If a ball is travelling in a circle of diameter 10m with velocity 20m/s, find the angular velocity of the ball.​

Answers

Answer 1

Answer:

4 rad/s

Explanation:

The angular velocity is velocity over time:

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

We know that the velocity is 20 m/s and the radius is half of diameter which is 10m/2 = 5 m. Hence, substitute in the formula:

[tex]\displaystyle{\omega = \dfrac{20 \: \text{m/s}}{5 \: \text{m}}}\\\\\displaystyle{\omega = 4 \: \text{rad/s}}[/tex]

Therefore, the angular velocity is 4 rad/s


Related Questions

draw diagram of how a reflecting telescope works. show how the angles of reflection would work with mirrors placed at 2 different angles

Answers

Lenses, which are pieces of curved, clear glass, were employed in early telescopes to focus light.

What is Telescope?

Curved mirrors are used by the majority of telescopes nowadays to collect light from the night sky. Light is focused by a telescope's mirror or lens' shape.

Astronomers use a telescope to observe distant things. Curved mirrors are used by the majority of telescopes, including all large telescopes, to collect and concentrate light from the night sky.

The original telescopes employed lenses, which are simply curved pieces of clear glass, to focus light. The "optics" of a telescope are the mirrors or lenses. Strong telescopes may view objects that are extremely faint and incredibly far away.

Therefore, Lenses, which are pieces of curved, clear glass, were employed in early telescopes to focus light.

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8. Jane rides a sled down a slope of angle θ at constant speed v. Determine the coefficient of kinetic friction between the sled and the slope. Neglect air resistance.
(A) μ=gsinθ (B) μ=mgcosθ (C) μ=tanθ (D) μ=gcosθ

Answers

Answer:ssssw

Explanation:

An 80-kg man balances the boy on a teeter-totter as shown. What is the approximate mass of the boy? What, approximately, is the magnitude of the downward force exerted on the fulcrum? Ignore the weight of the board.
I know the first answer is 20 kg and the second answer is 1000N. Have no idea how to get these answers though. Please help? Will rate!!

Answers

The boy weighs at about 80 kg. When, as illustrated, a N 784 guy balances the youngster on a teeter-totter.

What is ideal interpretation of mass?

A way to determine how much material, in mass, makes up a physical body.

In classical mechanics, an object's mass is essential to Newton's equations of motion because it affects the force required to accelerate it and, subsequently, how much inertia it has.

Language expert Peter Trudgill claims that the name "Tittermatorter" from the Norfolk language is its origin. Trudgill can trace all of his great-great-grandparents to a tiny region of eastern Norfolk.

As per the question:

Weight is come under gravity and become force

80g = mg

m = 80

Force = 80(9.8) = 784N

Thus, the answer is 784N.

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Six vectors (a through f ) have the magnitudes and directions indicated in the figure. (Figure 1)

1.Rank the vector combinations on the basis of their magnitude.

Rank from largest to smallest. To rank items as equivalent, overlap them.
a+c
f+c
d
a+b
a+e
a+d

2.Rank the vector combinations on the basis of their angle, measured counterclockwise from the positivexaxis. Vectors parallel to the positivexaxis have an angle of0^\circ. All angle measures fall between0^\circand360^\circ.
Rank from largest to smallest. To rank items as equivalent, overlap them.
a+d
f+c
a+b
a+e
a+c
d

Answers

1. The rank of  the vector combinations on the basis of their magnitude

a+b = a +d > a+c > f +c = d > a + e.

2. The  rank of  the vector combinations on the basis of their magnitude

a+d  = a +b > a+c > f +c =d > a+e.

What is vector quantity?

Any physical quantity having both magnitude and direction is called vector quantity.

According to figure:

a = 2 unit b = 2 unit c = 1 unit d = 2 unit e = 1 unit and f = √5 unit.

a + c = 2+1 unit = 3 unit  

a + b = 2√2 unit

a + e = 2 -1 = 1 unit

a +d = 2√2 unit

f+ c = 2 unit

a+d = 2√2 unit

f+c = 2 unit

a+b = 2√2 unit

a+e = 1 unit

a+c = 3 unit

Hence, rank of  the vector combinations on the basis of their magnitude

a+b = a +d > a+c > f +c = d > a + e.

