You are standing next to a table and looking down on a record player sitting on the table. Take the spindle (axis of rotation) to be the center of your coordinate system and the y axis to be perpendicular to the side of the player you are standing next to. Long-playing records revolve 33(1/3) times per minute. You put a small blob of clay at the edge of a record that has a radius of 0.15 m, positioning the clay such that it is at its greatest value of y at t = 0.

Equation of motion for the y component of the clay's position: y(t)=Asin(ωt+ϕi)

Required:
a. What is the rotational speed of the clay?
b. Determine the value of A in the equation of motion.
c. Determine the value of ϕi in the equation of motion. Suppose that −π<ϕi≤π

Answers

Answer 1

Answer:

a) the rotational speed of the clay is  3.45 rad/s

b) the value of A in the equation of motion is 0.15 m

c) the value of ϕi is 90° or π/2 rad.

Explanation:

 Given that;

Revolution per minute rpm = 33( 1/3) =  100/3

The frequency f = 100 / 3(60) = 0.55 Hz

a)

Rotational speed W = 2πf

we substitute

W = 2π × 0.55

W = 3.45 rad/s

Therefore, the rotational speed of the clay is  3.45 rad/s

b)

given equation; y(t)=Asin(ωt+ϕi)

given that radius = 0.15 m

y(t)=(0.2)sin(ωt+ϕi)

Therefore, the value of A in the equation of motion is 0.15 m

c)

since y(t) has the maximum value at t =0

so at t=0

y(0) = (0.15)sin(ω(0)+ϕi)

= 0.15sin(ϕi)

this will give maximum value when ϕi = 90°

so

y(0) = (0.15)sin(ω(0)+ϕi)

= 0.15sin(90°)

= 0.15

hence, the value of ϕi is 90° or π/2 rad.


Related Questions


A 50kg refrigerator is being moved across a kitchen floor with an applied force of
300N. There is a known friction force of 50N acting against the motion of the
refrigerator.


What was the acceleration of the refrigerator? [ Select ]
m/s2

Answers

Answer:

5m/s²

Explanation:

Given parameters:

Mass of refrigerator  = 50kg

Applied force  = 300N

Frictional force  = 50N

Unknown:

Acceleration of the refrigerator  = ?

Solution:

To solve this problem:

  Net force = m x a

  m is the mass

   a is the acceleration

 Net force  = Applied force  - Frictional force

             300  - 50  = 50 x a

                   250  = 50 x a

                    a  = 5m/s²

Starting from the front door of your ranch house, you walk 50.0 m due east to your windmill, and then you turn around and slowly walk 30.0 m west to a bench where you sit and watch the sunrise. It takes you 27.0 s to walk from your house to the windmill and then 47.0 s to walk from the windmill to the bench. For the entire trip from the front door to the bench, what are your :

a. average velocity
b. average speed

Answers

Answer:

Explanation:

Total displacement for entire trip = final position - initial position

= 50 m - 30 m = 20 m

Total time = 27 + 47 = 74 s

Average velocity = Total displacement / total time

= 20 / 74 = .27 m /s

Total distance covered in entire trip = 50 + 30 = 80 m

Total time = 74 s

Average speed = Total distance covered / total time

= 80 / 74 = 1.08 m /s .

A ball rolling on the floor eventually comes to a stop. Which statement best describes this situation?

A) The energy on the macroscopic scale and the energy on the molecular scale both decreased.

B) The energy on the macroscopic scale increased, and the energy on the molecular scale decreased.

C) The energy on the macroscopic scale decreased, and the energy on the molecular scale increased.

D) The energy on the macroscopic scale and the energy on the molecular scale both remained constant.

If you have the rest please put them down :)

Answers

Answer:

Explanation:

C. The energy on the macroscopic scale decreased, and the energy on the molecular scale increased.

A. friction converts some energy on the macroscopic scale to energy on the molecular scale.

B. The mechanical energy of the system decreased because of friction.

B. The mechanical energy of the system at the beginning of the experiment is equal to the mechanical energy of the system at the end of the experiment.

B. the mechanical energy of the system decreased due to the transfer of energy on a macroscopic scale to energy on a molecular scale.

The  ball rolling on the floor eventually comes to a stop which means that

the energy on the macroscopic scale decreased, and the energy on the

molecular scale increased.

What is Macroscopic scale?

This is a scale in which an object can be seen with the eyes. When

an object is in motion, the ball rolls away and becomes less visible hence a

decrease in the macroscopic scale.

During motion, friction converts some macroscopic energy into molecular

scale which is why there was an increase in it.

