A disc with moment of inertia 1.5 kg m2 is rotating with an angular speed of 800 rev/min on a shaft. A second disc, initially at rest and with moment of inertia 5.0 kg m2,is suddenly clamped together to the same shaft.
(a) Determine magnitude of angular momentum of the first disc.
(b) Determine the common angular speed of the combination of the two discs.

Answers

Answer 1

Answer:

Explanation:

Angular momentum p = Iw

I is the moment of inertia

w is the angular velocity

a) Angular momentum of the first disc

p1 = I1w1

Given

I1 = 1.5kg/m²

w1 = 800rev/min

Convert to rad/s

1 rev = 6.283rad

1 min = 60secs

800rev/min = 800(6.283)/60

= 83.77rad/s

p1 = 1.5×83.77

p1 = 125.66kgrad/s

Hence the magnitude of angular momentum of the first disc is 125.66kgrad/s

b) according to law of conservation of momentum

I1w1+I2w2 = (I1+I2)w

w is the common angular speed

Given

11w1 = 125.66

w2 = 0rad/s

I1 = 1.5kgm²

I2 = 5kgm²

Substitute

125.66+0 = (1.5+5)w

125.66 = 6.6w

w = 125.66/6.5

w = 19.33rad/s

Since 1rad/s = 9.549tev/min

19.33rad/s = 184.6rev/min

Hence the common angular speed of the combination of the two discs is 184.6rev/min


Related Questions

A ball is thrown upwards which, which quantity remains constant among speed, kinetic energy, acceleration and velocity

Answers

Answer:

So uhh.... Acceleration means to accel or to go higher or like better. So not that one and velocity is speed too so, it has to be kinetic energy or something lke that.

Explanation:

Explain how hypothesis are related to theories

Answers

In scientific reasoning, a hypothesis is an assumption made before any research has been completed for the sake of testing. A theory on the other hand is a principle set to explain phenomena already supported by data. Not 100% certain

A hypothesis is a prediction made prior to conducting research. It is constructed in such a way that it can be tested to see if it is true. A theory is a principle developed to explain what has already been observed in data.

What is hypothesis?

A hypothesis is an explanation proposed for a phenomenon. The scientific method requires that a hypothesis be testable in order for it to be considered a scientific hypothesis.

Scientists typically base scientific hypotheses on previous observations that cannot be adequately explained by existing scientific theories.

Theories are frequently used by scientists, researchers, and psychologists to guide their research and develop hypotheses.

A theory must be supported by evidence, whereas a hypothesis guides research and aids in the collection of evidence.

A theory is a tested, well-substantiated, unifying explanation for a set of verified, proven factors in science. A theory is always supported by evidence, whereas a hypothesis is only a possible outcome that can be tested and falsified.

Thus, this way one can concluded that the hypothesis and theories are related.

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Energy is always conserved. It cannot be created or destroyed. It can,
however be transferred from on form to another. Which of the following
is true of the relationship between kinetic and potential energy? *


A: When a system loses kinetic energy, It loses potential energy


B: as kinetic energy decreases, potential energy decreases


C: When a system gains kinetic energy, it loses potential energy


D: As kinetic energy increases, potential energy increases

Answers

Answer:

the answer is C

Explanation:

hope it helped!!!

You may have noticed runaway truck lanes while driving in the mountains. These gravel-filled lanes are designed to stop trucks that have lost their brakes on mountain grades. Typically, such a lane is horizontal (if possible) and about 36.0 m36.0 m long. Think of the ground as exerting a frictional drag force on the truck. A truck enters a typical runaway lane with a speed of 50.5 mph50.5 mph ( 22.6 m/s22.6 m/s ). Use the work-energy theorem to find the minimum coefficient of kinetic friction between the truck and the lane to be able to stop the truck.

