A wheel rotates with a constant angular acceleration of 6.0 rad/s2. During a certain time interval its angular displacement is 8.0 rad. At the end of the interval its angular velocity is 14.0 rad/s. What is its angular velocity at the beginning of the interval

Answers

Answer 1

The angular velocity at the beginning of the interval of the wheel rotating  at a constant angular acceleration is determined as 10 rad/s.

Initial angular velocity of the wheel

The initial angular velocity of the wheel is determined by applying the kinematic equation as shown below;

ωf² = ωi² + 2αθ

where;

ωf is the final angular velocityωi is the initial angular velocityα is angular accelerationθ is angular displacement

Substitute the given parameters and solve for the initial angular velocity.

14² = ωi² + 2(6)(8)

196 = ωi² + 96

ωi² = 196 - 96

ωi² = 100

ωi = √100

ωi = 10 rad/s

Thus, the initial angular velocity of the wheel is 10 rad/s.

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Related Questions

A grasshopper jumps at a 63.0 angle with an initial velocity of 4.22 m/s. how far away does it land

Answers

The grasshopper is 1.47 m far away from the point where it jumps to the point where its lands.

To calculate the distance of the landing point of the grasshopper to the point where its jumps, we use the formula of range.

What is horizontal range?

Range can be defined as the horizontal distance between the point of projection to the point where the projectile hit the plain again.

R = u²sin2∅/g........... Equation 1

Where:

R = Distance between the point of jump and the point at which it landsu = initial velocity∅ = angleg = acceleration due to gravity

From the question,

Given:

u = 4.22 m/s∅ = 63°g = 9.8 m/s²

Substitute these values into equation 1

R = (4.22)²sin(2×63)/9.8R = 1.47 m

Hence, The grasshopper is 1.47 m far away from the point where it jumps to the point where its lands.

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A bar of soap when weighed in air has a weight of 5,2N . When completely immersed in water , however it has a weight of 3,7N . What is the volume of the bar of soap

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Answer:

A bar of soap when weighed in air has a weight of 5,2N . When completely immersed in water , however it has a weight of 3,7N . What is the volume of the bar of soap

Write any two differences between series combination and parallel combination of cells.

Answers

Answer:

Your answer is attached above

Hope it helps

TC

have a great time

why some aqutatic plants float an water give reason science subjects class 4​

Answers

This is because leaves have air in the spaces between cells, which helps them collect CO2 gas from their environment to use in photosynthesis.

the distibution on the condutor​

Answers

Answer:

The flow of electrons causes charge dispersion. Due to the ability of conductors to transmit electrons from one particle to another, a charged item will always spread its charge until the overall repulsive interactions between surplus electrons are minimized.

Sample Response: Yes, his graph is correct because it shows that as the average kinetic energy increases, so does the temperature. This is called a direct relationship. What did you include in your response? Check all that apply. As average kinetic energy increases, temperature also increases. The graph shows a direct relationship between average kinetic energy and temperature.

Answers

The graph will be correct, if it shows a direct relationship between average kinetic energy and temperature of the gas molecules.

What is average kinetic energy?

The average kinetic energy of a gas molecule is the energy possesed by the gas due to its relative motion.

Average kinetic energy of gas molecules has a direct relationship with temperature of the gas molecules. As the gas temperature increases, the kinetic energy of the gas increases and consequently, the speed of the gas increases as well.

Thus, the graph will be correct, if it shows a direct relationship between average kinetic energy and temperature of the gas molecules.

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Answer:

Select both

Explanation:

You included all needed information

On a dusty day clean polished shoes attrack alot of dust.Explain this?​

Answers

Answer:

Because when we polish the shoes, they gain charges or the shoes become charged, the small non-charged particles are attracted to them.

Momentum questions help

Answers

Answer:

a=25000 kg•m/s

b=1200 kg•m/s

c=what force?

Explanation:

for question a you multiply the mass which is 1000kg with velocity 25m/s.

for question b you multiply the force 60n with time 20s

You are an astronaut floating in DEEP space (very little gravity). If you come upon a small metal object,
what can you do to test if the object has MORE or LESS mass than you? What would happen? Explain

Answers

if the object has less mass it would be way lighter and it would probably explode

Find out the three methods of energy transfer (conduction, convection and radiation). think about
2 situations of daily life where you know or think you know that each one applies

Answers

Explanation:

conduction- putting a metal spoon in fire

convection- boiling water. In ventilation

Radiation- suns heat reaches us by radiation. heat from fire place reaches us by radiation.

ions, giving canoe 1 a speed of 0.58 m>s and canoe 2 a speed of 0.42 m>s. If the

Answers

Answer:

Draw a table showing the different forms of the first law for the four processes described.

To travel at a constant speed, a car engine provides 24 KW of useful power. The driving force on the car is 600 N. At what speed does it travel?

