A disk at rest experiences constant angular acceleration for t = 25 s, at the end of which it is spinning with a frequency of f = 55 rpm. Please answer the following questions.

A)Write a general expression for the magnitude of the angular velocity of the disk after the acceleration in terms of frequency.

B)Calculate the magnitude of the angular velocity of the disk in rad/s at time t = 25 s.

C)Write a general expression for the average angular acceleration of the disk αave in terms of angular velocity.

D) Calculate the magnitude of the average angular acceleration of the disk αave from rest to t = 25 s in rad/s2.

E)Write a general expression for the period T of the disk in terms of frequency f.

F)Calculate the magnitude of the period of the disk T at time t = 25 s in seconds.

Answers

Answer 1

(a) A general expression for the magnitude of the angular velocity of the disk is 2πf.

(b) The magnitude of the angular velocity of the disk is 5.76 rad/s.

(c) A general expression for the average angular acceleration of the disk  is ω/t.

(d)  The magnitude of the average angular acceleration of the disk is 0.23 rad/s².

(e) A general expression for the period T of the disk is 1/f.

(f) The magnitude of the period of the disk is 0.17 s.

Angular velocity

The angular velocity of the disk is the rate of change of angular displacement with time.

ω = 2πf

where;

f is the frequency

[tex]\omega = 2\pi \times 55\frac{rev}{\min} \times \frac{1 \min}{60 \ s} = 5.76 \ rad/s[/tex]

The angular velocity of the disk at time, t = 25 s is 5.76 rad/s.

Average angular acceleration of the disk

[tex]\alpha = \frac{\Delta \omega }{t} \\\\\alpha = \frac{5.76}{25} \\\\\alpha = 0.23 \ rad/s^2[/tex]

Period of the disk

T = 1/f

T = 1/5.76

T = 0.17 s

Thus, the period of the disk at time t = 25 s is 0.17 s.

Learn more about angular velocity here: https://brainly.com/question/6860269


Related Questions

A 2-kg block is thrown upward from a point 20 m above the Earth's surface. At what height above Earth's surface will the gravitational potential energy of the Earth-block system have increased by 500 J?

Answers

Answer:

45.5 m

Explanation:

m = 2 kg, h = 20 m, E = 500 J, radius of earth = R, mass of earth = M

find the new height H

at h, the potential energy = -GMm/(R + h)

at H, the potential energy = -GMm/(R + H)

increase of the potential energy

= [-GMm/(R + H)] - [-GMm(R + h)]

= GMm[1/(R + h) - 1/(R + H)] = E

1/(R + h) - 1/(R + H) = E/(GMm)

(H - h)/[(R + H)(R + h)] = E/(GMm)

R + h ≈ R, R + H ≈ R

so (H - h)/R² = E/(GMm)

H - h = ER²/(GMm)

note GM/R² = g = 9.81 m/s²

so H - h = E/(mg)

H = h + E/(mg) = 20 + 500/(2*9.81) = 45.5 m

Is this an example of outline??And why?​

Answers

Answer:

Yes

Explanation:

You included all the stages of matter and described each of them. You're outlining their properties and you've created a clear diagram (and by diagram I mean chart) of solids, liquids, and gas.

A proton high above the equator approaches the
Earth moving straight downward with a speed of
365 m/s.
Find the acceleration of the proton, given that the magnetic field at its altitude is 4.10*10^-5 T.

Answers

We can see from the calculations that the acceleration of the proton is 1.43 * 10^7 ms-2.

What is acceleration?

Acceleration is the rate of change of velocity with time. We know that the magnetic force is obtained by;

F = qvB

q= 1.6 * 10^-19 C

v = 365 m/s

B =  4.10*10^-5 T

F = 1.6 * 10^-19 C * 365 m/s *  4.10*10^-5 T

F = 2.39 * 10^-20 N

Recall that the mass of the proton is 1.67 × 10−27 kg hence

a = F/m = 2.39 * 10^-20 N/1.67 × 10−27 kg  = 1.43 * 10^7 ms-2

Learn more about acceleration: https://brainly.com/question/12134554

i need help on a english book report

Answers

Answer:

I can help, but

Explanation:

Where is the question?

what negative influences must be avoided to be able to achieve your goal mention at least 3​

Answers

The negative influences that must be avoided in order to achieve your goal are excuses, procrastination and distractions.

What is negative influence?

A negative influence is someone or something that induces negative or bad action in someone. This bad influence can create bad energy within and corrupt good mind.

Three negative influence to avoidAvoid excusesAvoid procrastinationAvoid distractions.

Thus, the negative influences that must be avoided in order to achieve your goal are excuses, procrastination and distractions.

Learn more about negative influences here: https://brainly.com/question/1666465

Devon is riding his bicycle at 15 m/s. How far will he travel in 12 s?