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Your friend Christy has always been good at making schedules-she plans her days out to the minute and
loves helping others be more productive in this way too. Which career in astronomy might she be suited for?
Ground Control
CAPCOM
Flight Controller
Flight Director

Answers

She might be best suited for a profession as an astronomy flight controller. The target speed for every one of the 4 motors is determined by the flight controller using the information acquired by the sensors.

Why study astronomy?

The goal of astronomy is to explain whatever we see within the universe, including the planets and comets inside our own solar system, far-off galaxies, and echoes of something like the Big Bang.

Is math required for astronomy?

Math is constantly used by astronomers. When using a telescope to see celestial objects, one application of it is this. The camera that is mounted on the telescope essentially captures a series of numbers, which could represent the amount of light that various celestial objects emit.

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when a resistor is connected to a battery, current flows through the resistor. If the voltage of the battery is doubled, the current will be?

Answers

Resistors limits the current/amps but keep the voltage the same.

What happens if you connect the resistor to the battery?

You don't want to attach them together with a wire since there would be too much current loose through, such that the battery heats up till it blows or something.

Current is directly corresponding to voltage; a doubling of the voltage will double the current. But the current is also inversely comparable to the resistance; a doubling of the resistance will halve the current.

So we can conclude that Resistance residue is the same, but power becomes four times i.e. multiplication. If the current is I and the voltage is V,

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4. How many excess electrons does a balloon that was rubbed on a child's hair and
now has a charge of 4.0 x 107 Coulombs?

Answers

The number of excess electrons is 4.0 x 107 Coulombs divided by 1.60 x 10-19 Coulombs, which is 2.5 x 1026 electrons.

What is electrons?

Electrons are particles of matter that carry a negative electrical charge. Electrons are the smallest particles in the atom and are responsible for most of the atom's mass. Electrons orbit around the nucleus of the atom and are held together by the electromagnetic force. Electrons have a property called spin, which can have a value of either +1/2 or -1/2. Electrons are found in all elements and are important in chemical reactions as they are able to move around and form bonds with other atoms. Electrons are also important in electricity and magnetism.

The number of excess electrons on the balloon is equal to the charge of the balloon divided by the charge of an electron. Since the charge of an electron is 1.60 x 10-19 Coulombs, the number of excess electrons is 4.0 x 107 Coulombs divided by 1.60 x 10-19 Coulombs, which is 2.5 x 1026 electrons.

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A force of 7.36 N acts on a(n) 2.1 kg object for 24.7 s. What is the object’s change in momentum? What is its change in velocity? Answer in units of N · s

Answers

Based on the data given:

the change in momentum of the object is 181.8 N.sthe change in velocity, Δv = 86.6 m/s

What is the change in the momentum of a body?

The change in momentum of the object equals the impulse experienced by the object

Mathematically,

Impulse = change in momentum

Impulse = F • t

change in momentum = m • Δ v

F • t = m • Δ v

where

F is the force

t is the time the force acts

m is the mass of the object

Δv is the change in velocity

For the given values:

change in momentum of the object = 7.36 * 24.7

change in momentum = 181.8 N.s

Change in velocity, Δv = change in momentum / mass

Change in velocity, Δv =  181.8 / 2.1

Change in velocity, Δv = 86.6 m/s

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How do you add sound waves?

Answers

The addition of two sound waves produces a new wave of higher amplitude if their compressions and refractions line up. It is also known as constructive interference.

What is interference?

Interference can be described as a phenomenon in which two waves combine by adding at every single point in space and time, to form a resultant wave of greater or lower amplitude.

Constructive and destructive interference occurs in the interaction of waves that are correlated with each other because they come from the same source.

When two sound waves propagate in the same direction in phase with each other, their amplitude gets added, and the resultant wave is produced from constructive interference.

When two waves interfere with each other and have a displacement in the opposite direction.  When a crest of a wave meets the trough of another wave, the waves undergo destructive interference.

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Hi, can anyone help me with this question I have?


Assume a tornado is in the vicinity of your neighborhood. Which would
be the most useful information to determine your safety - speed or
velocity? Explain your answer.