Answers

[tex]\text{Given that,}\\ \\\text{Power,} ~P=24~ KW = 24000~ W\\\\\text{Force,} ~F=600~N\\\\\text{We know that,}\\\\P=Fv\\\\\implies v = \dfrac{P}{F} = \dfrac{24000}{600}=40~ ms^{-1}\\\\\\\text{It travels at 40 m/s}[/tex]

A wire is attached to the ceiling so that the current flows south to north. A student is standing directly below the wire facing north. What is the direction of the B-field (caused by the current in the wire) at this observation point

Answers

Answer:

If one wraps the fingers around the wire and points the thumb in the direction of the "conventional" current the fingers will point towards the North pole - the direction of the B-field.

In this case the B-field is pointed "West".

An unbalanced force acting on an object will cause it to? A. Increase in mass. B. Decrease in mass. C. Accelerate. D. Remain at rest.

Answers

Answer:

I think the object would accelerate.

Explanation:

When the unbalanced force hits the object, it transfers some of its force to the object, making it accelerate

2. What value did you calculate for the index of refraction of the acrylic block in Part 2? How does your value compare to the accepted value of 1.50? Calculate the percentage error. Different materials have distinct indexes of refraction. Explain how you might identify a material based on experiments like this one. Mention at least one of the difficulties in identifying materials based on their indexes of refraction.

Answers

The percentage error in calculated value of the refractive index of acrylic block is calculated using the formula: (true value - calculated value/true value) × 100%.

What is refractive index of a refracting medium?

The refractive index of a medium is the ratio of the sine of the angle of incidence on the medium and the sine of the angle of refraction.

Refractive index = sin i/sin r

where;

i is the angle of incidencer is angle of refraction.

The refractive index of a medium increases with density of the medium.

To determine the percentage error in determining the refractive index of a medium, the following formula is used:

Percent error = error/true value × 100%

Therefore, the percentage error in calculated value of the refractive index of acrylic block is the ratio of the error and true value multiplied by 100%.

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Which of the following is NOT an example of force?
A. gravity
B. mass
C. a push
D. remain at rest

Answers

Answer:

D. remain at rest

Explanation:

D remain at rest because gravity is a force pulling you towards the earth mass is also a force push is also a type of force as you are applying it to an object so D is the answer

what is the constant snell’s law

Answers

Snell's law is defined as “The ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant, for the light of a given colour and for the given pair of media”.

Place the following in order, from closest to furthest away:
A) The scattered disc; B) The Kuiper Belt; C) The Oort cloud

Answers

The order from closest to furthest away include the following:

The  Kuiper BeltThe  scattered discThe Oort cloud.

What is Kuiper belt?

This is the region which ends around 50 AU from the Sun and has the presence of the scattered disc in its outer surface.

The  Oort cloud has a distance of between 2,000 and 10,000 thereby making it the farthest which is why the correct order is B, A and C.

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_______ is an SI unit for mass.
A. mass
B. kilogram
C. newton
D. acceleration of gravity
E. weight

Answers

Answer:

B. kilogram

I hope this helps you

:)

Answer:

B. kilogram

Explanation:

When stated in the unit J s, which is equal to kg m2 s1, the kilogram (kg) is defined by considering the fixed numerical value of the Planck constant h to be 6.62607015 1034 when expressed in the unit J s, which is equivalent to kg m2 s1. The United States Prototype Kilogram 20, a platinum-iridium cylinder held at NIST, is the country's principal mass standard. The kilogram was initially known as the Kilogram of the Archives, and it was defined as the mass of one cubic decimeter of water at its greatest density temperature. It was superseded by the International Prototype Kilogram following the International Metric Convention in 1875, which became the unit of mass without reference to the mass of a cubic decimeter of water or the Archives Kilogram. National Prototype Meters and Kilograms were allocated to each country that signed the International Metric Convention. Learn more about the kilogram's history and current definition. The kilogram (kg) is the only SI basic unit whose name and symbol incorporate a prefix for historical reasons. The SI prefix for 1000 or 103 is "kilo." Prefix names and symbols are attached to the unit name "gram," and prefix symbols are attached to the unit symbol "g," to create names and symbols for decimal multiples and submultiples of the unit of mass. Find out more about this historical oddity.

Units of Mass

10 milligrams (mg) = 1 centigrams (cg)

10 centigrams = 1 decigrams (dg) = 100 milligrams

10 decigrams = 1 gram (g)

10 decigrams = 1000 milligrams

10 grams = 1 dekagrams (dag)

10 dekagrams = 1 hectogram (hg)

10 dekagrams = 100 grams

10 hectograms = 1 kilogram (kg)

10 hectograms = 1000 grams

1000 kilograms = 1 megagram (Mg) or 1 metric ton (t)

A body's mass is a measurement of its inertial property, or the amount of stuff it contains. The force imposed on a body by gravity or the force required to maintain it is measured by its weight. On Earth, gravity accelerates a body downward at around 9.8 m/s2. In the context of weights and measurements, weight is frequently used as a synonym for mass. The verb "to weigh," for example, meaning "to ascertain the mass of" or "to have a mass of." Weight should be phased out in favor of mass, and the term mass should be used when mass is indicated. The kilogram is the SI unit of mass (kg). The weight of a body in a given reference frame is defined in science and technology as the force that causes the body to accelerate at the same rate as the local acceleration of free fall in that reference frame. As a result, the newton is the SI unit for the amount weight defined in this way (force) (N).