Answers

Devon will travel 180m in 12 seconds. All you have to do is multiply 15 by 12. Hope this helps

)Which will likely produce a greater amount of static charge: a wool sweater worn under a cotton jacket, or a wool sweater worn under a rubber rain coat? Why?

Answers

A wool sweater worn under a cotton jacket produces more static charges.

What is static charge?

Static charge is an imbalance of electric charges within or on the surface of a material or between materials.

Static charges can be produced by two materials together (friction method).

A wool sweater worn under a cotton jacket (in the absence of lubricant like water) creates friction which enables more static charge to be produced.

Thus, a wool sweater worn under a cotton jacket produces more static charges.

Learn more about static charges here: https://brainly.com/question/830809

How many neutrons are in He

Answers

There are 2 neutrons in helium.

A 2kg rock is at the edge of a cliff 20m above the surface of a lake. It comes loose and falls. Half way down it is falling at 14 m/s. What is its Kinetic Energy at the half way point?

Please show work!

Answers

Answer:

196 Joules

Explanation:

kinetic energy = 1/2 * mass * velocity²

Given:

mass: 2 kgvelocity: 14 m/s

using formulae:

[tex]\rightarrow \sf kinetic \ energy = \dfrac{1}{2} * 2 * 14^2[/tex]

[tex]\rightarrow \sf kinetic \ energy = 196 \ J[/tex]

(06.02 MC)
What can a scientist use to observe very small things?

Answers

Answer:

microscopic light or Nano technology

The speed of sound is measured to be 336 m/s on a certain day. What is this measurement in kilometers per hour

Answers

Answer:here’s how you do it

Explanation:

The pressure on a volume of liquid V = 1.0 mº at the surface is approximately equal to the atmospheric pressure Patm = 1.00 x 105 N/m2. If this volume of liquid is now
placed at a depth where the pressure is P = 2.30 x 10' N/m², what will be the change in volume of the liquid (in mº)? The bulk modulus of the liquid is 8.0 x 100 N/m².
(Include the appropriate sign with your answer.)
m
Additional Materials

Answers

Answer:-2.86*10⁻⁴

Explanation: Use the equation change in volume = (change in pressure * original volume) / Bulks Modulus. ΔV = (-Δp*V₀) / B

Plugging in your numbers, you should get ΔV = (-2.29*10⁷*1) / (8*10¹⁰) = -2.86*10⁻⁴

ΔP = P₂-P₁  ----> ΔP = 2.30*10⁷ - 1.00*10⁵ = 2.29*10⁷

Rick's car has a mass of 1000 kg and its brakes can apply 8000 N of force. If he is driving at 32 m/s and sees something in the road suddenly, how long will it take his car to come to a stop? Use the equation below to help you.

Answers

Answer:

Given:

m=1000kg

F=8000 N

u=32m/s

v=0m/s

Required:

T=?

Solution:

F=m × a

8000N = 1000kg × a

a = 8m/s^2

Since it's deceleration -8m/s^2

a= v - u / t

-8m/s^2 = 0 - 32m/s / T

T = 4 s

Hence the car takes 4sec to stop

Please follow me

The stopping time of the car is equal to 4 seconds.

What is speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that,

m=1000kg

F=8000 N

u=32m/s

v=0m/s

The acceleration will be calculated by the formula below,

F = m × a

8000N = 1000kg × a

a = 8 m/s²

Since its deceleration -8m/s². The time taken is calculated by the formula,

a= v - u / t

-8= (0 - 32 ) / t

t = 32 / 8

t = 4 seconds

Therefore, the stopping time of the car is equal to 4 seconds.

To know more about speed follow

https://brainly.com/question/14693128

#SPJ2

A student shines a mixture of red and blue light onto a blue toy car what color will the car appear to have explain your answer

Answers

Answer:

If we use a mixture of red and blue light, the blue toy car might reflect deep magenta color. If the toy car is made up of metal, it might reflect glittery magenta color. If the intensity of the blue color is greater, the toy car might show dark blue color

Explanation:

is this right please let me know:D

Which one is true ?????

Answers

Answer:

b. horizontal distance/time graph

Explanation:

d is incorrect because object is moving at the same pace the entire time


Help me pls, I need it now​

Answers

6.) a

7.) d

8.) b

9.) b

10.) a

1. a

2. d

3. b

4. b

5. a

[tex] \: \: [/tex]

Calculate how long it takes Neptune in earth years for one trip around the sun by using an average Sun-Neptune distance of 30 A.U. ( ) 0.735 earth years Show calculation: ( ) 1.84 earth years ( ) 3.37 earth years ( ) 164 earth years

Answers

Answer:

164 earth years

Explanation:

By Kepler's third law

r³/T² = constant

(30 A.U)³/T² = (1 A.U.)³/(1 earth year)²

so T = 30^1.5 = 164 earth years

Help me pls, ASAP..
____1. These are motion graphs that show a change in an object’s location over time.

____2. It can show us if an object is going backwards or forwards (direction).

____3. These are useful and effective tools in visually presenting the motion of objects.

____4. It is the line of dots on the tape that is created when a long tape is attached to

an object that is moving.

____5. It is a periodic disturbance that moves away from a source and carries energy with it.

____6. It is the maximum displacement of a particle of the medium on either side of its

normal position when the wave passes.

____7. It is a measurement of how fast the sound wave vibrates.

A. Amplitude
B. Displacement-time graph
C. Frequency
D. Motion graphs
E. Position-time graphs
F. Ticker tape diagram
G. Wave​

Answers

[tex] \qquad \huge \underline{ \boxed{\sf Answer}}[/tex]

Here's the correct choices for the blank questions~

# 1 : position - time graph

#2 : Displacement - time graph

#3 : Motion graphs

#4 : Ticker tape diagram

#5 : Wave

#6 : Amplitude

#7 : Frequency

The answers to the questions are as follows :

Position time graphs ( E ) Displacement time graph ( B )Motion graphs ( D )Ticker tape diagram ( F ) Wave ( G ) Amplitude ( A ) Frequency ( C )

The different types of motion graphs

Position time graphs are motion graphs that show the change in an object position in relation to time traveled, while a displacement time graph shows if an object is going backwards or forward and unlike distance, she does not consider the direction of movement of an object.

Motion graphs are used for the presentation of the motion of objects visually.

Hence we can conclude that the answers to your questions are as listed above.

Learn more about Ticker tape diagram : https://brainly.com/question/4583195

#SPJ5

In scientific terms, anything that represents something else is called a
O theory
O model
O hypotnesis
O chemical bond

Answers

The answer is a model
Please mark brainliest!

Which of the following states that energy cannot be created or destroyed?

Answers

Answer:

germany

Explanation:

What is the average power consumption in watts of an appliance that uses 5.00 KW.h of energy per day?

Answers

(A) power = 0.208 kW = 208 watts
(B) energy = 6.6 x 10^{9} joules

Explanation:
energy consumed per day = 5 kWh
(a) find the power consumed in a day
1 day = 24 hours
power = \frac{energy}{time}
power = \frac{5}{24}
power = 0.208 kW = 208 watts

(b) find the energy consumed in a year
assuming it is not a leap year and number of days = 365 days
1 year = 365 x 24 x 60 x 60 = 31,536,000 seconds
energy = power x time
energy = 208 x 31,536,000
energy = 6.6 x 10^{9} joules

Okay the question is calculate the current when 1200C of charge flows through a wire in 200 s.

Answers

Hi there!

Using the equation for current:

[tex]I = \frac{\Delta Q}{\Delta t}[/tex]

I = Current (A)
Q = Charge (C)
t = time (s)

Therefore, the current is equivalent to the amount of charge passing through a wire over a given time interval.

We can plug in the given values and solve.

[tex]I = \frac{1200}{200} = \boxed{6 A}[/tex]

Question #1
Given the free body diagram below, which direction will the object accelerate? Assume that the length of
Fair is the same as Fapp.

Answers

Given the diagram provided, we can confirm that the object will accelerate in a downward direction.

Why will it accelerate downwards?

The free-body diagram shows us the forces that are acting on this object. Through this diagram, we can see that the forces on the left and right of the object are balanced, meaning that there will not have movement in either of these directions.

The diagram shows that the downward force being applied is not balanced by an opposite force, so the object will accelerate in this direction.

Therefore, we can confirm that object will accelerate in a downward direction due to its downward force not being balanced by an opposing force.

To learn more about balanced forces visit:

https://brainly.com/question/26115859?referrer=searchResults

i need help question confuseing

Answers

Answer:

could you tell me what the question is pls, that way I can help you

Explanation:

what force is required to acceleration a body with a mass of 32 kilograms at a rate of 12 m/s

Answers

Answer:

384 N

Explanation:

F=m×a

F= ?

m= 32kg

a= 12m/s

32×12 = 384 N

N is newton's

hope this helps

right answer gets brainliest, wrong answer gets ignored
The star Sirius has a temperature of 10,700 degrees Celsius and has a luminosity of 23 solar luminosity units. At which letter on the HR Diagram would you place Sirius?

Answers

Answer:

A

Explanation:

Because A looks like it's in the 10,700 degree area and also in the 23 luminosity area.

what is the kinetic energy of an object that has a mass of 12 kg and moves with a velocity of 10 m/s

Answers

Answer:

600 J

Explanation:

The formula to find the kinetic energy of an object is [tex]\frac{1}{2}mV^2[/tex]

m = mass in kgV = velocity in m/sKE is measured in Joules just as all other forms of energy.

Now, let's plug in the variables we're given and simplify.

[tex]\frac{1}{2}(12)(10)^2[/tex] [tex]\frac{1}{2}(12)(100)[/tex] [tex](6)(100)[/tex] [tex](600)[/tex]

Thus, the answer is 600 Joules.


Which car is faster A or B

Answers

Answer:

A

Explanation: Car A is the fastest

How does the evolutionary process contradict the second law of thermodynamics?

Answers

Evolution, the argument goes, is a decrease of entropy, because it involves things getting more organized over time, while the second law says that things get more disordered over time. So evolution violates the second law.

Brainliest if correct

Answers

Answer:

the answer is C. rocket 4.

Explanation:

[tex]a = \frac{f}{m} \\ \\ c) a = \frac{120}{3.25} = 36.923...[/tex]

it's the biggest amongst the four.

rocket one has an acceleration of 34.782...

rocket two has an acceleration of 22.429...

rocket three has an acceleration of 26.666...

rocket four has an acceleration of 36.923

Other Questions
A force of 2000N pulls a load at an angle of 60degrees with the horizontal. if the weight of the object is 3000N, Calculate the coefficient of static friction. Jean's eye level is 1.5 meters off the ground. When he stands 430 meters from the base of the Eiffel Tower, he must tilt his head up by 36 to see the top of the tower. Based on this, how tall is the Eiffel Tower? Round to one decimal place, if necessary, and include units in your final answer. SHOW WORK Can someone give me an example of a strong statement hook about video games? When reviewing her Experian credit report, Dela found it to contain inaccurate information. She has informed Experian in writing. Within how much time after receiving the notice is Experian required to investigate Emma is 1/4 as old as her father. In 20 years, Emma will be half as old as her father. The equation 1/4x+20=1/2 (x+20) represents this situation, where x isEmmas fathers age now. How old is Emmas father now? How old is Emma now? Kids CAN! by Pactricia Bridgman answer questions What are some samples of Leonadro da Vinci's great artwork?. When he opened the square box of prison uniforms, Bill discovered they were small in size and pink in colornot what had been previously ordered. The cathedrals of the middle ages were ______ buildingsA. stoneB. wooden help. ill mark brainlist ONE OF U BEAUTIFUL PPPL HELP ME WITH AN ANSWER PLEASE PLEASE HELP !!!!!!!!!!!!!!Fill in the blanks in the following sentences with the appropriate definite and indefinite articles. The translations should help you decide which articles to use where.1.__________Gare du Nord est______grande gare. The Gare du Nord is a big station.2._____voyageurs achtent_____billets de train. The travelers buy train tickets.3. Il y_____voiture-restaurant dans______train. There is a restaurant wagon in the train.4._______tableau d'affichage est ct du bar. The display is next to the bar. Does natural number have inverses Find the area of the sector. The central angle is given in radians. Round your answerto the nearest hundredth. Please help thank you so much Math experts At a school fair, a person can go on up to 10 rides.Read the problem. Which description best represents the number of rides a person can go on?Any value greater than 10Any value less than 10Any value less than or equal to 10Any value greater than or equal to 10 NEED HELP RIGHT NOW PLEASE Which of these is a statement of opinion?A. Jules Verne's 1873 novel, Around the World in 80 Days, inspired female journalist Nellie Bly to take her own journey around the world. B. It wasn't wise for Jeanne Baret to disguise herself as a man on a voyage aboard the toile because it was almost certain she would have been found out sooner or later. C. Lady Hester Stanhope traveled throughout the Middle East wearing men's clothing, riding a horse astride, and creating commotion along the way. D. French explorer Louis-Antoine de Bougainville invited several French scientists to join him on a voyage of scientific discovery aboard the toile in 1766 What is the rate of a chemical reaction? a.the speed at which reactants change to products over a given time the speed at which reactants change to products over a given timeb. the amount of each reactant needed in relation to all the others the amount of each reactant needed in relation to all the others c.the time it takes for all the reactants to become products the time it takes for all the reactants to become products d. the energy cost to transform all reactants into products In cell K10, create a formula using the SUM function that calculated the total of the range F17:F20 subtracts it from the value in cell J10 adds the total of the range G17:G20 and subtracts 160 In which situation would hydroponics be most useful for sustainable farming?(1 point)a desert area with limited rainfalla desert area with limited rainfalla mountainous area facing erosiona mountainous area facing erosiona tropical area facing deforestationa tropical area facing deforestationa temperate area with too much direct sunlighta temperate area with too much direct sunlight