A metal sign for a car dealership is a thin, uniform right triangle with base length b and height h. the sign has mass m.

required:
a. what is the moment of inertia of the sign for rotation about the side of length h?
b. if m = 4.40 kg ,b = 1.30 m and h = 1.30 m , what is the kinetic energy of the sign when it is rotating about an axis along the 1.30-m side at 2.40 rev/s ?

Answers

Answer 1

(a) The moment of inertia of the sign for rotation about the side of length h is 1.24 kgm².

(b) The kinetic energy of the sign when it is rotating about an axis is 141.37 J.

Moment of inertia of the triangular sign

The moment of inertia of the sign for rotation about the side of length h is calculated as follows;

I = 2 x ¹/₃M(b/2)²

I = 2 x ¹/₃Mb² x ¹/₄

I = ¹/₆Mb²

I = ¹/₆ x 4.4 x 1.3²

I = 1.24 kgm²

Rotational kinetic energy of the ball

K.E(rot) = ¹/₂Iω²

where;

ω is angular speed = 2.4 rev/s = 2.4 x (2π rad)/s = 15.1 rad/s

K.E(rot) = ¹/₂(1.24)(15.1)²

K.E(rot) = 141.37 J

Learn more about rotational kinetic energy here: https://brainly.com/question/25803184

#SPJ1


Related Questions

Explain any two factors that affect the pressure at a point inside a liquid​

Answers

The density of the body and the height or the depth of the body since the formula of liquid pressure is density x height gravity

Answer:

The depth of that point from the surface. The density of the liquid. Acceleration due to gravity.

Mark as brainlest answer ¯\_(☯-☯)_/¯

The electromagnet in a motor must rotate consistantly in just one direction to transfor. ectrical energy into mechanical energy. What causes this rotation?

Answers

The rotation of the electric motor in one direction is because the commutator frequently reverses the direction of the current in the loop of wire.

What is an electromagnet?

An electromagnet is a device which works on the principle of electromagnetism.

Electromagnetism is the force produced due to an interaction of the electric and magnetic fields.

An example of an electromagnet is the electric motor.

In an electromagnet, the rotation of the motor in one direction is because the commutator frequently reverses the direction of the current in the loop of wire.

Learn more about electric motor at: https://brainly.com/question/1049516

#SPJ1

Electromagnet in a motor must rotate consistently in just one direction because of the movement of permanent magnet.

What causes the rotation?

A Lorentz force is generated by the current and the magnetic flux of the permanent magnet in the same direction when the movement of the permanent magnet occur.

So we can conclude that Electromagnet in a motor must rotate consistently in just one direction because of the movement of permanent magnet.

Learn more about magnet here: https://brainly.com/question/14997726

#SPJ1

In y = mx + b, the y-intercept is given by the value of m.

Answers

Answer:

False

Explanation:

In the linear equation y = mx + b, b is the y-intercept and mx is the slope.

A TXV with a ______ charge bulb, sometimes referred to as a critical charge bulb, is often called a maximum operating pressure (MOP) valve.

Answers

A TXV with a vapor charge bulb, sometimes referred to as a critical charge bulb, is often called a maximum operating pressure (MOP) valve.

What is vapor charge bulb?

Vapor charge bulb is a charge in a thermostatic expansion valve bulb that boils to a complete vapor. When this point is attained, an increase in temperature will not have any effect on pressure.

The complete evaporation of liquid take place. So, it is also called the critical charge bulb.

Thus, A TXV with a vapor charge bulb, sometimes referred to as a critical charge bulb, is often called a maximum operating pressure (MOP) valve.