How does the gravitational force between two objects change if the distance between the objects doubles?
a)
The force decreases by a factor of 4.
b)
The force decreases by a factor of 2.
c)
The force increases by a factor of 4.
d)
The force increases by a factor of 2.

Answers

if the distance between the objects is doubled the force is reduced by a factor of 4

Whats is gravitational force?

Gravitational force is the force of attraction between objects in the universe.

f = G * m1 * m2 / r^2

f = gravitational force

G = gravitational constant

m1 = mass of object 1

m2 = mass of object 2

r = distance between the objects

From the formular, the gravitational force and the distance is an inverse relationship so increasing the distance by a factor results to reduction of the force by the square of the factor. hence doubling the distance which is distance mutiplied by 2 will lead to reduction of the force by 2^2 = 4

Therefore: The force decreases by a factor of 4.

hope it helps

the taipei 101 in taiwan is a 1667-foot tall, 101-story skyscraper. the skyscraper is the home of the world's fastest elevator. the elevators transport visitors from the ground floor to the observation deck on the 89th floor at speeds up to 16.8 m/s. determine the power delivered by the motor lift the 10 passengers at this speed. the combined mass of the passengers and cabin is 1250 kg

Answers

The power delivered by the motor lift in elevating the 10 passengers at the speed of 16.8 m/s is 205800 Watts

What is power?

Power is simply defined as the rate at which energy is consumed. It can be expressed mathematically as

Power (P) = Force (F) × velocity (v)

P = Fv

How to determine the force Mass (m) = 1250 KgAcceleration due to gravity (g) = 9.8 m/s²Force (F) =?

F = ma

F = 1250 × 9.8

F = 12250 N

How to determine the power Velocity (v) = 16.8 m/sForce (F) = 12250 NPower (P) =?

P = Fv

P = 12250 × 16.8

P = 205800 Watts

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Which term describes living things?

A) We shiver when we get cold.
B) Moss on the side of the tree is active even though it looks still.
C) Human kidneys produce urine.
D) A rabbit gets nutrients from a carrot.

Answers

Answer:                                                                                    

Explanation:

                                                                                                         

Need help with the following - question 2

Answers

Answer:

Find the change in momentum of the upper stage, that is:

∆p = m(vf - vi)

m being the mass of the upper stage

vf being the final velocity which was given

vi being the initial which was also given

find ∆p

then use ∆p in the same equation

∆p being the answer you got above

m being the mass of the lower stage (given)

vi being the initial velocity (given)

vf being the final velocity of the lower stage which you were asked to find

Explanation:

During a collision the change in momentum (∆p) for both objects is equal regardless of their speeds or masses before or after the equation

Suppose that a car speaker produces sound waves with a frequency of 4000 Hz. As the car speaker moves away from an observer, which of the
following occurs?

Answers

Frequency is reduced with the sound waves being less heard when the speaker moves away from an observer.

What is Frequency?

This is defined as the number of occurrences of a repeating event per unit of time.

As the speaker is moved away from the observer, the wavelength increases and the frequency decreases thereby resulting in less sound being heard.

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An athlete lifts a 330 N set of weights from ground level to a position over her head, a vertical distance of 2.05 m. Assume the weights are moved at constant speed. a) How much work does the athlete do? b) What is the mass of the weights?​

Answers

Force=330NDistance=2.05m

Work done:-

Force×Displacement330(2.05)676.5J

Now

Apply Newtons second law

F=ma

m is mass

a is acceleration due to gravity (10)

330=10mm=33kg

how many types air
I need a formula of calculating the s i unti of force​

Answers

The si unit of force is newton.

so, F is eqal to m*g

Answer:

F=ma

Explanation:

force is actually a derived quantity

newton is a unit derived from kg.m/s^2

This is from Newton's second law of motion

F=ma

Which material is a good heat conductor ?​

Answers

Answer:

wood lighters gasoline hope it helps

Explanation:

A ball is dropped off of a building and falls past a window that is 2.2m long. If it takes .28s for the ball to cross the window what is the distance from the top of the building to the top of the window?

Answers

Answer:

oh what do you believe this one

H H H O H O N C C N C C H O H H O H H C H H H ALANINE GLYCINE

What is the difference between these two amino acids?

Answers

i’m not 100 percent sure but I need points to ask questions good luck th

In absence of friction, to bring an object to rest
a. a force must act in the same direction of its direction of motion
b. a force may not be necessary
C. the object will come to rest by itself
d. a force must act in the opposite direction of its direction of motion

Answers

"An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force”

(This is not an awnser this is just some information hope it’s helpful)
D. without friction it won’t stop on its own. it needs a force acting in the opposite direction
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