A merry-go-round accelerating uniformly from rest achieves itsoperating speed of 2.5rpm in five revolution.


A) What is the magnitude of its angluar acceleration(rad/s^2)?

B) How many seconds does it take the merry-go-round to reachits operating speed?

Answers

Answer 1

Answer:

(A) The magnitude of its angular acceleration 1.09 x 10⁻³ rad/s²

(B) Time of motion 240.2 s

Explanation:

Given;

final angular speed, ωf = 2.5 RPM

angular distance, θ = 5 rev = 5 x 2π = 10π rad

initial angular speed, ωi = 0

final angular speed in rad/s;

[tex]\omega_f = \frac{2.5 \ rev}{min} \times \ \frac{2\pi}{1 \ rev} \times \ \frac{1 \min}{60 s} = 0.2618 \ rad/s \\[/tex]

(A) the magnitude of its angular acceleration(rad/s^2);

[tex]\omega_f^2 = \omega_i^2 + 2\alpha \theta\\\\(0.2618)^2 = 0 + (2\times 10\pi)\alpha\\\\0.0685 = 20\pi \alpha\\\\\alpha = \frac{0.0685}{20\pi} \\\\\alpha = 1.09\times 10^{-3} \ rad/s^2[/tex]

(B) Time of motion;

[tex]\omega_f = \omega_i + \alpha t\\\\0.2618 = 0 + 1.09\times 10^{-3} t\\\\t = \frac{0.2618}{1.09\times 10^{-3}} \\\\t = 240.2 \ s[/tex]


Related Questions

A(n) _______ is a line in which waves move that are moving together all in the same phase

Light wave
Wave front
Incident beam
Dark wave

Answers

Answer:

wave front

Explanation:

wave front is an imaginary line of a wave that joins all adjacent points that are in phase,

so that's the definition, and you apply it to the question

it obviously can't be the rest

hope you get it

please mark it brainliest

Answer:

B Wave front

Explanation:

EDG 21

The body weighing 3.5 kg moves in the horizontal plane under the action of force F. During 3 s of movement the body traverses the path 25 m. Find the value of the force F acting on the body. Friction to be neglected.

Answers

Answer:

given..

m= 3.5

t= 3

d=25

f=?

now....a...

25=1/2a×9

a=50/9

f=ma=35/10×50/9=19.4N

Explain why the following statement is either true or false: The idea that all matter consists of the elements was first introduced a few hundred years ago

Answers

So i say false because 500 years is more than a few years but i could be wrong. Because of Aristotle’s idea that al matter is made up of only four elements it was accepted for over 2000 years but only around 500 years ago did scientists start discovering all of the elements known today.

It is a true statement that the idea that all matter consists of elements was first introduced a few hundred years ago.

What is the matter?

Anything which has mass and occupies space is known as matter, mainly there are four states of matter solid liquid gas, and plasma.

These different states of matter have different characteristics according to which they vary their volume and shape.

Individuals have believed that earth, air, water, and fire are the only four elements that make up matter for roughly two thousand years.

For more than two thousand years, Aristotle's theory that all matter is composed of just four elements was accepted, but only around 500 years ago did scientists begin to find all of the elements that are currently recognized.

Beginning around five hundred years ago, scientists started learning about all of the elements that are currently recognized.

To learn more about the matter here, refer to the link;

brainly.com/question/9402776

#SPJ2

Which form of electromagnetic radiation with a relatively high amount of energy is used to sanitize lab goggles?

Answers

Answer:

Gamma radiation.

Explanation:

Electromagnetic waves are waves produced with respect to the interaction of electric field and magnetic field. They can be arranged with respect to their increasing or decreasing wavelength to form a pattern called electromagnetic spectrum.

Gamma radiation can be used for sterilization purpose due to the fact that it has a relatively high amount of energy, and do not produce any characteristic radiation.

25 POINTS please help!
What is average acceleration?
a. how fast a speed is changing over an interval of time
b. how fast velocity is changing at a specific instant in time
c. how fast a direction is changing at a specific instant
d. all of the above

Answers

Answer:

b

Explanation:

Answer: b

Explanation:

The height of a transverse waves is known as its?

Answers

Answer:

amplitude

Explanation:

amplitude of a wave is the maximum displacement of a point from its rest position.

hope you get it,

I need to find the total mechanical energy. I think the first one is correct but the second one is wrong

Answers

Answer:

di ko po alam ang sagot baka

po pang grade 9 po yan

Explanation:

sana po magets nyo po

Please Help!! This is for my Science Assignment but I dont even know how to do the last part (d; Find frictional force)

Answers

Answer:

I known this much much except c and d. Hope this helps, thank you !!

What are sum fossil fuels?
what is a fossil fuels and what is a example

Answers

Answer:

Coal, crude oil, and natural gas are all considered fossil fuels all considered fossil fuels because they were formed from the fossilized, buried remains of plants and animals that lived millions of years ago.

Explanation:

Coal, crude oil, and natural gas are all considered fossil fuels because they were formed from the fossilized, buried remains of plants and animals that lived millions of years ago. A fossil fuel is a natural fuel such as coal or gas, formed in the geological past from the remains of living organisms.

A bear scratches his claws on a big pine tree. Does the bear do work on the tree? why or why not?
(btw it has to do with physics) ITS NOT A GENERAL QUESTION.

Answers

Answer:

The bear is actually sharpening his claws. That's the only reason he scratches a tree with his claws

Explanation:

Physicists often use a different unit of energy, the electron volt, when dealing with energies at the atomic level. One electron volt, abbreviated eV, is defined as the amount of kinetic energy gained by an electron upon accelerating through a 1.0 V potential difference.

a) what is 1.0 electron volt in joules?

b) what is the speed of a proton with 5000 eV of kinetic energy?

Answers

Answer:

a)  E = 1.06 10⁻¹⁹ J,     b)   v = 9.78 10⁵ m / s

Explanation:

The physical magnitudes can be given in several units, but in general all must be reduced to the same system in a given exercise, the most used system is the international (SI)

           1 eV =q V=  1.6 10⁻¹⁹ J

let's reduce the quantities requested

a) E = 1.0 eV to Joule

           E = 1.0 eV (1.6 10⁻¹⁹ J / 1 eV)

           E = 1.06 10⁻¹⁹ J

b) the kinetic energy is given by

           K = ½ m v²

           v = [tex]\sqrt{\frac{2K}{m} }[/tex]

the mass of the proton is

          m = 1,673 10⁻²⁷ kg

let's reduce the energy to the SI system

           E = 5000 ev (1.6 10-19 J / 1 eV) = 8000 10⁻¹⁹ J

let's calculate

           v = [tex]\sqrt{ \frac{2 \ 8000 \ 10^{-19}}{1.673 \ 10^{-27} } }[/tex]

           v = [tex]\sqrt{ 95.637 \ 10^{10} }[/tex]

           v = 9.78 10⁵ m / s

A 2500-kg car is being pushed up a hill at an angle of 35 degrees. Determine the gravitational

force pulling down on the car if it is accelerating up the hill at a rate of 5 m/s/s.

Answers

Answer:

The force that pulls the car down is Wₓ = 14052.6 N and the one that pushes the car up is F = 26552.6 N

Explanation:

For this exercise we will use Newton's second law, let's set a reference system where the x axis is parallel to the plane, in the adjoint we can see the forces in the system.

           sin  35 = Wₓ / W

            cos 35 = W_y / W

            Wₓ = W sin 35

            W_y = W cos 35

            Wₓ = 2500 9.8 sin 35

             Wₓ = 14052.6 N

let's write the equations for each axis

and

Y axis  

       N-W_y = 0

       N = W_y

X axis  

       F -Wₓ = m a

       F = Wₓ + m a = mg sin 35 + m a

       F = m (a + g sin 35)

   

let's calculate

       F = 2500 (5 + 9.8 sin 35)

       F = 26552.6 N

The force that pulls the car down is Wₓ = 14052.6 N and the one that pushes the car up is F = 26552.6 N

A box weighing 2.4 x 10^2 Newton's is lifted at a constant speed to a shelf 1.2 meters high in 4.0 seconds. What power is required to lift the box

Answers

Answer:

72Watts

Explanation:

Power = Force * distance/Time

Given the following

Force = 2.4 x 10^2 = 240N

distance = 1.2m

Time = 4.0secs

Substitute

Power = 240*1.2/4

Power = 60 * 1.2

Power = 72watts

Hence the power required to lift the box is 72Watts

WHICH ROLLER COASTER CART HAS THE LEAST POTENTIAL ENERGY DUE TO GRAVITY?