Answers

Answer:

The  coefficient of kinetic friction  [tex]\mu_k =  0.724[/tex]

Explanation:

From the question we are told that

   The  length of the lane is  [tex]l =  36.0 \  m[/tex]

    The speed of the truck is  [tex]v  =  22.6\  m/s[/tex]

     

Generally from the work-energy theorem we have that  

    [tex]\Delta KE  =   N  *  \mu_k *  l[/tex]

Here N  is the normal force acting on the truck which is mathematically represented as

     [tex]\Delta KE[/tex] is the change in kinetic energy which is mathematically represented as

        [tex]\Delta KE =  \frac{1}{2} *  m *  v^2 [/tex]

=>     [tex]\Delta KE =  0.5  *  m *  22.6^2 [/tex]

=>      [tex]\Delta KE =  255.38m  [/tex]

        [tex]  255.38m =    m *  9.8  *  \mu_k *   36.0 [/tex]

=>     [tex]  255.38  =    352.8  *  \mu_k  [/tex]

=>   [tex]\mu_k =  0.724[/tex]

 

What causes different colors to appear in the sky.

Answers

Answer:

The colors of the sunset result from a phenomenon called scattering. Molecules and small particles in the atmosphere change the direction of light rays, causing them to scatter. ... The short-wavelength blue and violet are scattered by molecules in the air much more than other colors of the spectrum.

Explanation:

Answer:

The scattering and reflection of light by dust particles.

What is the role of the brain in helping an animal interact with its environment?

Answers

Answer:

The nature of the environment and the animal's interaction with it determines much of the character of the brain.

Explanation:

In fact, most of what we would use to describe ourselves to others reflects this sort of information storage.   Much of this information is unique to the individual and hence may involve different mechanisms from those used for species-typical information storage.

what are the 3 sub particles of an atom

Answers

Answer:

Subatomic particles include electrons, the negatively charged, almost massless particles that nevertheless account for most of the size of the atom, and they include the heavier building blocks of the small but very dense nucleus of the atom, the positively charged protons and the electrically neutral neutrons.

Answer:

Neutron, Proton and Electron

Explanation:

What happens when light hits a transparent material like water or glass? What is
the phenomenon called?
HELP

Answers

The light will pass through the material.
The phenomenon where light passes through different mediums is REFRACTION
Hope this helps!

The coefficient of friction for an object sliding across a rough floor is 0.7. A 125 N horizontal force causes the object to accelerate at 1.2 m/s2 . What is the objects weight

Answers

Answer:

152 N

Explanation:

From the question,

F-F' = ma................. Equation 1

Where F = Horizontal force, F' = Frictional force, m = mass of the object, a = accleration of the object.

But,

F' = mgμ............... Equation 2

Where g = acceleration due to gravity, μ = coefficient of friction.

make m the subject of the equation

Substitute equation 2 into equation 1

F-mgμ = ma.

make m the subject of the equation

m = F/(gμ+a).............. Equation 3

Given: F = 125 N, g = 9.8 m/s², μ = 0.7, a = 1.2 m/s²

Substitute these value into equation 3

m = 125/[(9.8×0.7)+1.2)

m = 125/8.06

m = 15.51 kg.

But,

W = mg.............. Equation 4

Where W = weight of the object.

W = 15.51(9.8)

W = 152 N

A binary star system that is detected from the drop in luminosity as one star passes in front of the other is called ___________. Group of answer choices

Answers

Answer:

eclipsing binary star system

Explanation:

The eclipsing timing method is one of the indirect methods Astronomers use to detect extrasolar planets. Eclipsing binary star system is detected from the drop in luminosity as one star passes in front of the other. The orbit plane of the two stars lies so nearly in the line, when viewed from Earth.

Thus, A binary star system that is detected from the drop in luminosity as one star passes in front of the other is called eclipsing binary star system.

Which of the following is a human connective tissue?
Muscle

Skin

Blood

None of the above

Answers

blood, bone, bone marrow, cartilage, and fat.. it’s C; blood.
The answer for this question would be blood

You are sitting still at a stoplight. The light turns green and you
accelerate to 35 m/s and it takes you 3.2 sec. What is your acceleration? *

Answers

Answer:

Your accleration would be 3.2 seconds because it takes you that long to reach 35 miles per hour.

Explanation:

I really hopes this helps.

Laws of motion are important for the study of objects that are not in motion and objects in motion. Is it true or false?

Answers

Gotta be true because physics
True because objects at rest have a law too

The current in the wires of a circuit is 180.0 milliamps. If the resistance of the circuit were doubled ( with no change in voltage), then its new current would be

Answers

Answer:

I = 0.09[amp] or 90 [milliamps]

Explanation:

To solve this problem we must use ohm's law, which tells us that the voltage is equal to the product of the voltage by the current.