Read more about Macroscopic scale here https://brainly.com/question/17609067

Before there is a transfer of charges between objects, they are uncharged. What does this mean? (pls answer by 7:35)​

Answers

Answer: This means that the objects didn't hold or have any charges before it was charged by something or someone

Explanation:

Like a dead phone it dosn't have any "charge", but after you put the charger in the wall you can plug the phone in and get it charged It's an on going cycle of energy being turned into other energy.

Answer:

The answer is C

Explanation:

The positive and negative charges are equal.

How many miles per day can you walk at a MODERATE Intensity level and your heart rate is 170?

Answers

Answer:

Not enough detail as it is very defendant on the person and a bunch of factors in health, but overall your heart rate shouldn't reach 170 as an adult walking at a moderate intensity level, that would be closer to extreme intensity.

Explanation:

28. Which of the following correctly shows the order of highest amount of friction to the lowest amount of
friction?
a. Static, Rolling, Sliding
b. Sliding, Rolling, Static
c. Rolling, Static, Sliding
d. Static, Sliding, Rolling

Answers

Answer:

[tex]\mathrm{d.\:Static,\: Sliding,\:Rolling}[/tex]

Explanation:

Static friction occurs when an object initially starts at rest. When the surfaces of the materials touch, the microscopic unevenness interlock greatest with each other, causing the most friction out of the three.

During sliding friction, an object is already moving or in motion. The microscopic surfaces still interlock, but because the object is in motion, it has a momentum. Therefore, the magnitude of sliding friction is less than that of static friction.

Rolling friction occurs when an object rolls across some surface. Rather than surfaces interlocking, rolling friction is caused by the constant distortion of surfaces. As it rolls, the surfaces of the object are constantly wrapping and changing. This distortion causes the rolling friction. However, it is much less in magnitude when compared to static or sliding friction.

Do it in order.
from smallest to largest

Answers

Answer:

The earth, The sun, the solar system and the milky way.

Please answer this question I don't know how to do it.

Answers

One year = 365 days = 8760 hours = 525,600 minutes = 31,536,000 seconds

One light year = speed of light * 31,536,000 seconds

1340 light years = 1340 * one light year

Two microwave signals of nearly equal wavelengths can gener- ate a beat frequency if both are directed onto the same microwave detector. In an experiment, the beat frequency is 100 MHz. One microwave generator is set to emit microwaves with a wavelength of 1.250 cm. If the second generator emits the longer wavelength, what is that wavelength

Answers

Answer:

the longer wavelength is 1.2552 cm

Explanation:

given that

beat frequency [tex]f_{b}[/tex] = 100 MHz = 100 × 10⁶ Hz

λ₁ = 1.250 cm = 0.0125 m

we know that beat frequency [tex]f_{b}[/tex] of two simultaneous frequencies f₁ and f₂ is expressed as;

[tex]f_{b}[/tex]  = | f₁ - f₂ |

we know that microwave travels at a speed of light, so for any electromagnetic wave traveling at speed of light c with wavelength λ; frequency is;

f = c / λ

hence our beat frequency [tex]f_{b}[/tex] becomes

[tex]f_{b}[/tex] = c ( 1/λ₁ - 1/λ₂)

to find the longer wavelength,  λ₂

[tex]f_{b}[/tex] = c ( 1/λ₁ - 1/λ₂)

divide both side by c

[tex]f_{b}[/tex] /c =  ( 1/λ₁ - 1/λ₂)

1/λ₂ = 1/λ₁ - [tex]f_{b}[/tex] /c

λ₂ =  [1/λ₁ - [tex]f_{b}[/tex] /c ]⁻¹

so we substitute in our values

we know that speed of light c = 3 × 10⁸

so

λ₂ =  [ (1/0.0125) - (100 × 10⁶ /3 × 10⁸) ]⁻¹

λ₂ =  [80 - 0.3333 ]⁻¹

λ₂ =  [79.6667 ]⁻¹

λ₂ =  0.01255 m

λ₂ =  0.012552 × 100 cm

λ₂ =  1.2552 cm

Therefore, the longer wavelength is 1.2552 cm

A safety plug is designed to melt when the pressure inside a metal tank becomes too high. A gas
at 51.0 atm and a temperature of 23.0°C is contained in the tank, but the plug melts when the
pressure reaches 75.0 atm. What temperature did the gas reach?

Answers

The plug is 6 but u have to divert by the scale to form 5 .C

In the equation for the gravitational force between two objects, which quantity must be squared?
•mi
•m2
•G
•d

Answers

Answer:

d

Explanation:

The quantity that must be squared in the equation of gravitational force is distance d.