Answers

Answer:

speed

Explanation:

you need to move fast so the tornado can't reach you

How does the horizontal velocity of a projectile affect the velocity at which it falls?
A. faster horizontal objects fall slower
B. slower horizontal objects fall slower
C. No horizontal motion means the object will not fall
D. Horizontal motion does not have an effect on how an object will fall

Answers

Horizontal motion does not have an effect on how an object will fall

As shown in the picture above, an ice skater is skating at a constant speed in a circle. Is she accelerating? Explain your answer and draw the direction of the velocity in point A, B, C, and D.

Answers

Yes, the skater is accelerating.

Acceleration is a change in speed OR direction OR both.  Since she's skating in a circle, her direction is constantly changing, so she is accelerating.

At A, her velocity points down.

At B, her velocity points right.

At C, her velocity points up.

At D, her velocity points left.

How much force is necessary to raise a 150n crate up a ramp to a 4m loading dock if 600 j or work are performed

Answers

Answer:

To solve this problem, you can use the formula for work, which is work = force x distance. In this case, the distance the crate is moved is the height of the loading dock, or 4 meters. The amount of work performed is given as 600 joules. So, you can set up the equation like this:

600 joules = force x 4 meters

To solve for the force, you can divide both sides of the equation by 4 meters:

600 joules / 4 meters = force x 4 meters / 4 meters

This simplifies to:

150 newtons = force

So, the force necessary to raise the 150-newton crate up the ramp to the 4-meter loading dock is 150 newtons.

What is meant by half life ?

Answers

Half-life is the amount of time it takes a substance to decay half of its original value.

a boy of 40kg and a girl of a mass an unknown mass plays on a seesaw of negligible weigh. If the boy sits 300cm from the pivot and the girl sits 400m from the pivot what is the mass of the girl in order for the seesaw to be in equilibrium

Answers

The mass of the girl is 30 kg  in order for the seesaw to be in equilibrium.

What is seesaw?

A particular kind of lever is a seesaw, which has a long beam coupled to a pivot known as the fulcrum.

As soon as you sit on one side of the beam and apply weight on one end, the beam falls to the ground. This is because the weight of your body is being pulled down by the force of gravity, along with the beam.

Let the  mass of the girl = m kg

In equilibrium;

40 kg × 300 cm = m × 400 cm

⇒ m = 30 kg.

Hence,  the mass of the girl is 30 kg.

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8. A 2kg object explodes and divides into three pieces, one piece has a mass of 800g and has a velocity of [30] m/s, a second piece has a mass of 500g and has a velocity of [520] m/s. What is the velocity of the third mass?​

Answers

Answer:

v3 = 0 gm/s / 700g

Explanation:

To solve this problem, you need to use the principle of conservation of momentum, which states that the total momentum of a system remains constant unless acted upon by an external force. In this case, the total momentum of the system (the 2kg object before it explodes) is equal to the sum of the momenta of the three pieces after the explosion.

You can calculate the momentum of each piece by multiplying its mass by its velocity:

P1 = 800g * 30 m/s = 24,000 gm/s

P2 = 500g * 520 m/s = 260,000 gm/s

The total momentum of the system is the sum of these two momenta:

Ptotal = P1 + P2 = 24,000 gm/s + 260,000 gm/s = 284,000 g*m/s

The third piece has a mass of 2kg - 800g - 500g = 700g. We can use the conservation of momentum equation to find its velocity:

Ptotal = (700g * v3) + (800g * 30 m/s) + (500g * 520 m/s)

v3 = (Ptotal - (800g * 30 m/s) - (500g * 520 m/s)) / 700g

v3 = (284,000 gm/s - (800g * 30 m/s) - (500g * 520 m/s)) / 700g

v3 = (284,000 gm/s - 24,000 gm/s - 260,000 gm/s) / 700g

v3 = (284,000 - 24,000 - 260,000) gm/s / 700g

v3 = 0 gm/s / 700g

The velocity of the third mass is 0 m/s.

Hope this helps.

1. Compare and contrast sensation and perception.
2. Describe an example of sensory adaptation that you have experienced.
3. Why would it be difficult to play a sport such as baseball or basketball without the ability
to perceive depth?
4. Do you think that subliminal messages should be banned from advertising? Why or why
not?
5. What is your opinion about extrasensory perception? Do you think it exists? Explain your
answer.

Answers

1. Sensation refers to the process of receiving and encoding sensory information from the environment, while perception refers to the process of organizing and interpreting sensory information. Sensation occurs at the level of sensory receptors, while perception occurs in the brain.

