Answer:
1) τ = I α whereby the torque is provided by the angular acceleration
2) L = 216 Kg m² / s
Explanation:
1) Let's start with Newton's second law
F = m a
multiply by the arm or perpendicular distance
F r = m a r
if the distance is not perpendicular a way of realizing the relations using the vector product
τ = F r = F x r
the bold are vectors. The angular and linear acceleration are related
a = α r=
τ = m (α r) r
τ = (m r²) α
the inertia of the rotational motion is
I = m r²
we substitute
τ = I α
whereby the torque is provided by the angular acceleration.
As an example we have:
* a spinning disk
* a ball rotating in the air
* a pulley
2) The rotational momentum is
L = I w
the moment of inertia of a rod that through its center
I = m L²
we substitute
L = m L² w
let's calculate
L = 6 1.5 2 16
L = 216 Kg m² / s
La cantidad de movimiento angular de la varilla uniforme es 18 kilogramos-metro cuadrado por segundo.
1) La relación entre el momento de torsión ([tex]M[/tex]), una variable cinética y relacionada con la aplicación de una fuerza externa cuya línea de proyección no cruza el centro de masa del objeto, y la aceleración angular ([tex]\alpha[/tex]), una variable cinemática, es la resistencia del cuerpo a rotar, la cual es función de su masa y su geometría, representada por la variable de momento de inercia.
A continuación, presentamos tres ejemplos del concepto:
Giro de una tuerca como consecuencia del giro de una llave inglesa por la acción de una mano y un brazo.Transmisión del movimiento a través de la transmisión de una bicicleta.Cierre de una compuerta mediante una transmisión rígida por engranes y un volante.2) Asumamos que la varilla uniforme es de masa constante, con una rotación a velocidad angular constante y con un centro de rotación localizado en el centro geométrico de la varilla. La cantidad de movimiento es expresada mediante la siguiente ecuación:
[tex]L = I\cdot \omega[/tex] (1)
Donde:
[tex]L[/tex] - Cantidad de movimiento angular, en kilogramos-metro cuadrado por segundo.[tex]I[/tex] - Momento de inercia, en kilogramos-metro cuadrado.[tex]\omega[/tex] - Rapidez angular, en radianes por segundo.El momento de inercia de una varilla uniforme con centro de rotación en el centro queda expresado por la siguiente fórmula:
[tex]I = \frac{1}{12}\cdot m\cdot L^{2}[/tex] (2)
Donde:
[tex]m[/tex] - Masa de la varilla, en kilogramos.[tex]L[/tex] - Longitud de la varilla, en metros.Al aplicar (2) en (1), tenemos la expresión resultante:
[tex]L = \frac{1}{12} \cdot m\cdot L^{2}\cdot \omega[/tex] (3)
Si sabemos que [tex]m = 6\,kg[/tex], [tex]L = 1.5\,m[/tex] y [tex]\omega = 16\,\frac{rad}{s}[/tex], entonces la cantidad de movimiento angular es:
[tex]L = \frac{1}{12}\cdot (6\,kg)\cdot (1.5\,m)^{2}\cdot \left(16\,\frac{rad}{s} \right)[/tex]
[tex]L = 18\,\frac{kg\cdot m^{2}}{s}[/tex]
La cantidad de movimiento angular de la varilla uniforme es 18 kilogramos-metro cuadrado por segundo.
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An object is moving at a speed of 20 m/s and has a kinetic energy of 10,000 J. What is the mass of the object?
Answer:
m=100kg
Explanation:
E=1/2mv^2
10000=1/2m(20)^2
10000=1/2m(400)
10000=1/2m200
50=1/2m
100=m
PLZ EXPLAIN THE EQUATION AND I WILL GIVE BRAINLIST You are out and about in the country and your father sees a rock that he really wants in the yard. Now you must get the very heavy rock into the back of a truck. The truck bed is 3 feet off the ground. Your father pulls out a 5-foot plank and begins to set up a ramp. At the same time, you (who know about mechanical advantage!) have found a plank that is 8 feet long, and you show it to your father. Which plank will give you the most mechanical advantage? Calculate the MA for each plank
Answer:
The 8 foot long plank
Explanation: hope this helps :)
The space shuttle design team spent two years working with sketches and models before building the shuttle. Why were these steps important?
