A merry-go-round rotates from rest with an angular acceleration of 1.45 rad/s2. How long does it take to rotate through (a) the first 3.70 rev and (b) the next 3.70 rev?

Answers

Answer 1

Answer:

(a) t = 5.66 s

(b) t = 8 s

Explanation:

(a)

Here we will use 2nd equation of motion for angular motion:

θ = ωi t + (1/2)∝t²

where,

θ = Angular Displacement = (3.7 rev)(2π rad/1 rev) = 23.25 rad

ωi = initial angular speed = 0 rad/s

t = time = ?

∝ = angular acceleration = 1.45 rad/s²

Therefore,

23.25 rad = (0 rad/s)(t) + (1/2)(1.45 rad/s²)t²

t² = (23.25 rad)(2)/(1.45 rad/s²)

t = √(32.06 s²)

t = 5.66 s

(b)For next 3.7 rev

θ = ωi t + (1/2)∝t²

where,

θ = Angular Displacement = (3.7 rev + 3.7 rev)(2π rad/1 rev) = 46.5 rad

ωi = initial angular speed = 0 rad/s

t = time = ?

∝ = angular acceleration = 1.45 rad/s²

Therefore,

46.5 rad = (0 rad/s)(t) + (1/2)(1.45 rad/s²)t²

t² = (46.5 rad)(2)/(1.45 rad/s²)

t = √(64.13 s²)

t = 8 s

Answer 2

The time taken in each case is  2.55 s

Let us recall that the equations of circular motion are almost like those of linear motion;

α = ω2 - ω1/t

α = angular acceleration

ω2 = final angular velocity

ω1 = initial angular velocity

t = time taken

a)  1.45 rad/s2 =3.70 rev/s - 0 rev/s/t

t = 3.70 rev/s/1.45 rad/s2

t = 2.55 s

b) For, ) the next 3.70 rev:

1.45 rad/s2 =3.70 rev/s - 0 rev/s/t

t = 3.70 rev/s/1.45 rad/s2

t = 2.55 s

Learn more about angular velocity; https://brainly.com/question/1301963


Related Questions

what is da answer please i need help

Answers

Answer:

Air and water i think

Explanation:

Cause Air =25% and water=25% so that equals 50%

give a strong idea to protect , purify and the beautify of the Dal lake​

Answers

Answer:

Water in dal lake is test for any heavy metals and pollutant, sewage and drainage system are also monitored for the same.

Explanation:

Dal lake is located in Srinagar that is the state capital of Kashmir and is known for recreation and tourism purposes. The area covers about 18 km sq. and forms a part of natural wetlands. The lake is prone to pollution and has recently undergone restoration measures. To address the problems of eutrophication algae and large-scale microplankton have been removed from the water. The government of India has taken various measures to check the pollution by setting up a committee to monitor the proper use of allotted funds.


What is responsible for keeping an object at rest or maintaining an object's
constant velocity?

Answers

Answer:

Inertia

Explanation:

Inertia is a force which keeps stationary objects at rest and moving objects in motion at constant velocity.

How does simple machines make work easier?

Answers

They make it so you would exert less force and make things easier to move

The simple machines can help make work easier by working quicker than the people and making other peoples jobs easier.

Explanation:

I hope this helped.

The Sputnik 1 satellite orbited Earth
(mass = 5.98 x 1024 kg) in a circle of
radius 6.96 x 106 m. What was its
period of orbit in seconds?
[?] s

Answers

Answer:

5778.1931

Explanation:

Given that:

Mass (M) = 5.98 x 10^24 kg

Radius (r) = 6.96 x 10^6 m

Gravitational constant (G) = 6.67 * 10^-11

Using the relation:

T² / R³ = 4π² / GM

Where T = period of orbit

T = 2π√(R³ /GM)

T = 2π√((6.96 x 10^6)³) /(6.67 * 10^-11) * (5.98 x 10^24)

T = 2π√((3.37153 * 10^20) / (39.866 * 10^13))

T = 2π √845715.64

T = 2π * 919.62799

T = 5778.1931

When a red giant star begins to burn helium, it

Answers

the outer shell of the star are blown off with big clouds of gas and dust which is know as a nebula

The diagrams below show forces acting on a toy car as it moves to the right which diagram shows the toy car that will most likely accelerate to the right based on these conditions?