Learn more about vapor charge bulb.

https://brainly.com/question/10628249

#SPJ1

Calculate the work done by a bulldozer of power 5000W in 15 seconds

Answers

[tex]\text{Work done,}~W = Pt \\\\~~~~~~~~~~~~~~~~~~~~=5000~W \times 15 ~s\\\\~~~~~~~~~~~~~~~~~~~~=75000~ J[/tex]

Answer:

75kJ

Explanation:

Formula :

Work done = Power × Time

===========================================================

Given :

⇒ Power = 5000 W = 5kW

⇒ Time = 15 seconds

=============================================================

Solving :

⇒ Work done = 5kW × 15s

⇒ Work done = 75kJ

What is conflict resolution?
A.) committing to fair play
B.) settling a dispute or disagreement
C.) working toward a common goal
D.)trying your best to win

Answers

Answer:

B) Settling a dispute or disagreement

Explanation:

A conflict is a disagreement or argument between opposing parties.

A resolution is a solution to a problem.

Knowing both these definitions, the answer choice that makes the most sense would be B) Settling a dispute or disagreement.

Hope this helps!!

A car and an SUV both hit a patch of ice while driving eastbound down the road. The 1200-kg car was moving at 5 m/s when the 2600-kg SUV hit it from behind at a speed of 12 m/s. Upon impact, the car veers off the side of the road at a speed of 10 m/s. The SUV continues forward at its new velocity. Calculate the final speed of the SUV.

Velocity: _ m/s

Answers

The final speed of the SUV given the data from the question is 9.79 m/s

Data obtained from the questionMass of car (m₁) = 1200 KgVelocity of car (v₁) = 5 m/sMass of SUV (m₂) = 2600 KgVelocity of SUV (v₂) = 12 m/sFinal velocity (v) =?

How to determine the final velocity of SUV

From conservative of linear momentum,

momentum before impart = momentum after impart

m₁v₁ + m₂v₂ = v(m₁ + m₂)

Thus, we shall determine the final velocity of the SUV by obtaining the velocity after impart. This can be obtained as follow:

v = (m₁v₁ + m₂v₂) / (m₁ + m₂)

v = [(1200 × 5) + (2600 × 12)] / (1200 + 2600)

v = [(6000 + 31200)] / 3800

v = 37200 / 3800

v = 9.79 m/s

Thus, the final velocity of the SUV is 9.79 m/s

Learn more about momentum:

brainly.com/question/250648

#SPJ1

The source of all magnetic fields is:
- moving charges
- the earth's gravity
- the aurora borealis
- solar fields

Answers

Answer:

Moving charges

Explanation:

The source of all magnetic fields is moving electric charge: whether it is current in a wire, unpaired electrons in an atomic orbital, convection currents in the earth's liquid nickle /iron core, plasma in the sun, etc. moving electric charge is the source of all magnetic fields.

Engineers are trying to improve a race car. Their goal is to increase the acceleration of the car using the same engine. Which change shows the best application of Newton’s laws of motion to achieve this goal?

increasing the inertia of the car
decreasing the reaction force
increasing the action force
decreasing the mass of the car

Answers

To increase the acceleration of the car using the same engine, the   mass of the car must be decreased.

What is Newton's first law of motion

Newton's first law of motion states that an object at rest or uniform motion in a straight line will continue in that path unless acted upon by an external force.

The first law is also called the law of inertia because it depends on the mass of the object. The greater the mass, the greater the inertia and more reluctant the object will be to move.

Thus, to increase the acceleration of the car using the same engine, the   mass of the car must be decreased.

a = F/m

Learn more about Newton's law here: https://brainly.com/question/25545050

#SPJ1

Question 9 of 25
Which term describes something that changes during an experiment?
OA Variable
OB. Vector
OC. Data
OD. Hypothesis

Answers

Answer:

C

Explanation:

Suppose x and y are distances of object and image respectively from a mirror. What shall be be the shape of the graph between 1/x and 1/y for a concave mirror ?​

Answers

Answer:

The shape of the graph would be a circle

Explanation:

Because the mirror is concave , which it's inner part will be curved.

When an atom changes by alpha decay, its atomic number

Answers

When an atom changes by alpha decay, its atomic number decreases because of the losing of proton and neutron.