1.Sketches and models allowed for the design to be modified before investing huge amounts of time and money to build the actual shuttle.
2.Sketches and models allowed for many different astronauts to provide input on the design of the shuttle before investing money in the actual shuttle.
3.Sketches and models helped astronauts in their training program as they prepared for their missions.
Answer:
sketches and models helped astronauts in their training program as they prepare for their missions
A bridge is constructed above a river such that an object dropped from it will reach the river after 4.5 seconds. A precocious youth takes a small stone and throws it downwards with some negative inital velocity so that it hits the river afer only 3 seconds. With what final velocity will the thrown stone hit the water?
Answer:
Vf = 11.04 m/s
Explanation:
First, we consider free fall motion with zero initial velocity. Using 2nd equation of motion:
h = Vi t + (1/2)gt²
where,
h = height of bridge = ?
Vi = Initial Speed = 0 m/s
t = time taken = 4.5 s
g = 9.8 m/s²
Therefore,
h = (0 m/s)(4.5 s) + (1/2)(9.8 m/s²)(4.5 s)²
Therefore,
h = 99.225 m
Now, we consider the forced motion when the youth throws the ball with some negative initial energy:
Vi = - Vi
t = 3 s
h = 99.225 m
Therefore,
99.225 m = - Vi(3 s) + (1/2)(9.8 m/s²)(3 s)²
Vi = (- 99.225 m + 44.145 m)/3 s
Vi = - 18.36 m/s
Now, we use this in 1st equation of motion for final velocity:
Vf = Vi + gt
Vf = -18.36 m/s + (9.8 m/s²)(3 s)
Therefore,
Vf = 11.04 m/s
Roberto has twice the mass his sister Mary has (see above) but runs at the same velocity as Mary. Will his kinetic energy be twice as much? Show your work. What happens to Roberto’s kinetic energy when he runs twice as fast?
Answer:
yes Robert's kinetic energy will be twice as much
if Robert runs twice as fast, then his KE will be 8 times Mary's KE
Explanation:
Kinetic energy KE = [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex]
for Robert KE = [tex]\frac{1}{2}[/tex](2m)[tex]v^{2}[/tex] = m[tex]v^{2}[/tex]
for Mary KE = [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex]
If you divide Robert KE by Mary KE = m[tex]v^{2}[/tex] / [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex] = 2; yes Robert's kinetic energy will be twice as much
if Robert v is equal to 2v
for Robert KE = [tex]\frac{1}{2}[/tex](2m)[tex](2v)^{2}[/tex] = 4m[tex]v^{2}[/tex]
for Mary KE = [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex]
If you divide Robert new KE by Mary's KE = 4m[tex]v^{2}[/tex] / [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex] = 8, if Robert runs twice as fast, then his KE will be 8 times Mary's KE
Roberto has twice the mass his sister Mary has (see above) but runs at the same velocity as Mary, then his kinetic energy would be twice that of Mary, and the kinetic energy of Roberto would be 8 times when he runs twice as fast Mary.
What is mechanical energy?Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.
The kinetic energy is the body depends on the mass as well as the speed of the object and is given by the mathematical expression as follows
K.E = 1/2 × m × v²
When Roberto runs at the same speed as his sister Mary but has twice Mary's mass (see above), Roberto's kinetic energy is twice Mary's, and it is eight times higher when Roberto runs twice as quickly as Mary.
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SC.912.P.12.10
1. Which is temperature most directly
related to?
A. kinetic energy
B. mechanical energy
C. potential energy
D. thermal energy
Answer:
D
Explanation:
You can see the 1st Law thermodynamatic, that energy flow of thermo source.
A rocket ship is moving through space at 1200 m/s. The rocket ship accelerates at a rate of 4 m/s in the same direction. What is the rocket ship's speed after 200 seconds of acceleration?