Answers

Answer:

Option 1.

Explanation:

To know which option is correct, let us calculate the net force in each case to know which will move to the right direction.

Option 1:

Force to the right (Fᵣ) = 8 N

Force to the left (Fₗ) = 6 N

Net force (Fₙ) =?

Fₙ = Fᵣ – Fₗ

Fₙ = 8 – 6

Fₙ = 2 N to the right

Option 2:

Force to the right (Fᵣ) = 8 N

Force to the left (Fₗ) = 10 N

Net force (Fₙ) =?

Fₙ = Fₗ – Fᵣ

Fₙ = 10 – 8

Fₙ = 2 N to the left

Option 3:

Force to the right (Fᵣ) = 10 N

Force to the left (Fₗ) = 10 N

Net force (Fₙ) =?

Fₙ = Fᵣ – Fₗ

Fₙ = 10 – 10

Fₙ = 0 (no movement)

Option 4:

Force to the right (Fᵣ) = 10 N

Force to the left (Fₗ) = 13 N

Net force (Fₙ) =?

Fₙ = Fₗ – Fᵣ

Fₙ = 13 – 10

Fₙ = 3 N to the left

From the illustrations made above, only option 1 has a net force toward the right direction. Therefore, only option 1 will have an acceleration towards the right direction.

Answer:

Option 1

Explanation:

Write 3 paragraphs explaining conduction, convection, and radiation. The paragraph must include examples of each and explain the type of energy. It also must include conductors and insulators and various examples of each.

Answers

Answer:

Eeeeeeeeeeeeeeeeeeeeeeeeeee

If we increase the driving frequency in a circuit with purely resistive load, how do the amplitudes VR and IR change?

Answers

Answer:

V = I R    

expression does not depend on the frequency, so when changing this quantity does not change the voltage or the current in the circuit.

Explanation:

In a purely resistive circuit, the Ohm relation, m for which

          V = I R

We see that the previous expression does not depend on the frequency, so when changing this quantity does not change the voltage or the current in the circuit.

This does not happen in circuits with capacitors or inductors where there is an explicit dependence on frequency.

Betelgeuse - the right shoulder star of Orion - is a red giant star. Its radiation peaks in the infrared at λ = 800 nm. What is the surface temperature of the star?

Answers

Answer:

3622.5 K

Explanation:

The radiation of red giant star is 800nm.

We need to find the surface temperature of the star. Let it is T.

Using Wein's displacement law to find it as follows :

[tex]\lambda=\dfrac{C}{T}[/tex]

C is constant an T is temperature

[tex]T=\dfrac{C}{\lambda}\\\\T=\dfrac{2.898\times 10^{-3}}{800\times 10^{-9}}\\\\ T=3622.5\ K[/tex]

So, the surface temperature of the star is 3622.5 K.

What is the kinetic energy of a 4-kg toy car moving at a velocity of 8 m/s?
O 32J
64 J
O
128 J
256 J

Answers

Answer:

128 J

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass

v is the velocity

From the question we have

[tex]k = \frac{1}{2} \times 4 \times {8}^{2} \\ = 2 \times 64[/tex]

We have the final answer as

128 J

Hope this helps you

Mass of toy the car = 4 kg

Velocity of toy the car = 8 m/s

Kinetic energy of an object is the energy that it possesses due to its motion.

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity.