Answers

Answer:

C. Car A

Explanation:

if the answer is: which roller coaster car has the greatest potential energy due to gravity brainly

Answer: Car C

Explanation:

A P E X

A negative charge of -2 C and a positive charge of 5 C are separated by 84,752 m. What is the force between the two charges?

Answers

Answer:

F = 12.52 N

Explanation:

Given that,

Charge, q₁ = -2 C

Charge, q₂ = 5 C

The distance between charges, d = 84,752 m

We need to find the force between the two charges. The force between two charges is given by :

[tex]F=k\dfrac{q_1q_2}{d^2}\\\\F=9\times 10^9\times \dfrac{2\times 5}{(84752)^2}\\F=12.52\ N[/tex]

So, the force between charges is 12.52 N.

Think about a situation at school where you or someone you know
has demonstrated grit. Describe the situation. Pls help me

Answers

Answer:

to have courage and show the strength of your character. ... A person with true grit has passion and perseverance. Goals are set and followed through.

Explanation:

for example: i had the passion and the courage to finish my school work and chores for i can go out with my friends and to get out of the house for a bit and have fun so i had the courage to finish chores from the house and do some schoolwork for i can finish ad hang out with some friends. so i had the strength to finish everything because i didn't want to be doing school work and chores any more so i had the passion to finish up quickly  

Que se debe cumplir para que la tabla permanezca en equilibrio Es un balancin con dos niños el primero m1= 45kg el segundo m2=38kg Del centro a la izquierda existe una distancia de 160 CM Hallar la distancia del centro a la derecha

Answers

formula: m1 * d1 = m2 * d2

datos:

m1= 45 kg

d1= 160 cm

m2= 38 kg

d2= x

reemplazamos datos en formula:

45kg * 160cm = 38kg * d2

El 38 pasa al otro lado de la igualdad a dividir:

(45kg * 160cm) / 38 kg = d2

Resolvemos: (kg se cancela con kg, quedando solo los cm)

7200cm / 38 = d2

Resultado:

d2 = 189.5 cm

Respuesta: La condición que se debe cumplir es que la distancia del centro al niño de la derecha sea de 189.5cm

How is the wave speed calculated?

Answers

Wave Speed = wavelength x frequency

How far must a spring with a spring constant of 64N/m be stretched to
store 0.32J of potential energy?

Answers

Answer:

0.1m

Explanation:

k = 64N/m

Ep = 0.32J

x = ?

Ep = 1/2 * kx²

make x the subject of the formula

x² = 2Ep/k

x = √(2Ep/k)

x = √(0.64/64)

x = √0.01

x = 0.1m

Why is a final score of 21-3 more likely to occur in a football

game than a score of 19-5?

Answers

The first one can consist of three touchdowns for the first team and a feild goal for the second team. The second one would consist of two touchdowns and a field goal for the first team and a field goal and a two point conversion for the second team. They are both possible but 21-3 is more likley because it dont consist of a two point conversion which is rare to happen in the first place.

Note: The touchdown points were saying that the made the kick

A boy on a bicycle drags a wagon full of newspapers at 0.800 m/s for 30.0 min using a

force of 40.0 N. How much work has the boy done?

Answers

Answer:

=57600joules

Explanation:

Given data

Velocity =0.8m/s

Time = 30*60=1800 seconds

Distance =Velocity x time

Distance =0.8*1800

Distance =1440m

Work done = force x distance

Work done =40*1440

Work done =57600joules

Hence the work Done is 57600joules

Need help ASAP
Will mark BRAINLIST and thanks only for correct answers

1.What is the correct way a cell phone call goes out?

-The phone call goes out, transmits through microwaves, then moves to the central hub. Then the signals go to the nearest tower to the receiver of the call.

-The phone call goes out, transmits through radio waves, then moves to the central hub. Then the signals go to the nearest tower to the receiver of the call.