Answer:
Vf = 2000 [m/s]
Explanation:
To solve this problem we must use the following equation of kinematics.
[tex]v_{f} =v_{o}+a*t\\[/tex]
where:
Vf = final velocity [m/s]
Vo = initial velocity = 1200 [m/s]
a = acceleration = 4 [m/s]
t = 200 [s]
Vf = 1200 + (4*200)
Vf = 1200 + 800
Vf = 2000 [m/s]
why is SI unit established
Explanation:
The SI was established in 1960 by the 11th General Conference on Weights and Measures (CGPM, Conférence Générale des Poids et Mesures). The CGPM is the international authority that ensures wide dissemination of the SI and modifies the SI as necessary to reflect the latest advances in science and technology.
If the starting population of 5 rabbits grows at 200% each year, how many will there be 50 years?
Answer:
Alot of god dam rabbits
Explanation:
Answer:
million rabbits becauseeverything
The electromagnetic waves used in a microwave ovens has a frequency of 2540000000 Hz. The speed of the waves is 300000000 m/s. What is their wavelength?
Answer:
The wavelength of the waves is approximately 0.12 m.
Explanation:
An electromagnetic waves are generated as a result of the interaction between electric and magnetic fields. They do not require material medium for their propagation, and travel at the same speed (i.e the speed of light).
The speed, frequency and wavelength of a wave are related by:
speed = frequency x wavelength
wavelength = [tex]\frac{speed}{frequency}[/tex]
Given: speed of the wave = 3 x [tex]10^{8}[/tex], frequency = 2.54 x [tex]10^{9}[/tex].
Thus,
wavelength = [tex]\frac{300000000}{2540000000}[/tex]
= 0.11811
≅ 0.12
wavelength ≅ 0.12 m
Therefore, the wavelength of the waves is 0.12 m.
Crushing, stirring, heating are all methods to increase the rate of ______________ a solute in a solvent.
Answer: mixing
Explanation:
What is the mass of a falling rock if it produces a force of 147 N with an acceleration of 9.8 m/s2?
Answer:
15 kgExplanation:
The mass of the object can be found by using the formula
[tex]m = \frac{f}{a} \\ [/tex]
f is the force
a is the acceleration
From the question we have
[tex]m = \frac{147}{9.8} \\ [/tex]
We have the final answer as
15 kgHope this helps you
I WILL MARK BRAINLIEST TO FIRST ANSWER IF CORRECT
In a battery (voltaic cell), in which direction does conventional current flow?
Answer:
In a discharging battery or galvanic cell (diagram at right), the anode is the negative terminal because it is where conventional current flows into the cell.
Explanation
In the lab. construct two half cells, one a zinc half cell and the other a copper half cell.
The zinc metal electrode will more readily ionise to Zn^2+ ion , then the copper metal.
This is because in the reactivity series zinc is more reactive metal.
Hence
connecting the two half cells, the zinc cell is put on the left and the copper half cell on the right.
Connect a wire and voltmeters between the electrodes, and a salt bridge between the two metal ion solutions.
Since the zinc is on the left and loses its electrons more readily the electrons flow from the electrode through the wire and voltmeter to the copper electrode. So the electrons flow from r
left to right.
The conventional eq'n is
Zn|Zn^2+||Cu^2+|Cu
The electrons move into the copper electrode combine with copper solution to form more copper metal, which deposits on the copper electrode.
In a battery (voltaic cell), conventional current flow in the direction from positive to negative.
What is Current ?Current is a flow of charges. it is denoted by i and expressed in ampere A.
Mathematically it is expressed as i = q/t, where q is the amount of charge and t is time. Current is nothing but amount of charges flown in the unit time in the electric wire. Charge is expressed in coulomb C and time in second s. hence coulomb per second (C/s) is ampere A. Charge on electron is 1.60217663 × 10⁻¹⁹ which is called as elementary charge.
There are two types of the current, Convectional current and non-conventional current.
Convectional current is the current flows from positive to negative. Non convectional current flows from negative to positive. Note that flow of electrons is from negative to positive.
Hence direction of flow of conventional current is from positive to negative.
