An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.220 rev/s . The magnitude of the angular acceleration is 0.920 rev/s2 . Both the the angular velocity and angular acceleration are directed counterclockwise. The electric ceiling fan blades form a circle of diameter 0.800 m .
1) Compute the fan's angular velocity magnitude after time 0.208 s has passed.
2)Through how many revolutions has the blade turned in the time interval 0.208 s from Question 1?
3)What is the tangential speed vt of a point on the tip of the blade at time t = 0.208 s ?
4)Calculate the magnitude at of the tangential acceleration of a point on the tip of the blade at time t = 0.208 s .
5)Calculate the magnitude ar of the radial (or centripetal) acceleration of the point at the end of the fan blade.

Answers

Answer 1

Answer:

1) The fan's angular velocity after 0.208 seconds is approximately 2.585 rad/s

2) The number of revolutions the blade has travelled in 0.208 s is approximately 0.066 revolutions

3) The tangential speed of a point on the tip of the blade at time t = 0.208 s is approximately 1.034 m/s

4) The magnitude of the tangential acceleration of a point on the tip of the blade at time t = 0.208 seconds is approximately 2.312 m/s²

Explanation:

The given parameters are;

The initial velocity of the fan, n = 0.220 rev/s

The magnitude of the angular acceleration = 0.920 rev/s²

The direction of the angular acceleration and the angular velocity = Clockwise

The diameter of the circle formed by the electric ceiling fan blades, D = 0.800 m

1) The initial angular velocity of the fan, ω₀ = 2·π × n = 2·π × 0.220 rev/s = 1.38230076758 rad/s

The angular acceleration of the fan, α = 2·π×0.920 rad/s² = 5.78053048261 rad/s²

The fan's angular velocity, 'ω', after a time t = 0.208 seconds has passed is given as follows;

ω = ω₀ + α·t

From which we have;

ω = 1.38230076758 rad/s + 5.78053048261 rad/s × 0.208 s = 2.58465110796 rad/s

The fan's angular velocity after 0.208 seconds is ω ≈ 2.585 rad/s

2) The number of revolutions the blade has travelled in the given time interval is given from the angle turned, 'θ', in the given time as follows;

θ = ω₀·t + 1/2·α·t²

θ = 1.38230076758 × 0.208 + 1/2 × 5.78053048261 × 0.208² = 0.41256299505 radians

2·π radians = 1 revolution

∴ 0.41256299505 radians = 0.41256299505 radian× 1 revolution/(2·π radian) = 0.06566144 revolution

The number of revolutions the blade has travelled in 0.208 s ≈ 0.066 revolutions

3) The tangential speed of a point on the tip of the blade at time t = 0.208 s is given as follows;

The tangential speed, [tex]v_t[/tex] = ω × r = ω × D/2

At t = 0.208 s, ω = 2.58465110796 rad/s, therefore, we have;

[tex]v_t[/tex] = ω × D/2 = 2.58465110796 × 0.800/2 = 1.0338604413

The tangential speed, [tex]v_t[/tex] = 1.0338604413 m/s

The tangential speed ≈ 1.034 m/s

4)  The magnitude of the tangential acceleration of a point on the tip of the blade at time t = 0.208 seconds, 'a' is given as follows;

a = α × r = α × D/2

a = 5.78053048261 × 0.800/2 = 2.31221219304

The tangential acceleration, a ≈ 2.312 m/s²


Related Questions

Answer these questions correcty first who answers it all correct gets cash

Answers

there is no questions? lol

Answer:

I am extremely sorry, but I cannot answer your questions, because there aren't any.

Explanation:

I don't see any questions, or else my eyes are not working properly.

These types of electromagnetic waves are listed in order of decreasing
frequency: gamma rays, visible light, infrared, and radio. Which type has the
greatest energy?
A. Radio
B. Infrared
C. Visible light
D. Gamma rays

Answers

The answer you’re looking for is
D. Gamma rays
Enjoy the rest of your day/night :)

Time and velocity are both vectors T/F

Answers

Time and velocity are both vectors T/F

Would you do more work moving 100 boxes weighing 12N for 1m or moving a 1000N box, 30cm? Support your answer.

Answers

Answer:

The second box

Explanation:

Work done is the force applied to move a body through a particular distance.