Formula of Kinetic energy:

[tex] \boxed{ \bf{KE = \dfrac{1}{2}mv^2}}[/tex]

KE → Kinetic energy of the Object (J)

m → Mass of the Object (kg)

v → Speed of the Object (m/s)

By substituting values in the formula, we get:

[tex] \rm \longrightarrow KE = \dfrac{1}{2} \times 4 \times 8^2 \\ \\ \rm \longrightarrow KE = \dfrac{1}{2} \times 4 \times 64\\ \\ \rm \longrightarrow KE = 2 \times 64 \\ \\ \rm \longrightarrow KE = 128 \: J[/tex]

[tex] \therefore [/tex] Kinetic energy of the toy car = 128 J

(60 points pls help thx)a worksheet on calculating speed

Answers

Which ones are you struggling with

Nicki rides her bike at a constant speed for 6 km. That part of her ride takes her 1 h. She then rides her bike at a constant speed for another
km. That part of her trip takes her 2 h. What is her average speed?

Answers

Answer:

Nicki's Average Speed is 6 km

Explanation:

If Nicki rides her bike at a constant speed for 1 hour, that means that Nicki will stay at a constant rate for another 2 hours.

Thus your answer: 6 km

N stands for _____________________, which is an SI unit of force.

Answers

Answer:

Newton

Explanation:

A 1100 kg sports car accelerates from 0m/s to 32m/s in 10 seconds. What is the average power of the engine?

Answers

Answer:

The average power of the engine of the sports car is 56.32 kW

Explanation:

Given;

mass of the sports car, m = 1100 kg

initial velocity of the sports car, u = 0 m/s

final velocity of the sports car, v = 32 m/s

time of motion, t = 10 s

The kinetic energy of the car is given by;

K.E = ¹/₂m(v² - u²)

K.E = ¹/₂mv²

K.E = ¹/₂ x 1100 x 32²

K.E = 563200 J

The average power of the engine of the sports car is given by;

Pavg = Energy / time

Pavg = 563200 / 10

Pavg = 56320 W

Pavg = 56.32 kW

Therefore, the average power of the engine of the sports car is 56.32 kW

Help please an observer at the North Pole sees the moon phase shown below. What Moon phase will be observed approximately one week later?

Answers

Answer:

it should be a new moon

Explanation:

A book on a 2-meter high shelf has a mass of 0.4 kg. What is its potential energy?

Answers

Answer:

[tex]\boxed {\boxed {\sf 7.84 \ Joules}}[/tex]

Explanation:

The formula for potential energy is:

[tex]PE=m*g*h[/tex]

where m is the mass, g is the gravitational acceleration, and h is the height.

The mass of the book is 0.4 kilograms. The gravitational acceleration on Earth is 9.8 m/s². The height of the book is 2 meters.

[tex]m=0.4 \ kg \\g=9.8 \ m/s^2 \\h=2\ m[/tex]

Substitute the values into the formula.

[tex]PE=(0.4 \ kg)(9.8 \ m/s^2)(2 \ m)[/tex]

Multiply the first two numbers.

0.4 kg*9.8 m/s²= 3.92 kg*m/s²If we convert the units now, the problem will be much easier later on. 1 kg*m/s² is equal to 1 Newton. So, our answer of 3.92 kg*m/s² is equal to 3.92 N

[tex]PE=(3.92 \ N )(2 \ m)[/tex]

Multiply.

3.92 N* 2 m=7.84 N*m1 Newton meter is equal to 1 Joule (this is why we converted the units). Our answer is equal to 7.84 Joules.

[tex]PE=7.84 \ J[/tex]

Answer:

7.84 is your answer ok bye

A 1235 kg whale swims horizontally at a speed of 6.4 m/s. It suddenly collides directly with a stationary seal of mass 189 kg. The seal grabs onto the whale and holds fast. What is the speed of these two sea creatures just after their collision?

Answers

Answer:

The speed of these two sea creatures just after their collision is 5.55 m/s.

Explanation:

Given;

mass of the whale, m₁ = 1235 kg

initial speed of the whale, u₁ = 6.4 m/s

mass of the seal, m₂ = 189 kg

initial speed of the seal, u₂ = 0

let their final speed after collision, = v

Apply the principle of conservation of linear momentum;

m₁u₁ + m₂u₂ = v(m₁ + m₂)

(1235 x 6.4) + (189 x 0) = v(1235 + 189)

7904 = 1424v

v = 7904 / 1424

v = 5.55 m/s

Therefore, the speed of these two sea creatures just after their collision is 5.55 m/s.

the nitrogen group has 5 electrons true or false

Answers

Answer:

True

Nitrogen family elements consists of atoms having 5 electrons in their outer energy level.

