A disk of radius 25 cm spinning at a rate of 30 rpm slows to a stop over 3 seconds. What is the angular acceleration? B. How many radians did the disk turn while stopping ? C. how many revolutions? ​

Answers

Answer 1

Answer:

A. The angular acceleration of the disk is -1.047 radians per square second.

B. The disk turns 4.715 radians while stopping.

C. The disk did 0.750 revolutions while stopping.

Explanation:

A. In this case, the disk is deceleration at a constant rate. Hence, the angular acceleration experimented by the object ([tex]\alpha[/tex]), in radians per square second, can be found by means of this kinematic expression:

[tex]\alpha = \frac{\omega-\omega_{o}}{t}[/tex] (1)

Where:

[tex]\omega_{o}[/tex] - Initial angular speed, in radians per second.

[tex]\omega[/tex] - Final angular speed, in radians per second.

[tex]t[/tex] - Time, in seconds.

If we know that [tex]\omega_{o} \approx 3.142\,\frac{rad}{s}[/tex], [tex]\omega = 0\,\frac{rad}{s}[/tex] and [tex]t = 3\,s[/tex], then the angular acceleration of the disk is:

[tex]\alpha = \frac{\omega-\omega_{o}}{t}[/tex]

[tex]\alpha = -1.047\,\frac{rad}{s^{2}}[/tex]

The angular acceleration of the disk is -1.047 radians per square second.

B. The change in position of the disk ([tex]\Delta \theta[/tex]), in radians, is determined by the following kinematic formula:

[tex]\Delta \theta = \frac{\omega^{2}-\omega_{o}^{2}}{2\cdot \alpha}[/tex] (2)

If we know that [tex]\omega_{o} \approx 3.142\,\frac{rad}{s}[/tex], [tex]\omega = 0\,\frac{rad}{s}[/tex] and [tex]\alpha = -1.047\,\frac{rad}{s^{2}}[/tex], then the change in position is:

[tex]\Delta \theta = \frac{\omega^{2}-\omega_{o}^{2}}{2\cdot \alpha}[/tex]

[tex]\Delta \theta = 4.715\,rad[/tex]

The disk turns 4.715 radians while stopping.

C. A revolution equals 2π radians, then, then number of revolutions done by the disk while stopping is found by simple rule of three:

[tex]\Delta \theta = 4.715\,rad \times \frac{1\,rev}{2\pi\, rad}[/tex]

[tex]\Delta \theta = 0.750\,rev[/tex]

The disk did 0.750 revolutions while stopping.


Related Questions

31) what is the energy required to change 20g of copper, whose specific heat is 0.39j/gc,
change from 20 to 40 degrees?

Answers

Explanation:

given :

m = 20 g

sh = 0.39 J/g°C

∆T = 40-20 = 20°C

Find the Energy!

solution :

E =m. sh. ∆T

= 20 × 0.39 × 20

= 156 J

♪Answer : mass = 20g sh = 0.39j/g°c∆T = 40° - 20° = 20°

So, energy required is

Energy = mass*sh*∆T

Energy = 20g*0.39j/g°c*20°

Energy = 156joule

~Physics#1

which is an example of qualitative data?

A) the number of golfers who use callaway clubs

B) the scores of the golfers who use callaway clubs

C) the rating that the golfers give Callaway clubs

D) the number of putts per round of golfers using Callaway clubs

Answers

The answer is C)the rating that the golfers give Callaway clubs

find the current and voltage across each resistor in the given circuit.​

Answers

Answer:

R1, R4: 1.3433 VR2: 0 VR3: 6.3134 V

Explanation:

The resistor R2 is shorted out, so is not in the circuit. The remaining resistors are in a series circuit with a total resistance of ...

  R1 +R3 +R4 = 1k +4.7k +1k = 6.7k

The current is the ratio of the applied voltage to this total resistance:

  I = V/R = (9 v)/(6.7k) ≈ 1.3433 mA

The voltage across each resistor is the product of this current value and the resistance:

  R1 voltage = (1 kΩ)(1.3433 mA) = 1.3433 volts

  R2 voltage = 0

  R3 voltage = (4.7 kΩ)(1.3433 mA) = 6.3134 volts

  R4 voltage = (1 kΩ)(1.3433 mA) = 1.3433 volts

Helen is riding down a freeway on her motorcycle at 95kilometersperhour. At this speed, how far will Helen ride in 2hours?