Work done  = Force x distance

For the first box:

Weight  = 12N

Distance  = 1m

  Work done  = 12 x 1 = 12J

For the second box;

 Weight  = 1000N

 Distance  = 30cm  = 0.3m

 Work done  = 1000 x 0.3  = 300J

The second box has a higher work done.

true or false

one ton is equal to 10 quintal​

Answers

Answer:

True

Explanation:

1 ton = 10 quintals

A 7.2 kg bowling ball is accelerated with a force of 112,5 N.

What is the acceleration of the bowling ball?

Answers

Answer:

15.625 m/s

Explanation:

112.5/7.2 = 15.625 m/s

blank is a measure of the percentage of water vapor in the air in a particular area

a. temperature
b. dew
c.point
d. relative humidity

Answers

Answer:

Relative humidity is a measure of the percentage of water vapor in the air in a particular area

Answer: relative humidity

Explanation:

If Steve throws a football 40 m and it travels for 3 seconds, what was the balls velocity?​

Answers

Answer:

13.4 m/s^2

Explanation:

40 divided by 3 equals 13.3 repeating.

The greater a wave's amplitude, the___ energy the wave carries.

A: less
B: neither of these
C: more ​

Answers

Answer:

C) more

Explanation:

because the amplitude of a wave is the maximum displacement of a particle from its rest position, thus, the more energy there is, the higher the particle is displaced

hope this helps, if not, please report it so that someone else can try it

The greater a wave's amplitude, the more energy the wave carries. The correct option is C.

What is amplitude?

Due to the fact that the amplitude of a wave represents the maximum displacement of a particle from its rest position, the higher the displacement of the particle, the more energy there is.

The maximum displacement or distance made by a point on a vibrating body or wave relative to its equilibrium location is known as the amplitude in physics.

The wave's deviation from its mean position is referred to as amplitude. It measures the vertical separation of the peak (also known as the crest or trough) from the mean position. The distance between the center line (or the still position) and the top or bottom of a wave's crest or trough is known as the amplitude.

Therefore, the correct option is C: more.

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1. Al descomponerse su vehículo una persona tira de su auto con la ayuda de una cuerda con una fuerza de 3500 N que forma un ángulo de 45° con la horizontal. Calcula las componentes horizontal y vertical de dicha fuerza

Answers

Responder:

Fy = 2474,8737

Fx = 2474,8737

Explicación:

Dado que :

Dado:

Fuerza, F = 3500 N

Ángulo formado con la horizontal, θ, = 45 °

Los componentes de una fuerza se pueden descomponer en componentes verticales y horizontales.

El componente vertical Fy; y

El componente horizontal Fx

Fy = Fuerza * sinθ

Fy = 3500 * sin45 °

Fy = 2474,8737

El componente horizontal:

Fx = Fuerza * cosθ

Fy = 3500 * cos45 °

Fy = 2474,8737

A speed boat travels 200 miles at a speed of 20 miles/hr. How much time will it take to
travel the 200 miles?

Answers

Answer:it will take 10 hours

Explanation: The way we get this answer is if the boat travels 200 miles at 20 mph that means that every 20 miles the boat traveled an hour would pass. Using this we can see that 20 fits into 200, 10 times, meaning that the time it would take to travel would be 10 hours.

The time it will take to travel 200 miles is 10 seconds

The calculation can be done as follows

= 200/20

= 10 seconds

Hence the amount of time it will take the speed boat to travel 200 miles is 10 seconds

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drop a paper a piece of thermocol and a piece of plastic from a height of 10 to 15 feet not the time for each object to hit the ground why does paper take more time than thermocol and thermocol more than the plastic piece make the paper to fell down in such a way that it should hit the ground before all of them and how does it happen

Answers

Answer:

Explanation:

According to Newton's law of gravitation , all objects should take same time to fall from same height , but it does not happen when we see a paper , a thermocol and a plastic paper to fall .

It happens due to air resistance . In case of paper , this is most pronounced , so it falls slowest . In case of plastic paper , the resistance is least so it falls fastest .

If we squeeze the piece of paper to make a lump so that it does not remain flat , it will fall the fastest , because in this case the air resistance on it becomes the least .

A force of 25 newtons east and a force of 25
newtons west act concurrently on a 5.0-kilogram
cart. What is the acceleration of the cart?

