd.by reading articles written by a variety of internet commentatorsSUMIT m18What transformations were applied to ABCD to obtain A'B'C'D?42A. Rotate 90 degrees counterclockwise about the origin, thentranslate 2 units up.B. Rotate 180 degrees counterclockwise about the origin, thentranslate 2 units down.O C. Rotate 180 degrees counterclockwise about the origin, thentranslate 2 units up.D. Rotate 90 degrees counterclockwise about the origin, thentranslate 2 units down. PREVIOUS4