What changes occur when alpha decay occur?

An alpha particles is a helium nucleus that contains 2 protons and 2 neutrons. When the alpha decay occur, the atom loses an alpha particle which causes the loss of proton and neutron thus decreases the mass number as well as atomic number occur.

So we can conclude that When an atom changes by alpha decay, its atomic number decreases because of the losing of proton and neutron.

Learn more about atom here: https://brainly.com/question/6258301

#SPJ1

An object is moving across a surface, but it does not gain or lose speed. Which best describes the object’s force?

The net force is positive.
The net force is zero.
The positive force is greater than the negative force.
The negative force is greater than the positive force.

Answers

The statement best describes the object's force is the net force is zero.

What is Net force?

When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.

An object is moving across a surface, but it does not gain or lose speed. This means that the body is moving with constant velocity. The constant velocity indicates that the acceleration is zero.
Thus, the net force is zero.

Learn more about net force.

https://brainly.com/question/18031889

#SPJ1

How will the force of friction affect a wood block being pushed over a table?

A. Friction acts in the direction of motion, speeding the block up.
B. Friction acts in the direction of motion and is included in the moving force.
C. Friction acts in the opposite direction of motion but does not affect the motion of the object.
D.Friction acts in the opposite direction of motion, slowing the block down.

Answers

Answer:

D

friction acts in the opposite direction of motion but does not affect the motion of the object

Answer:D.Friction acts in the opposite direction of motion, slowing the block down.

Explanation:

What was the acceleration of the cart with the low fan speed

Answers

The acceleration of the cart is low with the low fan speed because acceleration depends on speed.

What was the acceleration of the cart with the low fan speed?

The acceleration of the cart with the low fan speed is also lower because acceleration depends on the velocity or speed of an object. If speed is lower, the body moves very slow and the acceleration is also low and vice versa.

So we can conclude that the acceleration of the cart is low with the low fan speed because acceleration depends on speed.

Learn more about acceleration here: https://brainly.com/question/605631

#SPJ1

An Olympic sprinter completes the 100 m race in a time of 10 s. Calculate the average speed of the sprinter.

Answers

Taking into account the definition of speed, the average speed of the Olympic sprinter is 10 [tex]\frac{m}{s}[/tex].

What is speed

Speed ​​is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it.

In other words, speed can be defined as the amount of space traveled per unit of time with which a body moves and can be calculated using the expression:

[tex]speed=\frac{distancetraveled}{time}[/tex]

Average speed of the sprinter

In this case, you know:

distance traveled= 100 meterstime= 10 seconds

Replacing these values ​​in the speed definition:

[tex]speed=\frac{100 m}{10 s}[/tex]

Solving:

speed= 10 [tex]\frac{m}{s}[/tex]

In summary, the average speed of the Olympic sprinter is 10 [tex]\frac{m}{s}[/tex].

Learn more about average speed:

brainly.com/question/15273551

brainly.com/question/9834403

#SPJ1

How do I do this? I’m super confused.

Answers

From batteries, wires, and bulbs.

Explanation:

yes, correct, from the batteries, wires and bulbs. in short, from everything that is part of the circuit.

electricity is just a push on mostly already existing electrons to move along.

a battery has a surplus of electrons at the "-" pole, and an electron deficiency at the "+" pole. that creates an electromagnetic "pressure" (voltage), the surplus (ampere) squeezes into the circuit, while the deficiency pulls like a vacuum, and all that creates an electromagnetic field around the whole circuit, which moves also the existing electrons, pushing/sucking electrons at the end of the circuit "chain" into the "+" pole.

Two identically-sized metal spheres on insulating
stands are positioned as shown below. The
charge on sphere A is −4.0 × 10−6 coulomb and
the charge on sphere B is −8.0 × 10−6 coulomb.
The two spheres are touched together and then
separated. The total number of excess electrons
on sphere A after the separation is

Answers

Answer:

-6 x 10^-6  C

Explanation:

The two spheres will equilibrate to the same charge on each

 -6 x 10^-6 C

The two spheres are touched together and then separated. The total number of excess electrons on sphere A is 3.75×10¹³ electrons after the separation.

What is electric charge ?

Electric charge is the physical property of matter that experiences force when it is placed in electric field. F = qE where q is amount of charge, E = electric field and F = is force experienced by the charge. there are two types of charges, positive charge and negative charge which are generally carried by proton and electron resp. like charges repel each other and unlike charges attract each other. the flow charges is called as current. Elementary charge is amount of charge a electron is having, whose value is 1.602 x 10⁻¹⁹ C.

When the spheres touch together, they obtain equal charges. Since the spheres are same in dimension, they obtain equal charges.

Given,

q₁ = −4.0 × 10⁻⁶ C

q₂ = −8.0 × 10⁻⁶ C

q₁ + q₂ = −4.0 × 10⁻⁶ C + −8.0 × 10⁻⁶ C = -12.0 × 10⁻⁶ C

When two charged spheres touch together, they will have equal amount of charge. Means there attain equilibrium of charge.

Hence each charged sphere will have -6.0 × 10⁻⁶ C  of charge.

The number of excess electrons on both the spheres will be,

(6.0 × 10⁻⁶ C) ÷ (1.6 × 10⁻¹⁹C) = 3.75 × 10¹³

The number 1.6 × 10⁻¹⁹C is called as Elementary charge.

Hence the number of excess electrons on Sphere A is 3.75 × 10¹³.

To know more about charge ;

https://brainly.com/question/3412043

#SPJ2.

1. can a species' niche be influenced by interspecific competition?

Answers

No, a species niche cannot be influenced by interspecific competition. Details about niche can be found below.

What is a niche?

The niche of an organism in an ecosystem refers to the function within an ecological system to which an organism is especially suited.

Interspecific competition is the competition for resources between species of different organisms.

Niche of an organism is specific to that organism and this enables it avoid competition for resources in the environment.

This suggests that a species niche cannot be influenced by interspecific competition.

Learn more about niche at: https://brainly.com/question/17438524

#SPJ1

You apply a horizontal force of 25N to push a shopping cart across the parking lot at a constant velocity. a) what is the net force on the shopping cart ? b) What is the force of friction on the shopping cart ? c) What will happen to the shopping cart if you come across a wet portion of the parking lot and you continue to apply the same force ?

Answers

(a) The net force on the shopping cart is zero.

(b) The the force of friction on the shopping cart is 25 N.

(c) When same force is applied to the shopping cart on a wet surface, it will move faster.

Net force on the shopping cart

The net force on the shopping cart is calculated as follows;

F(net) = F - Ff

where;

F is the applied forceFf is the frictional force

ma = F - Ff

where;

a is acceleration of the cartm is mass of the cart

at a constant velocity, a = 0

0 = F - Ff

F(net)  = 0

F = Ff = 25 N

Net force is zero, and frictional force is equal to applied force.

On wet surface

Coefficient of kinetic friction of solid surface is greater than that of wet surface.

Since frictional force limit motion, when the frictional force is smaller, the object tends to move faster.

Thus, the cart will move faster on a wet surface due to decrease in friction.

Learn more about frictional force here: https://brainly.com/question/24386803

#SPJ1

You want to go jogging at a nearby park. your mother says a thunderstorm is five miles away. the safest thing to do in this situation is to
bring your cell phone for emergencies
find an indoor place to exercise
go jogging quickly before the storm comes
wear a poncho while jogging

Answers

Answer:

"find an indoor place to exercise"

I think that golf courses call in the golfers if there is a lightning strike within 5 miles of the golf course sensor.

please help Which graph shows the change in velocity of an object in free fall?

Answers

The graph that shows the change in velocity of an object in free fall is graph B.

What is velocity?

Velocity is the speed of a body in a specified direction.

It is also defined as the ratio of displacement and tome.

Velocity is a vector quantity.

The change in velocity of a body is known as acceleration.

The velocity of a body undergoing free fall increases by a constant value given as by the acceleration due to gravity.

The graph which depicts this change in velocity is B.

Therefore, the graph that shows the change in velocity of an object in free fall is graph B.

Learn more about velocity and free fall at: https://brainly.com/question/24520854

#SPJ1

A crane does exactly 1800 J of work to lift a steel beam from the ground. The beam is accidentally dropped and falls back to its starting position in 0.9 s. What is the mass of the beam

Answers

Answer:

Explanation:

1800x0.9=1620kg

How long does 100m long train take a cross a bridge of length 4.9 km at a speed of 50m/s

Answers

Answer:

it would take 100s for the train to crossthe bridge

A surfacing whale in an aquarium produces water wave crests every 0.40 seconds. If the water wave travels at 4.5 meters per second, the wavelength of the wave is

Answers

For a surfacing whale in an aquarium produces water wave crests every 0.40 seconds.is mathematically given as

w= 1.8m

What is the wavelength of the wave?

Generally, the equation for is mathematically given as

w=V*T

Therefore

w=V*T

w=4.5 m/s*0.40s

w= 1.8m

In conclusion,  the wavelength of the wave

w= 1.8m

Read more about wavelength

https://brainly.com/question/13533093

#SPJ1

The unit of length most suitable for measuring the thickness of a cell phone is a . The unit of length most suitable for measuring the height of a backyard tree is a?

Answers

The answers include the following:

The unit of length most suitable for measuring the thickness of a cell phone is a meter.The unit of length most suitable for measuring the height of a backyard tree is a meter.

What is Meter?

This is defined as the standard unit for measuring the length of a body and is denoted as m.

Height is a vertical type of length which is why meter was chosen as the most appropriate choice.

Read more about Meter here https://brainly.com/question/1578784

#SPJ1

A weather balloon is partially inflated with helium gas to a volume of 2.0 m³. The pressure was measured at 101 kPa and the temperature at 27 °C. What will be the new volume if the balloon is when it moves upwards to where the atmospheric pressure is 40 kPa and the temperature is at 10 °C?​

Answers

Answer:

4.7 m³

Explanation:

We'll use the gas law P1 • V1 / T1 = P2 • V2 / T2

* Givens :

P1 = 101 kPa , V1 = 2 m³ , T1 = 300.15 K , P2 = 40 kPa , T2 = 283.15 K

( We must always convert the temperature unit to Kelvin "K")

* What we want to find :

V2 = ?

* Solution :

101 × 2 / 300.15 = 40 × V2 / 283.15

V2 × 40 / 283.15 ≈ 0.67

V2 = 0.67 × 283.15 / 40

V2 ≈ 4.7 m³

A loaded freight car a with a mass of 24,000 kg moves at a constant velocity of 8 m/s on a horizontal railroad track and collides inelastically with an empty stationary car b with a mass of 8,000 kg. after the collision the cars stick to each other and moves like one object. what is the velocity of two cars after the collision?

Answers

The velocity of two cars after the collision will be 6 m/sec.The momentum of the body is given by the product of the mass and velocity of the body.

What is the law of conservation of momentum?

According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.

According to the law of conservation of momentum

Momentum before collision =Momentum after collision

[tex]\rm m_1v_1+m_2v_2=(m_1+m_2)V \\\\\ 24000 \ kg \times 8 m/sec+8000 \ kg \times 0 m/sec=(24000+8000)V\\\\ V= 6 m/sec[/tex]

Hence, the velocity of two cars after the collision will be 6 m/sec.

To learn more about the law of conservation of momentum refer;

https://brainly.com/question/1113396

#SPJ1

What mindset do you believe Einstein had while alive and what do you think the key component or constant action was for Einstein throughout his "miracle year"

Answers

Albert Einstein had a growth mindset due to innovative nature.