According to the universal gravitational law, the square of the distance between two objects is inversely proportional to the force of gravity.

Therefore, the quantity to be squared is d

The formula is given as:

  Fg  = [tex]\frac{G m_{1} m_{2} }{d^{2} }[/tex]  

So d is the quantity that must be squared

if we ignore air resistance the mass of an object does not affect the rate at which it accelerate why?​

Answers

Answer:

See explanation

Explanation:

The acceleration due to gravity on an object is independent of the mass of the object. This is so because, the acceleration due to gravity depends only on the radius of the earth and the mass of the earth.

As a result of this, all objects are accelerated to the same extent and should reach the ground at the same time when released from a height as long as other forces other than gravity are not at work.

describe measurement in our daily life​

Answers

We’re all pretty active and do a lot

If a woman walks at a speed of 5 miles/hour for 3 hours, she will have walked how many miles?

Answers

i think it would be 15, because i think you have to multiply 3x5.

i hope this helps! :)

The distance walked by the woman at the given speed an time, is 15 miles.

What is meant by speed?

The speed of an object is defined as the rate of change of the distance travelled by the object.

Here,

Speed with which the woman is walking,

v = 5 miles/hour

Time taken by the woman for walking,

t = 3 hours

We know speed is the rate of change of distance,

v = d/t  where d is the distance travelled by the woman

So, d = v x t

 d = 5 x 3

 d = 15 miles

Hence,

The distance walked by the woman at the given speed an time, is 15 miles.

To learn more about speed, click:

https://brainly.com/question/17661499

#SPJ3

Chemical messengers that stimulate a specific cellular response.
Glucose
Hormones
Mitochondria
Nerves

Answers

Answer:

Explanation:

hormones. please mark me brainliest

Hormones is the correct answer

Some giant ocean waves have a wavelength of 25 m and travel at 6.5 m/s with a frequency of 0.26 HZ. What is the period of such a wave ?

Answers

Answer:

3.85s

Explanation:

Given parameters:

Wavelength = 25m

Velocity  = 6.5m/s

Frequency  = 0.26Hz

Unknown:

Period of the wave = ?

Solution:

The period of a wave is the inverse of the frequency of the wave.

    Period  = [tex]\frac{1}{frequency}[/tex]  

  Period = [tex]\frac{1}{0.26}[/tex]   = 3.85s

A small rock is thrown vertically upward with a speed of 17.0m/s from the edge of the roof of a 26.0m tall building. The rock doesn't hit the building on its way back down and lands in the street below. Air resistance can be neglected.
Part A
What is the speed of the rock just before it hits the street?
Express your answer with the appropriate units.
Part B
How much time elapses from when the rock is thrown until it hits the street?
Express your answer with the appropriate units.

Answers

Answer:

A) v = 28.3 m/s

B) t =  4.64 s

Explanation:

A)

Assuming no other forces acting on the rock, since the accelerarion due to gravity close to the surface to the Earth can be taken as constant, we can use one of the kinematic equations in order to get first the maximum height (over the roof level) that the ball reaches:

        [tex]v_{f}^{2} - v_{o}^{2} = 2* g* \Delta h (1)[/tex]

Taking into account that at this point, the speed of the rock is just zero, this means vf=0 in (1), so replacing by the givens and solving for Δh, we get:

       [tex]\Delta h = \frac{-v_{o} ^{2}}{2*g} = \frac{-(17.0m/s)^{2} }{2*(-9.8m/s2)} = 14.8 m (2)[/tex]

So, we can use now the same equation, taking into account that the initial speed is zero (when it starts falling from the maximum height) and that the total vertical displacement is the distance between the roof level and the ground (26.0 m) plus the maximum height that we have just found in (2) , 14.8m:Δh = 26.0 m + 14. 8 m = 40.8 m (3)Replacing now in (1), we can solve for vf, as follows:

       [tex]v_{f} =\sqrt{2*g*\Delta h} = \sqrt{2*9.8m/s2*40.8m} = 28.3 m/s (4)[/tex]

B)

In order to find the total elapsed from when the rock is thrown until it hits the street, we can divide this time in two parts:1) Time elapsed from the the rock is thrown, until it reaches to its maximum height, when vf =02) Time elapsed from this point until it hits the street, with vo=0.For the first part, we can simply use the definition of acceleration (g in this case), making vf =0, as follows:

       [tex]v_{f} = v_{o} + a*\Delta t = v_{o} - g*\Delta t = 0 (5)[/tex]

Replacing by the givens in (5) and solving for Δt, we get:

       [tex]\Delta t = \frac{v_{o}}{g} = \frac{17.0m/s}{9.8m/s2} = 1.74 s (6)[/tex]

For the second part, since we know the total vertical displacement from (3), and that vo = 0 since it starts to fall, we can use the kinematic equation for displacement, as follows:

       [tex]\Delta h = \frac{1}{2} * g * t^{2} (7)[/tex]

Replacing by the givens and solving for t in (7), we get:

       [tex]t_{fall} =\sqrt{\frac{2*\Delta h}{g}} = \sqrt{\frac{2*40.8m}{9.8m/s2} } = 2.9 s (8)[/tex]

So, total time is just the sum of (6) and (8):t = 2.9 s + 1.74 s = 4.64 s

calculate the average speed of talias car during the trip

Answers

Answer:

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

No, I'm never gonna give you up

No, I'm never gonna let you down

No, I'll never run around and hurt you

Never, ever desert you

We've known each other for so long

Your heart's been aching but

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

No, I'm never gonna give you up

No, I'm never gonna let you down

No, I'll never run around and hurt you

I'll never, ever desert you

Explanation:

RICK ROLLED

Two pieces of steel wire with identical cross sections have lengths of L and 2L. The wires are each fixed at both ends and stretched so that the tension in the longer wire is four times greater than in the shorter wire. If the fundamental frequency in the shorter wire is 60 Hz, what is the frequency of the second harmonic in the longer wire?

Answers

Answer:

Explanation:

Expression for fundamental  frequency of tone produced in a wire under tension of T and length L is given as follows

[tex]f=\frac{1}{2L} \times \sqrt{\frac{T}{ m} }[/tex]

m is mass per unit length .

We shall apply this formula for given wires .

For shorter wire

[tex]60 =\frac{1}{2L} \times \sqrt{\frac{T}{ m} }[/tex]

For longer wire for second harmonic

length of wire is 2L , tension is 4T ,

[tex]f =\frac{2}{4L} \times \sqrt{\frac{4T}{ m} }[/tex]

[tex]f =\frac{2\times 2}{4L} \times \sqrt{\frac{T}{ m} }[/tex]

f = 2 x 60 = 120 Hz .

3. As the mass of an object increases, the force of gravity

Answers

Answer:

As the mass of an object increases, the force of gravity increases as well.

Explanation:

Objects with more mass have more gravity. They work together.

What is the instantaneous velocity of a freely falling object 11 s after it is released from a position of rest

Answers

Answer:

v= -107.8 m/s

Explanation:

Since the object is in free fall, this means that is moving at an accceleration equal to the one due to gravity.Since it starts at rest, we can apply the definition of acceleration, rearranging terms as follows:

       [tex]v_{f} = v_{o} + a*t = a*t = -g*t = 9.8m/s2*11s = -107.8 m/s (1)[/tex]

(Assuming as positive the upward direction)

Can someone please help meee .

Answers

Answer:                  

32 amu is the right choice because both protons and neutrons have a mass of 1 amu. Electrons have no mass so go with the last choice

I’m pretty sure it’s the last one 32amu

PLEASE HELP IM HEING TIMED

Answers

Answer:

Uh, I could be wrong but doesn’t it mean that the wave and particle are reacting together to make light? I think it’s something like that... I hope this helps!

a boy of mass 40kg sits at point 2m from the pivot of a see-saw . find the weight if a girl who can balance the see-saw by sitting at a distance of 3•2m from the pivot.( take g=10NKg)​

Answers

Answer:

The weight of the girl is 250 N

Explanation:

Static Equilibrium

Static equilibrium occurs when an object is at rest, i.e., neither rotating nor translating.

In the static rotational equilibrium, the total torque is zero with respect to any rotational axis.

The torque applied by a force F perpendicular to a displacement X with respect to a reference rotating point is:

T = F*X

The seesaw will be in rotational equilibrium if the torque applied by the boy of mass m1=40 Kg at x1=2 m from the pivot is equal to the torque applied by the girl of unknown mass m2 at x2=3.2 m from the pivot.

The force applied by both children is their weight:

[tex]F_1 = W_1 = m_1g[/tex]

[tex]F_2 = W_2 = m_2g[/tex]

It must be satisfied:

[tex]m_1gx_1=m_2gx_2[/tex]

Simplifying:

[tex]m_1x_1=m_2x_2[/tex]

Solving for m2:

[tex]\displaystyle m_2=\frac{m_1x_1}{x_2}[/tex]

[tex]\displaystyle m_2=\frac{40*2}{3.2}[/tex]

[tex]m_2=25\ kg[/tex]

Her weight is:

[tex]\mathbf{W_2=25*10 = 250\ N}[/tex]

The weight of the girl is 250 N

1. 9mA electric current is flowing through a conducting wire. Then the number of electron
passing through it in 3mimute is?
A)2x10^18
B) 1X10^18
C) 2x10^19
D) 1.01x10^19​

Answers

Answer:

use the formula negative -eE/A×t

If 478 watts of power are used in 14 seconds,how much work was done

Answers

Answer:

6692J

Explanation:

Power is defined as the rate at which work is being done.

So,

    Power  = [tex]\frac{workdone}{time }[/tex]  

  Work done  = Power x time

Given parameters:

Power  = 478watts

Time  = 14s

So;

 Work done  = 478 x 14  = 6692J

find the volume of an object with a density of 3.2 g/mL and a mass of 12 g.

Answers

The mass is 45g happy to help!

The main idea of this paragraph is:
a. Boots is my dog.
b. Boots can sit.
c. Boots is very smart.
d. Most dogs can't dance.

Answers

You didn’t upload the paragraph

An Egyptian pyramid contains approximately 1.95 million stone blocks. The average weight of each block is 2.55 tons. What is the weight of the pyramid in pounds?

Answers

Answer:

More than 2,300,000 limestone and granite blocks were pushed, pulled, and dragged into place on the Great Pyramid. The average weight of a block is about 2.3 metric tons (2.5 tons).

Find the momentum of a 500,000 kg train that is stopped on the tracks?
a. O kg m/s
b. 250,000 kg m/s
c. 500,000 kg m/s
d. 16,000,000 kg m/s

Answers

Answer:

The answer should be A) 0m/s

Explanation:

It is stopped on the train tracks therefore it is not moving.

Please tell me if I am wrong because I'm not 100% sure on this. Hope it's right and that it helped you.

Other Questions
pls help, i need this in 5 mins! what do you already know about the articles of confederation/passing of the constitution A student is standing 20 feet away from the base of a tree. He looks to the top of the tree at a 50 angleof elevation. His eyes are 5 feet above the ground. Using cos 50 0.64, what is the height of the treeto the nearest foot?36 feet29 feet24 feet31 feet Derek is selecting a sock from his drawer .He chooses a sock at random and then selects a second sock at random .what is the probability that Derek selected a striped sock both times A Cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats are empty? which phrase best completes the diagram? What is the slope of the line x = 4? Find the domain and range. Graph the relation and determine whether it is a function or not {(0,0)(1,-1),(2,-4),(3,-9),(4,-16)}please help im about to fail math Why did the English Parliament pass the Navigation Acts in 1651?to create new jobs for coloniststo sell goods to foreign marketsto support Englands economyto limit shipbuilding in the colonies 13. The U.S. Supreme Court needs to fill a vacancy left when a justice died. This would requirethe president to exercise his... We [New Englanders] look upon the states, not as separated, but as united. We love to dwell on that union, and on the mutual happiness which it has so much promoted. . . . In our contemplation, Carolina and Ohio are parts of the same country. . . . We do not impose geographical limits to our patriotic feeling or regard. . . . Senator Daniel Webster, reply to Senator Robert Hayne, January 1830.In this reply, Daniel Webster is reacting to A. the inability of citizens to elect Supreme Court justicesB. an attempted nullification of a federal law by a stateC. a proposal to revise the amendment process of the U.S. ConstitutionD. the federal seizure of private land for transportation networks A. According to the graph, are John and Collin saving or spending money? a.Savingb.Spendingc.IdunnoB. How much money did each person start with?a.John 60, Collin 80b.John 80, Collin 60c.John 4, Collin 6d.Collin 6, John 4C. How many days does it take John to spend all his money?D. How many days does it take Collin to spend all his money?E. Find the solution to the above system (answer is on ordered pair):F. At what day does John and Collin have the same amount of money? DayG. On the day they they have the same amount of money, how much do they each have? _____ dollars what's the value of x 16x+9 In which of the following ways did African states, suchas the Transvaal, contribute to the emergence of aglobal economy? Artificial selection is also known as survival of the fittesttrue or false? sam counted his heart beats while resting his heart beat 220 times in 4 minutes Sam heart beat at the same rate for the 4min .complete the ratio of beats to min x32=10 help plz i need help What's a energy pyramid why do an increasing number of Americans, the same people who admire slender look so often featured in the media, exercise too little and eat too much? In three or four sentences, describe at least two reasons that an author might have for writing a story.