V = I*R

where:

V = voltage [V]

I = current [amp]

R = resistance [ohm]

Now, we replace the values of the first current into the equation

V = 180*10^-3 * R

V = 0.18*R (1)

Then we have that the resistance is doubled so we have this new equation:

V = I*(2R) (2)

The voltage remains constant therefore 1 and 2 are equals and we can obtain the current value.

V = V

0.18*R = I*2*R

I = 0.09[amp] or 90 [milliamps]

The gravitational constant G was first measured accurately by Henry Cavendish in 1798. He used an exquisitely sensitive balance to measure the force between two lead spheres whose centers were 0.27 m apart. One of the spheres had a mass of 188 kg, while the mass of the other sphere was 0.93 kg.
What was the ratio of the gravitational force between these spheres to the weight of the lighter sphere?

Answers

The gravitational force between the spheres is

[tex]F_{\rm g}=\dfrac{G(188\,\mathrm{kg})(0.93\,\mathrm{kg})}{(0.27\,\mathrm m)^2}\approx1.6\times10^{-7}\,\mathrm N[/tex]

where G = 6.674 x 10⁻¹¹ N m²/kg².

The weight of the lighter sphere is

[tex]F_{\rm w}=(0.93\,\mathrm{kg})g\approx9.1\,\mathrm N[/tex]

where g = 9.80 m/s².

The ratio between the two forces is then

[tex]\dfrac{F_{\rm g}}{F_{\rm w}}\approx1.8\times10^{-8}[/tex]

Use the drop-down menus to order the steps for writing chemical formulas.

- Identify the elements in the compound.
- Write the chemical symbols in the order shown in the name.
- Use the periodic table to find the symbols of elements in the compound.
- Use prefixes to determine the number of each type of atom in the compound.
- Use subscripts to show the number of each type of atom in the compound.

Answers

Answer:

1,3,2,4,5

Explanation:

Because I had right

Following these steps will help write chemical formulas by identifying the elements, finding their symbols, arranging them in order, and determining the appropriate prefixes representing them with subscripts.

Here is the correct order for writing chemical formulas :

1) Identify the elements in the compound.

2) Use the periodic table to find the symbols of elements in the compound.

3) Write the chemical symbols in the order shown in the name.

4) Use prefixes to determine the number of each type of atom in the compound.

5) Use subscripts to show the number of each type of atom in the compound.

Therefore, Following these steps will help you correctly write chemical formulas by identifying the elements, finding their symbols, arranging them in the correct order, determining the appropriate prefixes for the number of atoms, and representing them with subscripts.

To know more about the chemical formulas:

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g Katie(50 kg) tries the water slide at the county fair. The starting point is 10.0 m above the ground. She starts from the top of the slide at rest. Assuming zero frictional lost, how fast will Katie be traveling at the bottom

Answers

Answer:

v= 14 m/s

Explanation:

Assuming no friction losses, the total mechanical energy must be conserved.At the top of the slide, all the energy is gravitational potential energy, as she starts at rest.At the bottom of the slide, if we choose this level as our zero reference level for the gravitational potential energy, all the energy will be purely kinetic.So, we can write the following equality:[tex]\Delta K + \Delta U =0[/tex]

        ⇒ΔK = -ΔU

        ⇒ [tex](\frac{1}{2}*m*v^{2}-0) =-(0- m*g*h) = m*g*h[/tex]

Rearranging terms and simplifying we can solve for v, as follows:

       [tex]v_{f} = \sqrt{2*g*h} =\sqrt{2*9.8m/s2*10.0m} = 14 m/s[/tex]

Katie's speed at the bottom of the slide will be 14 m/s.

15) A 1720 kg car accelerates at a rate of 3.0 m/s2. How much force is the car's engine producing? (use the formula F=ma

Answers

Answer:

The answer is 5160 N

Explanation:

To find the force acting on an object given it's mass and acceleration we use the formula

Force = mass × acceleration

From the question

mass = 1720 kg

acceleration = 3.0 m/s²

We have

Force = 1720 × 3

We have the final answer as

5160 N

Hope this helps you

you describe a friend's position by including distance direction and what other term

Answers

Answer:

How would you describe where you are right now? You

might say that you are sitting one meter to the left of your

friend. You might explain that you are at home, which is two

houses north of your school.

Explanation:

Hope this helps!