-The phone call goes out, transmits through microwaves, then moves to the tower. Then the signals go to the nearest hub to the receiver of the call.

2.Which property of AM frequencies allow them to travel over long distances?

-high amplitude
-high energy
-constant velocity
-long wavelength

3.what types of waves do cell phones use?
-radio waves
-gamma rays
-microwaves

Answers

Answer:

1. The phone call goes out, transmits through radio waves, then moves to the central hub. Then the signals go to the nearest tower to the receiver of the call.

2. long wavelength

3. radio waves

Explanation:

1. A cell phone call is works basically as a two-way radio, consisting of a radio transmitter and a radio receiver. When you dial a call to a friend on your cell phone, your phone converts your voice into an electrical signal, which is then transmitted through radio waves. The radio waves then moves to the central hub. Then the signals go to the nearest tower. The network of cell towers then relays the radio wave to your friend’s cell phone, which converts it to an electrical signal and then back to sound again.

2. AM means amplitude modulation. In AM frequencies, sound signals are modulated by changing the amplitude or maximum height of radio waves. AM frequencies use longer wavelength radio waves than FM frequencies. Because of their longer wavelengths, AM waves reflect off a layer of the upper atmosphere called the ionosphere, and thus travel over longer distances than FM waves.

3. Cell phones use radio waves to communicate.

How are magnets used in modern technology?

Answers

Magnets are used to make a tight seal on the doors to refrigerators and freezers. They power speakers in stereos, earphones, and televisions. Magnets are used to store data in computers, and are important in scanning machines called MRIs (magnetic resonance imagers), which doctors use to look inside people's bodies.
Magnets are used in Modern Refrigerators!

Hope this helps!

A house of mass 500 kg is lifted 25 m by balloons.
Calculate the increase in gravitational potential energy, Ep.
(g = 10 N/kg)

Enter your answer as a number - NO units

Answers

Gpe = mgh
Gpe = 500*10*25
Gpe = 125000J

Pls, help with this! I'm having trouble. will give points!!

Answers

Answer:

yes

no

no

no

no

yes

Explanation:

PLS ANSWER FAST WILL GIVE BRAINLSET!!!



Calculate the missing variables using the necessary formula and rules using "FORCE"



A tractor carrying hay bales a total mass of 9 100 kg. What force is required to reach acceleration of 4 m/ s2

Answers

Answer:Hey I just wanted to tell you that Jesus LOVES YOU SO MUCH He died on the cross for all your sins so you won’t have to suffer the consequences of your sin He paid for ALL OF IT! He loves you SO FREAKING MUCH like unconditionally... all you have to do is confess with your mouth and believe in your heart that Jesus is Lord and God raised Him from the dead 3 days later you will be saved ;)))))))) He wants an intimate relationship with you all you have to do is reach out to Him I love you AND ABOVE ALL JESUS LOVES YOU

Have a blessed day;))

Explanation:

Where is most of Earth’s freshwater found?
in the ground
near the poles
in lakes and streams
in the air as water vapor

Answers

In lakes and streams

which of the following cannot be used for measurement of time

a A leaking tap

b simple pendulum

c shadow of object during the day

d blinking of eyes ​

Answers

Answer:

D. blinking ofeyea

Explanation:

not really sure

2. A car with mass 2,500 kg is travelling at 15 m/s. What is the car's kinetic energy?
a. 37,500 J
b. 563,000 J
c. 280,000 J
d. 350,000 J

Answers

Answer:

c, 280,000J

Explanation:

You should use the equation KE (Kinetic Energy) = [tex]\frac{1}{2} mv^2[/tex]

m = 2500

v = 15

KE = [tex]\frac{1}{2} * 2500 * (15)^2\\[/tex]

KE = 281250 Joules.

This is consistent with the answer B, as all of the parameters given to you are rounded to 2 significant figures so naturally, the answer should also be rounded to 2 sig figs.

KE = 280,000 J

A student drops a ball out of a helicopter flying 40.0m/s horizontally at an altitude (height) of 77.0m. Neglect drag.
How long did the ball remain in the air?
How far did the ball travel horizontally before striking the ground?

Answers

Step by step explanation :the ball remained 45 seconds
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