A. 0 m/s2
B. 0.20 m/s2 east
C. 1.0 m/s2 west
D. 5.0 m/s2 east

Answers

Answer:

0

Explanation:

the forces gets cancelled off. hence when applying F=Ma, F=0 therefore a=o

The acceleration of the cart is 0m/s². Option A is correct.

According to Newton's second law of motion:

[tex]\sum F=ma[/tex]

m is the mass of the object

a is the acceleration

If a force of 25 newtons east and a force of 25  newtons, then the sum of force is expressed as:

[tex]\sum F = 25 - 25 =0N[/tex]

Get the acceleration

[tex]a=\frac{\sum F}{m} \\a=\frac{0}{5} \\a=0m/s^2[/tex]

Hence the acceleration of the cart is 0m/s²

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Please help me




An automobile is driving uphill. Which form of energy is not involved in this process?


electromagnetic

potential

kinetic

chemical

Answers

Question:

An automobile is driving uphill. Which form of energy is not involved in this process?

Choosing:

electromagnetic

potential

kinetic

chemical

Answer:

Electromagnetic

#READINGHELPSWITHLEARNING #CARRYONLEARNING #STUDYWELL

Answer:Electromagnetic said the person above me wait AYO HEAR ME OUT-

EARS: Two ears (E) is dominant to one ear (e). Both parents are heterozygous.

Answers

Answer:

what's the question

Explanation:

I don't understand the question

A force of 50 N begins to move a block of wood weighing 100 N on a
rough horizontal surface. Find the coefficient of static friction

Answers

Answer:

0.5

Explanation:

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

Force (F) = 50 N

Weight (W) = 100 N

Coefficient of static friction (μ) =.?

The coefficients of static friction (μ) is simply defined as the ratio of force (F) to the normal reaction (N). Mathematically, it can be expressed as:

μ = F / N

With the above formula, we can obtain the coefficient of static friction as follow:

Force (F) = 50 N

Weight (W) = 100 N

Coefficient of static friction (μ) =.?

μ = F / W

μ = 50 / 100

μ = 0.5

Thus, coefficient of static friction is 0.5

Sandra takes a class field trip to a geology museum. She sees an interesting sample of igneous rock. She wonders if the material in this rock sample could have come from a sedimentary rock formation at Earth’s surface millions of years ago. Is this possible? Can sedimentary rock change into igneous rock?

Answers

Answer:

Yes

Explanation:

It is possible for sedimentary rocks to be converted to igneous rocks. Under conditions of high temperature and pressure, sedimentary rocks can be broken down into igneous rock by melting this rock type.

When the rock is broken down, it forms melt which when cooled and solidifies will form igneous rocks.

Sedimentary rocks are formed from the breaking down of pre-existing rocks through the action of weathering, erosion and sediment transportation. Within a basin, the sediments are compacted and lithified.

When this is subjected to intense pressure and temperature, the rock hardens and might further break down to melt.

What might a scientist who studies thermodynamics experiment with in order to better understand cold

Answers

Answer:

A scientist who studies thermodynamics might experiment with the instant ice packs where you have to pop a bag on the inside to create a chemical reaction to make it cold.

A box is pulled along a floor by a force of 3.0 N. The friction acting on the box is 1.0 N, as shown. How much kinetic energy does the box gain in moving 2.0 m

Answers

Answer:

4 J

Explanation:

From the image attached, we can see 2 horizontal forces acting on the box albeit in opposite directions.

Now, the net force will be;

F_net = 3 - 1

F_net = 2 N

To move a distance of 2 metres, kinetic energy is;

K.E = Force × Distance = 2 × 2 = 4 J

1) A tourist accidentally drops a camera from a 50.0 m high bridge. What is the speed of the camera as it hits the water? *
2) Determine the total displacement of a car that is initially at 10 m/s but then accelerates at 2 m/s^2 for five seconds. *
3) A car travels down a long straight road at 20 km/h for 0.60 h. How far does the car travel during this interval? *
4) A skateboarder slides down a ramp starting from rest and moving to 10 m/s in 12 seconds. How far will the skater travel during this time interval?
5) A runner travels south along a straight path for 5.5 h with an average velocity of 1.75 km/h, then travels south for 7.5 h with an average velocity of 0.90 km/h. What is the hiker’s displacement for the total trip? *
6) A runner accelerates from rest for 3.2 seconds. If the runner travels 24.6m, what is the runner's acceleration? *
7) A car moving at 5 m/s accelerates at 0.2 m/s^2 for one minute. How fast is the car moving? *