SOS Physics
Projectile Simulator Lab

Answers

Answer:

i will try out give me some time to solve this

A 57 kg paratrooper falls through the air. How much force is pulling him down?

Answers

Answer:

Explanation:

Force = Mass * acceleration due to gravity.

Given

Mass of the paratrooper = 57kg

Acceleration due to gravity = 9.81m/s²

Required

Force pulling him down

Substitute unto formula;

F = 57 * 9.81

Force = 559.17 N

Hence the force pulling him down is 559.17N

The force pulling the paratrooper as he falls down is 558.6 N.

The given parameters;

mass of the paratrooper, m = 57 kgacceleration due to gravity, g = 9.8 m/s²

The force pulling the paratrooper is force of gravity and the magnitude can be determined by applying Newton's second law of motion as shown below;

F = mg

F = 57 x 9.8

F = 558.6 N

Thus, the force pulling the paratrooper as he falls down is 558.6 N.

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A car is at velocity of 20 km/h. If the car traveled 120 km in 3 hours at constant acceleration, what is its final velocity?

Answers

The velocity is dueuueue. 100

a car is moving at 2 m/s when it accelerates at 4 m/s^2 for 2 seconds. His new velocity is?

Answers

Answer:

10m/s

Explanation:

solution:

a= v-u / t

or,4= v-2 / 2

or,8= v-2

or,8+2= v

or,v = 10

A hiker walks 4.30 km east, turns 90.0º due south and walks an additional 2.48 km. What distance did the hiker travel? *
24.64 km
6.78 km
1.82 km
4.96 km

Answers

Answer:

6.78 km

Explanation:

Length of path due east  = 4.3km

Length of path south = 2.48km

Unknown:

Distance covered = ?

Solution:

The distance covered is the total length of path from start to finish. It takes cognizance of the turns and every direction moved.

Unlike displacement which only considers the net direction from start to finish, distance sums up the total path.

 So;

   Distance  = 4.3km + 2.48km = 6.78km

FIGURE 1 shows a horizontal human arm lifting a dumbbell. The forearm is
in equilibrium under the action of the weight of the dumbbell, the tension
in the tendon connected to the biceps muscle, and the force exerted on the
forearm itself. (For clarity, the point A where the tendon is attached is drawn
farther from the elbow than its actual position) Given the weight of the forearm
is 20 N and the mass of the dumbbell is 20 kg. The angle between the tension
force and the horizontal, is 80°. The length of the horizontal arm is 0.30 m.
The horizontal distance between elbow pivot and point A is 0.050 m. Find and
the vector and draw free body diagram for this case

Answers

Answer:

Explanation:

See attached file for answer.

Please help I don’t know how to do this

Answers

i am pretty sure the answer is 2

Answer:

2.2 m/s

Explanation:

formula to be used is:  a = ∆v/∆t

where:

a = 0.09 m/s²

∆t = 10 s

∆v = a*∆t

      = (0.09 m/s²)(10 s)

       = 0.9 m/s

Vivian's final speed:

= initial speed + change in speed

= 1.3 m/s + 0.9 m/s

= 2.2 m/s

5. Two buses X and Y started moving in opposite directions
from a point. After 5 minute Xcovered distance of 250mm
and y covered the distance of 300m. Calculate the relative
velocity.​

Answers

Answer:

v = 0.166 [mm/min]

Explanation:

To solve this problem we must calculate the speed of each bus by means of the following formula that relates the displacement with time.

V = displacement / time

displacement = 250 [mm]

time = 5[min] = 300 [s]

Vx = 250/300 = 0.833[mm/min]

Vy = 300/300 = 1 [mm/min]

The relative velocity is the subtraction of the velocities, since the velocities are in opposite directions.

v = (1 - 0.833) = 0.166 [mm/min]

Please help, Thanks if you do!!! :)

Answers

Answer:

The Elements are arranged from left to right and top to bottom in order of increasing atomic number, and aslo

The arrangement of the periodic table was formulated in order to give a very informative representation of the chemical elements

Convert 0.0000505 nanometers into scientific notation

Answers

The answer is 5.05x10^-5

2. When our sun expands and cools, it will turn into a.

Answers

A STARRRRRRRRRRRRRRRRRTRTRRRRR

Answer:

Red giant star

Explanation:

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