Please mark me the brainliest

Hope it may helps you

How much heat does 56 L of water need to absorb to raise its temperature from 350C to 740C?​

Answers

Answer:

300 L of water

Explanation:

3. A car travels at 30mph for 2hours and then 40mph
for 3hours in the same direction. What is the average
speed of the vehicle's entire trip?

Answers

Answer:

1. 60/90

2.67/63

Explanation:

A body can have zero average velocity but not zero average speed. Why?​

Answers

displacement can be zero so velocity is zero but the distance won’t be zero so speed won’t be zero

When Royce was 10 years old, he had a mass of
30 kg. By the time he was 16 years old, his mass
increased to 60 kg. How much larger is the
gravitational force between Royce and Earth at
age 16 compared to age 10?

Answers

Answer:

The gravitational force between Royce and Earth would be doubled at 16 years.

Explanation:

"Newton's law of universal gravitation states that gravitation force between two masses is proportional to the magnitude of their masses and inverse-squared of their distance".

Royce Scenario

At the age of 10 Royce's mass = 30kg

At the age of 16 Royce's mass = 60kg

From Newton's law of universal gravitation, an Increase in the mass of a body would amount to a corresponding increase in the gravitational force.

In the case of Royce, the mass double between the age of 10 and 16, so there would be an increase of the gravitation force by double.

The gravitational force at the age of 60 is doubled of the gravitational force at the age of 10. A complete solution is below.

Given:

At 10 years old,

Mass,

m = 30 kg

now,

→ [tex]Gravitational \ force (F_1) = \frac{GMm}{r^2}[/tex]

                                          [tex]= mg[/tex]

or,

→ [tex]g = \frac{GM}{r^2}[/tex]

then,

Gravitational force = 30 g

Now,

At 16 years old,

Mass,

m = 60 kg

Now,

→ [tex]\frac{F_1}{F_2} = \frac{30}{60}[/tex]

       [tex]=\frac{1}{2}[/tex]

  [tex]F_2 = 2F_1[/tex]

Thus the above response is right.

Learn more:

https://brainly.com/question/22416758

(3x104 kg) (4 x 104 m)
6 x 104 s​

Answers

Answer:

77852x∧100 kgms

Explanation:

What is the minimum energy (in MeV) that is required to break a nucleus of 12C (of mass 11.99671 u) into three nuclei of 4He (of mass 4.00151 u each)?

Answers

Answer:

the minimum energy that needed to break the nucleus is  1.12608 × 10^-12 J

Explanation:

The computation of the minimum energy that needed to break the nucleus is shown below:

The Change in mass is

= 11.99671 - 3 × 4.00151

= 0.00782

The Energy = mc^2

= (0.00782 × 1.6 × 10^{-27}) × (3 × 10^8)^2

= 1.12608 × 10^-12 J

Hence, the minimum energy that needed to break the nucleus is  1.12608 × 10^-12 J

The same is to be considered

HURRY
An ultrasound tech is trying to identify an object, but the screen of the machine is broken. Which statement best describes this situation?

The generated sound wave will not be able to reflect off of the object.
The sound wave will not be generated, so there will be no echoes received.
The echoes will be made but will not be able to be received by the machine.
The machine will not be able to process the received echoes into images.

Answers

Answer:

It’s b

Explanation:

Everyone else is wrong and I tried this and got it right

Answer:

the answer is b or "The sound wave will not be generated, so there will be no echoes received."