Can someone please answer these questions for me :))

Answers

Question:

1) A tourist accidentally drops a camera from a 50.0 m high bridge. What is the speed of the camera as it hits the water? *

Answer:

28.0 m/s

In which of the following would you find the highest population density?
Question 1 options:
A. In a region with little to no rainfall
B. Along the Amazon River
C. In the peak of the Andes Mountain
D. In the Atacama Desert



get the right answer and i will give you points

Answers

I would think B, along the Amazon River. This is because of the warm climate ad lots of rainfall.

B along the Amazon river

Calculate the speed of a car that travels 250 miles in 4.0 hours. (remember your unit)

Answers

250/4= 62.5 mph

to find the mph of a car, you need to divide the number of miles traveled by the hours that it took to travel that many miles

A ramp is used to lift a box into a truck. The distance it is lifted is 1.5m. The box has a mass of 5kg. What amount of work must be completed in order to lift the box?

Answers

Answer:

The work completed is 73.5 Joule

Explanation:

Mechanical Work

Mechanical work is the amount of energy transferred by a force that moves an object by a certain distance. It's a scalar quantity, with SI units of joules.

Being  the force and  the displacement the work is calculated as:

W=F.s

The box of m=5 kg is lifted by a distance of s=1.5 m. The force applied to lift the box is equal to the weight of the box, assuming it's lifted at a constant speed, thus:

F = mg = 5 * 9,8 = 49 N

The work is:

W = 49 N * 1.5 m

W = 73.5 J

The work completed is 73.5 Joule

1. A car is slowing down at a constant rate from 40 m/s to come to a stop. The acceleration is - 5 m/s2. How
much time will pass before the car is at rest?

Answers

Answer:

           

Explanation:

The height has a
distance of 5
meters if it takes
2.5 seconds to
hit the ground
what is Gravity?

Answers

Answer:

2.6

Explanation:

7 times

A car accelerates from rest in a straight line. During the first 14s, the acceleration is uniform and the car reaches the speed of 25m/s. Calculate the acceleration of the car.

Answers

Answer:

25/14 ms-1

Explanation:

apply V=U+AT

ill mark as brainliest if given the option

Answers

Answer:

[tex]36 g/cm^{3}[/tex]

Explanation:

In order to find the density, the problem says we need to find the volume first.

Since we know that the sample of gold is a perfect cube, we know that the side lengths will all be the same. Since all the side lengths will be 3, we can take that value and cube it to find the volume.

[tex]3^{3} = 27[/tex]

Now that we know the volume is 27 cm³, we can solve find the density.

[tex]Density = \frac{Mass}{Volume}[/tex]

[tex]Density = \frac{972g}{27cm^{3} } = 36 g/cm^{3}[/tex]

Therefore, the density of the sample is 36 g/cm³.

How long does it take a earth to rotate on its axis?

Answers

Answer:

23 hours, 56 minutes about 24 hours

Explanation:

(Im sorry if this is wrong please correct me if so. Good Luck)

What does the number of valence electrons an atom has have to do with whether the atom
will gain electrons or lose electrons?

Answers

Answer:

A valence number of 1 means that an alement will generally react to lose one electron to obtain a full outer shell.

Group two elements are assigned a valence number of 2. A valence number 2 means that a group two elements will generally react to lose two electrons to obtain a full outer shell.

Explanation:

Hope it helps

What are atoms doing that cause fireworks to change colors

Answers

Answer:

Heating atoms causes electrons to move from their ground-energy level to a higher energy level. When the excited electrons move to a lower energy level, they emit light with a specific energy and characteristic color.

Explanation:

Look it up

A distinct chemical reaction leads to the varied colors we perceive. Below you may find a further explanation.

The colors of explosions generated through the usage of metal salts were indeed distinct from table salts as well as chemical 'salt' corresponds toward any metallic or non-metallic compound's atomic complex.Several of these chemicals generate strong burning colors, making them suitable for explosives materials.

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