2.An example of sensory adaptation that I have experienced is becoming accustomed to the smell of a perfume or cologne. When I first smell the fragrance, it is strong and distinct. However, as my senses become adapted to the smell, it becomes less noticeable to me.

3.It would be difficult to play a sport such as baseball or basketball without the ability to perceive depth because these sports require accurate spatial awareness and the ability to judge distances and heights. Without this ability, it would be difficult to accurately throw or hit a ball or to properly judge the distance to the basket.

4.It is a matter of debate whether subliminal messages should be banned from advertising. Some people argue that subliminal messages can influence people's behavior in a manipulative way, and therefore should be banned. Others argue that there is little evidence to suggest that subliminal messages are effective in influencing behavior and that banning them would be an unnecessary restriction on freedom of speech.

5.Extrasensory perception, also known as ESP, refers to the supposed ability to acquire information about the environment using means other than the known senses. There is no scientific evidence to support the existence of ESP, and the concept is generally considered to be pseudoscientific. As an AI, I do not have personal beliefs or opinions, but I can tell you that the scientific consensus is that ESP does not exist.

Can you help me with this question

Answers

A bar magnet's magnetic field lines flow from its north pole toward its south pole, just like they do in all magnets. Field lines that begin close to a pole's edges stay nearby the bar magnet longer than those that begin closer to the pole's centre.

What produces a magnetic field in a bar magnet?

Because the molecules in magnets are arranged so that their electrons spin in the same direction, magnets are unique. This configuration and motion produces a magnetic force that emanates from a north- and south-seeking pole, respectively.

Where does a bar magnet's magnetic field are strongest?

At the poles, it is strongest.

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A 62.3 kg base runner begins his slide into second base while moving at a speed of 4.49 m/s. He slides so that his speed is zero just as he reaches the base. The acceleration of gravity is 9.8 m/s². What is the magnitude of the mechanical energy lost due to friction acting on the run- ner?​

Answers

Answer:

628 J

Explanation:

ME = PE + KE

PE = mgh = 0,  because h = 0

KEi (initial KE) = 1/2mv² = 1/2(62.3 kg)(4.49 m/s)² = 628 J

KEf (final KE) = 0, because v-final = 0

All the initial ME, which is all KE, converts to thermal E due to friction

Sarita Has power of 480 watt. Calculate the amount of mass lifted by her up to 10 Metres in 12 SECONDS?​

Answers

Answer:

58.7g  (answer might differ a little if the answer treats g as 10 instead of 9.81ms-2)

Explanation:

First, apply the formula Energy = Power x Time

Power -> 480W (given)

Time -> 12 seconds  (given)

Hence,

Energy = (480 x 12) J  (SI units of energy is in Joules, J)

            = 5760 J

Since Sarita lifts up the mass, the energy we have calculated above is gravitational potential energy.

That means 5760 J of gravitational potential energy.

Recall that another formula for gravitational potential energy (GPE) is

GPE = mgh (where h is the height lifted, mass is the mass and g is the gravitational constant of 9.81ms-2)

h = 10 metres (given)

Therefore,

5760 = m x 9.81 x 10  

98.1m = 5760

m = 58.71559g

Hence, mass lifted is 58.7g (in 3sf)

What conditions determine which process occurs in a cell?

Answers

The conditions that determine which process occurs in a cell are largely based on the environment and the needs of the cell.

What is cell?

A cell is the basic unit of life. It is the smallest unit of an organism that is capable of independent functioning. Cells are composed of a variety of molecules, including proteins, lipids, carbohydrates, and nucleic acids. Cells are able to carry out functions such as energy production, metabolism, growth and division, movement, and communication.

These conditions include the availability of nutrients, the presence or absence of specific signaling molecules, the amount of oxygen, and the temperature. In addition, the genetic makeup of the cell and its response to internal and external cues can also determine which processes occur.

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three way to calculate average are

Answers

mean, median, mode.

mean is most commonly used.
to get the mean value, you add up all the values and divide this total by the number of values.

example: what is the average of the values 8, 5, and 6

8+5+6 = 19

19/3 = 6.3

6.3 is your average

The Astronomical Unit (AU) as defined by astronomers is

Answers

Answer:

a unit of length effectively equal to the average, or mean, distance between Earth and the Sun

Explanation:

Can anyone help with this?