Explanation:

ok who love lizard can we talk plz

Answers

Answer:

Meeee

Explanation:

A projectile is fired horizontally from a height of 78.4 m at a speed of 300 m/sec. How far did it travel horizontally before hitting the ground?​

Answers

Answer:

Explanation:

Using the formula for calculating range expressed as;

R = U√2H/g

U is the speed = 300m/s

H is the maximum height = 78.4m

g is the acceleration due to gravity = 9.8m/s²

Substitute into the fromula;

R = 300√2(78.4)/9.8

R = 300 √(16)

R = 300*4

R = 1200m

Hence the projectile travelled 1200m before hitting the ground

A proton moves at a speed of 850 m/s in a direction perpendicular to a magnetic field with a magnitude of 0.70 T. What is the magnitude of the magnetic force on the proton?

Answers

Answer:

The magnitude of the magnetic force on the proton is 9.532 x 10⁻¹⁷ N

Explanation:

Given;

speed of proton, v = 850 m/s

magnitude of magnetic field, B = 0.7 T

Charge of proton, q = 1.602 x 10⁻¹⁹ C

The magnitude of the magnetic force on the proton;

F = qvB

F = ( 1.602 x 10⁻¹⁹)(850)(0.7)

F = 9.532 x 10⁻¹⁷ N.

Therefore, the magnitude of the magnetic force on the proton is 9.532 x 10⁻¹⁷ N

HELLPPPP PLZZZ
10. Identify Which gas law
does this graph represent.

Answers

This graph represents Boyle’s gas law because as the pressure is increasing, the volume is decreasing. Boyle’s law states that pressure and volume will have an inverse relationship (opposite or reverse) when temperature is constant, which is what’s going on here. So, as pressure goes up, volume goes down. The other relationship is as pressure goes down, volume goes up.
Other Questions
17. You roll two dice. How many ways can you roll a sum greater than 7 or a doubles? A refrigerator costs $599. If the tax is 7.5%, the additional amount of money necessary to purchase the refrigerator is$4.52$44.93$75.00 Fill in the blank with the correct verb (either saber or conocer) conjugated correctly.Ustedesque hay un examen hoy? What is the Volume? The table below shows the proportional relationship between the weight of cat food, in ounces, and the number of bags of cat food:Number of Bags of Cat Food Number of Ounces of Cat Food4 645 806 96What is the constant of proportionality? Group of answer choices471632 16-2t=3/2t+9Solve for t please answer this question Does the table represent a proportional relationship? Show your work! Y E S . No Need to answer. Starting at (0,0) an object travels 36 meters north and then it covers 20 meters east. What isthe magnitude and direction of its displacement? ( The ant teaches us a lesson about:A. mischievousnessB. lyingC. prideD. laziness Describe the relationship between the Sun and Climate Zones. Part I Simplifying Expressions Simplify the following expressions: 13t (2+4)5t + 15 -2 (3y + 5) 2 Part II Evaluating Expressions/Equations True or False? Each question below shows an equation and a value for x. Which of the following are true? 1. If 2(x3)=10 , then x=2. 2. If 6x2=20 , then x= 3. 3. If 8(x+5)=48 , then x=1. 4. If 2x+5=5, then x=5. Page BreakPart III Solving Equations and Inequalities Solve the equation x 23.25 = 22.4 Solve 23 - 3n = 26. Solve 2 5x 28 Question attached just look at the picture helllppppp its for a grade and i need help i will mark brainliest!! Select the statement that best describes the rates of the two cars Help please thanks so much Read this excerpt from "The All-American Slurp."60 pointsMothers approach was to memorize lists of polite phrases that would cover all possible social situations. She was constantly muttering things like Im fine, thank you. And you? Once she accidentally stepped on someones foot, and hurriedly blurted, Oh, thats quite all right!How does this excerpt support the main conflict of the story?It illustrates the challenges of understanding a new language and culture.It proves that mothers and daughters disagree about how to study.It suggests that careless behavior can cause injuries to others.It demonstrates the importance of manners in all cultures. How does carbon move from plants to animals?Group of answer choices A baker uses chocolate with 75% cocoa for his famous cake. But his supplier delivered 100 lb of chocolate with 70% cocoa, so the baker needs to melt and mix the delivery with chocolate that has 90% cocoa. How much of the 90% chocolate should he use?