Answers

The answer is 190kikometersperhour because of you multiply 95 times 2 it equals 190

A spring scale is used to measure the weight of various objects. When a 100 g empty glass bottle is placed on the scale, the spring stretches down 1.8 cm. How much water should be poured into the glass bottle to stretch the spring down by 2.7 cm?

A: 44 mL
B: 50 mL
C: 33 mL
D: 150 mL

Answers

The answer is B. 50ml

50 mL of water have to poured to the glass bottle of 100 g to increase the stretching of the spring from 1.8 cm to 2.7 cm.

What is spring stretching?

A spring can hang when it loads a weight. The stretching of spring is the change in length of the spring end from its initial length.  Spring balance works with the principle of Hooks law.

The stretching is made by the elasticity of the spring which make it in a wave like motion.

Given that the glass bottle with 100 g weight when loaded on the spring scale, it will stretch down to 1.8 cm. Then the weight required to make a stretch of 2.7 cm is calculated as follows:

weight required  = (100 g × 1.8 cm) /2.7 cm

                            = 150 g.

A total of 150 g is needed to stretch into 2.7 cm. Thus we have to add 50 g of water to the glass weighing 100 g . 50 g is equivalent to 50 ml, since density of water is 1 g/L.

Hence, 50 ml of water should be poured to the glass.

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Anne pushed a cart by 12 N. How far did the cart move if the work done was 9 J?​

Answers

Force=12NWork=9J

[tex]\\ \sf\longmapsto W=Fd[/tex]

[tex]\\ \sf\longmapsto d=\dfrac{W}{F}[/tex]

[tex]\\ \sf\longmapsto d=\dfrac{9}{12}=0.72m[/tex]

Answer:

Anne pushed a cart by 12 N.

● Force = 12 N

Work done is 9 J

● Work = 9 J

=> Work = Force × distance

[tex]=> distance = \frac{work}{force} [/tex]

[tex]=> distance = \frac{9}{2} [/tex]

[tex]=> distance = 0.72m[/tex]

▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Độ hấp thụ của dung dịch có độ truyền qua 30% ở bước sóng 640nm là bao nhiêu?

Answers

henwbwhehhijwjwkishdbe

Is the answer 0.055 seconds? (Only problem 13)

Answers

Answer:

98.7 seconds

Explanation:

I believe the answer is not 0.055s

Both trains have the same speed and are approaching each other.

They both have to cover 8.5km, and since they are going the same speed they need to cover half the distance each (4.25km)

So, how long will it take a train going 155km/h to travel 4.25km?

The ratio of

[tex]\frac{155km}{1hour} = \frac{4.25km}{x hours}[/tex]

There are 60 x 60 seconds in one hour (3600 seconds)

[tex]\frac{155km}{3600 seconds} = \frac{4.25km}{x seconds}[/tex]

Solve for x to get 98.7 seconds

We can do this by flipping both sides of the ratio

[tex]\frac{3600 s}{155 km} = \frac{x seconds}{4.25 km}[/tex]

Multiply both sides by 4.25km

4.25 ×  [tex]\frac{3600 s}{155 km} ={x seconds}[/tex]

Our unknown x = 98.7 seconds

Suppose that John lives on a square block that is 180 yards per side, and in the evenings, he walks with his dog around the block for a little exercise.

A) If John walks once around the block, what distance does he travel?

B) If John walks once around the block, what is his final displacement?

Answers

Answer:

It's A

Explanation:

Although I'm not sure about the second one, I'm sure the first one is A


A particular car can go from rest to 90 kmh in 10 seconds. What is its
acceleration. (Show your calculation

Answers

Answer:

Im sorry i dont know But thank you for the points

If you push on a door for 12 seconds with a force of 53 N, how much impulse
have you applied to the door?
A. 815 kg•m/s
B. 332 kg•m/s
C. 636 kg•m/s
D. 4.42 kg•m/s

Answers

Answer:

C. 636 kg•m/s

Explanation:

53(12) = 636 N•s or kg•m/s

Select the correct answer.
What does the expression “75 meters per second southeast” best describe?
A.
acceleration
B.
distance
C.
speed
D.
velocity

Answers

Answer:

my answer would be A I'm not sure about that

Answer: The answer would be D. Velocity

Explanation: Velocity is measured in meters per second.