Answers

Answer:

Explanation:

Add a horizontal line.  An object that is not moving has no change in distance with respect to time.

While skiing in Jackson, Wyoming, your friend Ben (of mass 63.2 kg) started his de- scent down the bunny run, 11.5 m above the bottom of the run. If he started at rest and converted all of his gravitational potential energy into kinetic energy, what is Ben's kinetic energy at the bottom of the bunny run? Use g = 9.8 m/s² Answer in units of J.- answer :7100J part 2 of 2 What is his final velocity? Answer in units of m/s.​

Answers

Answer:

12.3 m/s

Explanation:

To calculate the final velocity of Ben, we can use the equation KE = 1/2mv^2, where KE is the kinetic energy and m is the mass of Ben. Inserting the given values, we get:

7100 = 1/2 (63.2 kg) v^2

Therefore, v^2 = 7100/31.6

v = √(7100/31.6)

v = 12.3 m/s

Please need help ASAP, ASAP

Answers

If force is doubled, acceleration will also be doubled.

Newton’s second law of motion, unlike the first law of motion, pertains to the behaviour of objects for which all existing forces are unbalanced. The second law of motion is more quantitative and is used extensively to calculate what happens in situations involving a force.It states that: Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.The acceleration of the body is directly proportional to the net force acting on the body and inversely proportional to the mass of the body. This means that as the force acting upon an object is increased, the acceleration of the object is increased.

In this given question, force is doubled. We know that force is directly proportional to acceleration. As we increase the force on an object the acceleration increases proportionally. Therefore, if you double the force you double the acceleration.

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A doctor who is monitoring the health of astronauts in space has just received a signal that indicates one of
the astronauts may be experiencing low blood sugar. The mission control personnel that would communicate
this to the astronaut on board the space craft is CAPCOM.
True
False

Answers

The statement that a doctor who is monitoring the health of astronauts in space has just received a signal that indicates one of the astronauts may be experiencing low blood sugar. The mission control personnel that would communicate this to the astronaut on board the space craft is CAPCOM is true. So the correct option is A.

What is CAPCOM?

When there is a mission in which astronauts do space exploration, there will be mission control on the ground made up of members who will take over from the astronauts on earth, this will be the CAPCOM. These people will transmit the decision-making of the mission director who will be from the ground and will also communicate the needs of the astronauts to the people who control the mission.

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A boat has a speed of 20m/s in still waters. what is the speed in a river flowing due east with a velocity of 5m/s if the boat is heading north. How far from a point directly north on the other side of the river will the boat arrive if the width of the river is 10m.​

Answers

The boat will arrive 2.5 meter in east far from a point directly north on the other side of the river.

What is velocity?

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction.

A boat has a speed of 20m/s in still waters.

The velocity of river is 5m/s in east.

The width of the river is = 10 meter.

Hence, time taken by the board to cross the river = 10/20 second

= 0.5 second.

In this time, the board will move in east direction   = 5×0.5 meter = 2.5 meter.

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describe wht happends to the motion of the moving object when there is no resultant force acting on it

Answers

Answer:

it keeps moving until a force disturbs it

Explanation:

Anna litic and Noah formula how place a 1.50 kg brick on a wooden board and incline the board at 34.4* above the horziontal. The coefficient of friction between the brick and the board is 0.350. determine the force of gravity, parallel component of gravity and the perpendicular component of gravity. Please also find net force and acceleration

Answers

The force due to gravity here is 14.7 N. The net force acting on the brick is 9.5 N and the acceleration of the brick is then 6.3 m/s².

What is frictional force?

Friction is a resistive force which opposes the motion of an object. The product of normal force by gravity and frictional coefficient gives the frictional force.

Given that, mass = 1.50 Kg

force by gravity = mg = 1.50 × 9.8 m/s² = 14.7 N

parallel component = 14.7 cos 34.4 = 12.12 N

perpendicular component  = 14.7  sin 34.4 = 8.30 N

The frictional force = mg × coefficient of friction

= 14.7 × 0.35 = 5.14 N

then net force = 14.7 - 5.14 = 9.5 N

Acceleration of the brick = net force/mass

a = 9.5 N/1.50 Kg = 6.30 m/s²

Hence, acceleration on the brick is 6.30 m/s².

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