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what is the what is the name of the new palace of Londonwhy it make kota kota kota kota
Answer:
Engraving of the city of Kota from the east by Edward Francis Finden (1791-1857) and Patrick Young Waugh (1788-1829). Plate 2 of the 'Annals and antiquities of Rajast'han or the Central and Western Rajpoot States of India' published in London in 1832.
The Rajput city of Kota in southern Rajasthan was founded in the 14th century within the borders of the state of Bundi; it became the capital of an independent princely state of the same name in the early 17th Century. During the reign of the Mughal Emperor Jahangir, Rao Ratan Singh, the ruler of Bundi, gave the small principality of Kota to his son, Madho Singh. The Kota fort he gained possession of was built in c. 1264 by Rajkumar Jait Singh of Bundi and contains the city palace. It is situated on the bank of the River Chambal where it meets its tributary, the Shahi Dehra. This engraving shows a view of the Chambal with the ramparts and bastions of the fort rising from the rivers edge behind.
Explanation:
What does "magnitude of the vector" mean?
Answer:
Explanation:
The magnitude of a vector is the length of the vector. The magnitude of the vector a is denoted as ∥a∥. See the introduction to vectors for more about the magnitude of a vector.
Formulas for the magnitude of vectors in two and three dimensions in terms of their coordinates are derived in this page. For a two-dimensional vector a=(a1,a2), the formula for its magnitude is
∥a∥=a21+a22‾‾‾‾‾‾‾√.
For a three-dimensional vector a=(a1,a2,a3), the formula for its magnitude is
∥a∥=a21+a22+a23‾‾‾‾‾‾‾‾‾‾‾‾√.
The formula for the magnitude of a vector can be generalized to arbitrary dimensions. For example, if a=(a1,a2,a3,a4) is a four-dimensional vector, the formula for its magnitude is
∥a∥=a21+a22+a23+a24‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√.
Annie has 100 mL of honey. The honey has a mass of 145 g. What is the density of the honey?
Answer:
The answer is 1.45 g/mLExplanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\ [/tex]
From the question we have
[tex]density = \frac{145}{100} \\ [/tex]
We have the final answer as
1.45 g/mLHope this helps you
Shown here is a portion of the activity table. Based
on the table, which activity burns the least amount
of calories per hour?
doing aerobics
O jogging
walking
Answer: The answer is walking. Hope it helps anybody :)
Explanation: The answer to the second question is glycogen and lipids.
Answer:
Walking
Explanation:
Took test
Given that on the moon g = 1.6 m/s2, and on Earth g = 9.8 m/s2, if a car on the moon weighs 3.8 N, what is its mass on Earth?
Do not write units in your answer, only numbers.
Round to one decimal place.
Answer:
The weight of the car on Earth is 19.6
Explanation:
The given parameters are;
The gravitational acceleration on the moon, [tex]a_{Moon}[/tex] = 1.6 m/s²
The gravitational acceleration on Earth, g = 9.8 m/s²
The weight of the car on the moon = 3.8 N
The weight of an object = The mass of the object, m × The gravitational acceleration acting on the object, g
The weight of the car = The mass of the car × The gravitational acceleration on the moon
∴ 3.8 N = The mass of the car × 1.6
The mass of the car = 3.8/1.6 = 2 kg
The weight of the car on Earth =The mass of the car × The gravitational acceleration on Earth, g
The weight of the car on Earth = 2 × 9.8 = 19.6
The weight of the car on Earth = 19.6.
A net force applied to a 15.0 kg box produced an acceleration of 4.2 m/s2. If the same net force was applied to a 10 kg box, what would be the acceleration to the nearest tenth of a m/s2?
Answer:
[tex]6.3\ m/s^2[/tex]
Explanation:
Given that,
If the mass of a body is 15 kg and produced an 4.2 m/s², we need to find the acceleration if the mass is 10 kg and the same force is applied.