A 500 kg airplane wing is hanging on a rope from the ceiling. What is the tension force being supplied by the rope?
a.5000
b.2500
c.250
d.500

Answers

Answer:

a. 5000 N

Explanation:

If gravity is 10 m/s² and the wing is motionless.

F = ma = 500(10) = 5000 N

the velocity of an object must include these two things ________ and _________

will give brainlest

Answers

Answer:

The velocity of an object must include these two things displacement and time.

Explanation:

Hope this helps you. Have a nice day^_^

Please mark as brainliest. It helps a lot. :)

how is th ekinetic energy of the particles




will mark brainliest

Answers

The kinetic energy of the particle is less after it changes from gas to liquid,  (Option B).

What is the kinetic energy of a particle?

The kinetic energy of a particle is the energy it possesses due to its motion. It is a scalar quantity and is dependent on the mass and speed of the particle.

The formula to calculate the kinetic energy (KE) of a particle is:

KE = ¹/₂ mv²

Where:

KE = Kinetic Energym = Mass of the particlev = Speed (velocity) of the particle

Thus, the kinetic energy of the particle is less after it changes from gas to liquid, because the speed of the particle is less in liquid phase than in gaseous phase.

Learn more about kinetic energy here: https://brainly.com/question/25959744

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!!! , ? ? ? (no silly answers please).

Answers

Answer:

hellooo

Explanation:

i think ummm

. . .

…,,,???!!! I am confused. What?

PLEASEEEEEE HELPPPPPPP MEEEEEEEE!!!!!!!!!!!!!

Answers

Answer:

[tex]2 \\ because \\ 2 - 2 = 0 \\ 5 - 5 = 0[/tex]

Is the answer 0.055 seconds? (Only problem 13)

Answers

Answer:

155÷8.5

=18.235294117647

Evaluate tan(24°).
ОА. 1.36
В. 0.45
Ос. 0.41
OD. 0.91

Answers

I think OC.0.41 is correct but im not dure plz chech it

Answer:

B. 0.45

Explanation:

You just need to plug this into a calculator.

1)How fast is a ball moving when falling from rest and hits the ground 1.70
seconds later?

Answers

The final velocity of the ball is16.66 m/s.

Given the following data:

Initial velocity, U = 0 m/s (since the ball is falling from rest). Time, t = 1.70 seconds.

We know that acceleration due to gravity (a) for a ball in free fall is equal to 9.8 meter per seconds square.

To find how fast (velocity) the ball is moving, we would use the first equation of motion:

Mathematically, the first equation of motion is calculated by using the formula;

[tex]V = U + at[/tex]

Where:

V is the final velocity. U is the initial velocity.a is the acceleration. t is the time measured in seconds.

Substituting the given parameters into the formula, we have;

[tex]V = 0 + 9.8(1.7)[/tex]

[tex]V = 9.8[/tex] × [tex]1.70[/tex]

Final velocity, V = 16.66 m/s.

Therefore, the final velocity of the ball is16.66 m/s.

Read more: https://brainly.com/question/8898885

A ball rolls with a constant acceleration of 2.5 m/s^2 for 5.0 s with an initial velocity of 5.0 m/s. Calculate the
ball's distance from the starting point at 1.0 s intervals. Make a position-time graph for the object's motion. In
your response, show what you are given, the equation that you used, any algebra/work required, a table of
data, and your graph.

Answers

The kinematics allows finding the answers for the positions of the body as a function of time and making its graph are:

       

The positions according to time are in the table In the attachment we can see a graphic representation

Given parameters

The acceleration a = 2.5 m / s² Time t = 5.0 s The initial velocity vo = 5.0 m / s

To find

The distance each Dt = 1.0 s

Kinematics studies the motion of bodies, gives relationships between the position, velocity and acceleration of bodies, let's use the relationship

          x = v₀ t + ½ a t²

Where x is the position, v or the initial velocity, at the acceleration and t is the time.

Let's substitute

           x = 5 t + ½ 2.5 t²

           x = 5 t + 1.25 t²

Let's calculate the position and write it in the table

t = 0 s       x = 0 m

t = 1 s        x = 5 1 + 1.25 1² = 6.25 m

t = 2 s       x = 5 2 + 1.25 2² = 15 m

t = 3s        x = 5 3 + 1.25 3² = 26.25 m

t = 4 s       x = 5 4 + 1.25 4² = 40 m

t = 5 s       x = 5 5 + 1.25 5² = 56.25 m

In the following table the time and positions of the body are given, these given are used for the attached graph

time (s)      position (m)

   0                  0

    1                  6.25

   2                 15

   3                 26.25

   4                 40

   5                 56.25

In conclusion, using kinematics we can find the answers for the positions of the body as a function of time and make its graph are:

       

The positions according to time are in the tableIn the attachment we can see a graphic representation

Learn more here:

https://brainly.com/question/5063616

Si la fuerza de repulsión entre dos cargas es 18 × 1013

Answers

Answer:

Explanation:

F = kQq/r²

r = √(kQq/F)

a)  r = √(8.899(10⁹)(8)(4) / 18(10¹³)) = 0.0397749... m

  r = 40 mm

b) r = √(8.899(10⁹)(12)(3) / 18(10¹³)) = 0.0421876... m

   r = 42 mm

In an electrostatic field, path 1 between points A and B is twice as long as path 2. The electrostatic work done on a negatively charged particle that moves from A to B along path 1 is W1.

How much work is done on this particle if it later goes from A to B along path 2? Express your answer in terms of W1.

W2=??​

Answers

Answer:

W2 = W1

Explanation:

work is independent of the path taken between the points.

help please this is due in an hour!!!

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

Charge on one electron :

[tex]1.602 \times 10 {}^{ - 19} \: \: coulombs[/tex]

So, charge on ball having 97 electrons is equal to :

[tex]97 \times 1.602 \times 10 {}^{ - 19} [/tex]

[tex]155.394 \times 10 {}^{ - 19} [/tex]

[tex]1.554 \times 10 {}^{ - 17} \: \: coulombs[/tex]

quá trình nào entropi của hệ không đổi

Answers

Answer:

I don speak communism. Could you answer in English?

Explanation:

the force of gravity on Mars is 3.7 m/s^2. what is the force of gravity on Earth?

Answers

The force of gravity on earth is 9.807 m/s^2

please answer me!!! asappp​

Answers

Answer:

omg this is hard

Explanation:

Yes it is lol

Which of the following statements is false about photosynthesis and cellular respiration?
O Photosynthesis uses carbon dioxide.
O Cellular respiration gives off carbon dioxide.
O Photosynthesis makes glucose.
O Both photosynthesis and cellular respiration occur in all living things.

Answers

Answer:

photosynthesis uses carbon dioxide

Explanation:

Consider the following statements:

1. Carbon dioxide, chlorophyll, and sunlight are all essential for photosynthesis.

2. Rate of photosynthesis is maximum in red light and minimum in green light.

3. Increase

concentration decreases the rate of photosynthesis.

Which of the statements given above are correct about photosynthesis?

David was driving at a velocity of 5 m/s. He accelerates to a velocity of 8 m/s in 4 seconds. What is the acceleration?

Identify the given variables and the unknown
x distance


t time


Vi initial velocity


Vf final velocity


a acceleration


F force

Answers

If David was driving at a velocity of 5 m/s and accelerates to a velocity of 8 m/s in 4 seconds, David's acceleration is 0.75 [tex]m/s^2[/tex].

Given the following data:

Initial velocity, Vi = 5 m/sFinal velocity, Vf = 8 m/sTime, t = 4 seconds.

To find David's acceleration:

Acceleration is calculated by subtracting the initial velocity from the final velocity and dividing by the time.

Mathematically, acceleration is given by the formula;

[tex]Acceleration = \frac{V_f\; - \;V_i}{t}[/tex]

Where:

Vf is the final velocity.Vi is the initial velocity.t is the time measured in seconds.

Substituting the given parameters into the formula, we have;

[tex]Acceleration = \frac{8\; - \;5}{4}\\\\Acceleration = \frac{3}{4}[/tex]

Acceleration = 0.75 [tex]m/s^2[/tex].

Therefore, the David's acceleration is 0.75 [tex]m/s^2[/tex].

Read more: https://brainly.com/question/8898885

what are adaptations needed for animals to survive on grassland?

Answers

Answer:

short teeth, short hair, camoflauge, and speed

Explanation:

Answer:

speed and awareness

Explanation:

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