What mindset do you believe Einstein had?

Albert Einstein had a growth mindset because he did not give up when he face failure. He was very good in math and science but did not get into the school. The reason behind is that Einstein is different from other students. The key component or constant action was focus and devotion to work for Einstein throughout his "miracle year".

So we can conclude that Albert Einstein had a growth mindset due to innovative nature.

Learn more about miracle here: https://brainly.com/question/14170386

#SPJ1

Which best explains how the diffraction pattern observed in young’s experiment supports the wave theory of light?.

Answers

Answer: the airy pattern can only arise from wave propagation

Explanation:if particles went in straight lines through a slit, they would progate linearly and not interfere. The airy pattern arises from diffraction as waves interfere, producing peaks (constructive interference where peaks of waves from each slit coincide) and troughs (destructive interference where peaks and troughs of waves from each slit cancel out). If intensity rather than field is measured nodes occur where 0 values line up instead of troughs

Other Questions
Determine the value of Y. Solve the equation 3(2x + 2) = 3x - 15 A. X = -7 B. X = -17/3 C. X = 3 D. X = 7 Why was it important to surround Frances borders with powerful countries? PLEASE HELP!!!!! Use the claim and evidence to complete the activity.Claim: People have many voting options if they cant get to the polls on Election Day.Evidence: People can cast their ballot early or by mail.In 12 sentences, evaluate the relevance and sufficiency of the evidence in the argument above to determine if the claim is or is not convincing. please help! please do not copy and paste i have seen the other ones Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.Part A: Find the average rate of change of each section. Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. The functoin f has zeros at -3 and 4 witch graph could represent function f During her speech, yousafzai claims that the taliban is "afraid of women" (paragraph 17). what does she mean and why does she use this specific wording? A certain atom has 22 protons and 19 electrons. This atom loses an electron. The net charge on the atom is now 4+. If this same atom with 22 protons and 19 electrons were to gain 3 electrons, the net charge on the atom would be 8. A round tube weighs 30 kg. If the tube is stood on end, it pushes down on the floor with a pressure of 20 N/m. How many square inches is the end of the tube Stranger Things Fans Only Explain S4 what will happen in s4 When it comes to aggressive driving, you must acknowledge, witness, and modify your: Who wrote the second amendment to the constitution. Felipe transferred a balance of $3700 to a new credit card at the beginning ofthe year. The card offered an introductory APR of 5.9% for the first 4 monthsand a standard APR of 17.2% thereafter. If the card compounds interestmonthly, which of these expressions represents Felipe's balance at the end ofthe year? (Assume that Felipe will make no payments or new purchasesduring the year, and ignore any possible late payment fees.)OA. ($3700) (1+0 052)*(1.0172)B.(83700)(1+0059) (1+0.172)OC. ($3700)(1+0 59)*(1.0172)*0.05912OD. $3700)(1+0.059)*(1+0.172) Are there any circumstances in which the daughter cells produced should not be genetically identical? Is the ability to discriminate between two close objects. According to a 2017 Gallup survey, the percentage of individuals in the United States who are invested in the stock market by age is as shown in the following table.Age Range Percent of IndividualsInvested in Stock Market18 to 29 3130 to 49 6250 to 64 6265+ 54If 2,000 individuals 18- to 29-years-old are randomly sampled, what is the expected number of 18- to 29-year-olds who invest in the stock market in this sample? What is the standard deviation of the number of 18- to 29-year-olds who invest in the stock market? (Round your answers to two decimal places.)E(x)= = using are organic compounds made by living things What was the government unable to do under the Articles of Confederation Conditions within an ecosystem are constantly changing.What options do organisms in the ecosystem have to deal with these changes?Select all correct answers.Organisms can adapt to the changes.Organisms may change the ecosystem back to the way it was.Organisms may die as a result of the changes.Organisms can move to a new ecosystem. if the equation of a function is a rational experssion the function is a rational