Force is given by :
F = ma
Since force is same
[tex]m_1a_1=m_2a_2\\\\a_2=\dfrac{m_1a_1}{m_2}\\\\a_2=\dfrac{15\times 4.2}{10}\\\\a=6.3\ m/s^2[/tex]
So, if the mass is 10 kg, acceleration is [tex]6.3\ m/s^2[/tex]
The depth of a circular well is 5m. water level is below 2m from the upper face of the wall. Find the pressure at its base ? (g=9.8m/ s²)
Explanation:
Given, Depth = 5mReal depth of water = 5m - 2m = 3mg = 9.8 m/s2Pressure at its base =? Now, P = h d g = 3 × 1000 × 9.8 = 29400 pascalThats all,
The pressure at its base given the data from the question is 29400 Pa
Data obtained from the questionDepth = 5 mWater level = 2 mReal depth (h) = 5 - 2 = 3 mAcceleration due to gravity (g) = 9.8 m/s²Density of water (d) = 1000 Kg/m³Pressure (P) =? How to determine the pressureThe pressure can be determined as follow
P = dgh
P = 1000 × 9.8 × 3
P = 29400 Pa
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Calculate the density of a rock that has a mass of 32 grams and a volume of
4.5 mL.
Answer:
85.2ml
Explanation:
Which arrow represents the centripetal acceleration?
Answer:
x
Explanation:
because the force on the car by gravity adds speed and acceleration.
what does terminal velocity mean ? please help
[tex] \underline{ \bf{\underline{\large{Terminal \: Velocity}}}}[/tex]
The maximum constant velocity acquired by a body while falling through a viscous medium is called it's terminal velocity. It is usually denoted by [tex] \sf V_T [/tex].It is directly proportional to the square of the radius of the body (a²) & the difference of the densities of the body and the fluid [tex] \sf (\rho - \sigma) [/tex].It is inversely proportional to the viscosity of the medium [tex] \sf (\eta) [/tex].Formula of Terminal Velocity:[tex] \boxed{ \bf{V_T = \dfrac{2}{9} \dfrac{ {a}^{2} }{ \eta} ( \rho - \sigma)g}}[/tex]What is the density of water?
gram/mL
(fill in the number)
Answer:
1.00 gram per milliliter (1 g/mL). In other words, 1 milliliter of water has a mass of 1 gram. A drop of water is 0.05 mL of water, so its mass would be 0.05 grams.
Explanation:
Lvl 2: Select the passage which best describes the motion of the student.
Answer:
Ok I don't get you....
Explanation:
????
2. If a tricycle has a kinetic energy of 360 J and a mass of 4 kg, what is its velocity?
Answer:
13.42m/s
Explanation:
0.5 multiply by 4 = 2kg
360J divided by 2kg = 180
square root 180= 13.42m/s
A marble rolls off a table from a height of 1.5 meters. Approximately how much time was the marble in the air?
O 1.1 seconds
O 0.78 seconds
O 0.55 seconds
O 0.2 seconds
Answer:
t = 0.55 s
Explanation:
Given that,
Height of the marble, h = 1.5 m
We need to find the time for which the marble is in air. Let the time is t. Using second equation of motion to find it as follows :
[tex]h=ut+\dfrac{1}{2}at^2[/tex]
Here, u = 0 and a = g
[tex]h=\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{2h}{g}} \\\\t=\sqrt{\dfrac{2\cdot1.5}{9.8}}\\\\t=0.55\ s[/tex]
So, the marble is in air for 0.55 s. Hence, the correct option is (c).
What is the speed of a
rocket that travels
8,000m in 13 seconds?
Answer:
speed of rocket=615.38m/s
Explanation:
The white cue ball is moving towards the black 8 ball with a speed of 3.6 m/s. What is the momentum of the white cue ball? (p=mv)
43
Select the correct answer.
According to the law of reflection, what is the relationship between the angle of incidence and the angle of reflection?
OA. The angle of reflection is twice the angle of incidence.
OB.
The angle of reflection is half the angle of incidence.
OC. The angle of reflection is equal to the angle of incidence.
OD. The angle of reflection is independent of the angle of incidence.
ОЕ.
The angle of reflection is always perpendicular to the angle of reflection.
Reset
Next
Answer is c, they are equal:
Explanation: