The automotive dynamometer is able to simulate road conditions for an acceleration of .6 g for the loaded pickup truck with a gross weight of 5600 lb. Calculate the required moment of inertia of the dynamometer drum around its center O assuming that the drum turns freely during the acceleration phase of the test.
Answers
The required moment of inertia of the dynamometer drum around its center is \(354 lb-ft-s^2\).
We can use the formula for the moment of inertia of a solid cylinder around its center:
\(I = (1/2)MR^2\)
where M is the mass of the cylinder and R is its radius.
First, we need to find the force required to accelerate the pickup truck at 0.6 g. We can use Newton's second law, F = ma, where m is the mass of the truck and a is the acceleration:
\(F = ma = (5600 lb / 32.2 ft/s^2) × 0.6g = 1020 lb\)
Next, we need to find the torque required to produce this force on the drum. The torque is given by:
τ = FR
where F is the force and R is the radius of the drum.
Assuming that the drum turns freely during the acceleration phase, the torque required to accelerate the drum is equal and opposite to the torque required to accelerate the pickup truck. Therefore, we have:
τ = Iα = FR
where I is the moment of inertia of the drum, α is the angular acceleration of the drum, and τ is the torque.
Solving for I, we get:
\(I = (FR)/α = (FR)/(a/R) = R^2F/a\)
Substituting the values we found earlier, we get:
\(I = (12 in)^2 × (1020 lb) / (0.6 × 32.2 ft/s^2 × 1 ft) = 354 lb-ft-s^2\)
Therefore, the required moment of inertia of the dynamometer drum around its center is \(354 lb-ft-s^2\).
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Related Questions
Determine the energy conversion for the following:
a. Light bulb
b. Firework
c.flute
d. Leaf
Answers
Answer:
the answer is b.
because it will use energy and maybe its letter A.plsss pa brainliest po ako
and also youre welcomeAnswer:
a. Light bulb - electrical to light
b. Firework - chemical to light / thermal / sound
c. Flute - kinetic to sound
d. Leaf- solar to chemical
since a divergent lens cannot form a real image, how will you measure the focal length of the diverging lens?
Answers
Measuring the focal length of the diverging lens is possible by thin lens equation.
A lens thicker at its edges than at its center is called a diverging lens. It is also called a negative lens or concave lens.
The focal length for a diverging lens is negative.
The thin-lens equation gives a relationship between image i and object o distances with the focal length f as below-
\(\frac{1}{f} = \frac{1}{i}+\frac{1}{o}\)
Magnification formula is also provide a relationship between image and object distances or the heights of the image and object.
The focal length is always negative, an object in front of the lens the object distance is positive.
For virtual images, the image distance is negative.
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Since a diverging lens diverges rays that can never collide to form a true image, it is impossible to directly measure the focal length of one. The converging lens's function is to assist in creating an actual image that serves as the diverging lens' target.
A lens type known as a diverging lens diverges the rays emanating from any object. Its alternate name is concave lens. Although it looks that the rays from infinity are passing through the lens' focus, in reality they are diverging away from the main axis.This experiment aims to quantify the power and focal length of a diverging lens. Since negative or diverging lenses cannot create accurate representations of actual objects, a converging lens must be used to set up a virtual experiment for the diverging lens.
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consider the circuit shown below. what is the energy (in j) stored in each capacitor after the switch has been closed for a very long time?
Answers
Consider the given circuit shown below. What is the energy (in J) stored in each capacitor after the switch has been closed for a very long time. The given circuit is shown below.
The energy stored in each capacitor is given as follows:C1 = (1/2) * (Q1/C1)^2C2 = (1/2) * (Q2/C2)^2Initially, the capacitors are uncharged when the switch S is open. When the switch S is closed for a very long time, it is equivalent to that capacitors have been connected in parallel. So the equivalent capacitance of the parallel combination is given as:C = C1 + C2 = 4 μF + 4 μF = 8 μFThe potential difference across each capacitor is 12 V as the battery is ideal. Therefore, the charge stored in each capacitor is given by:Q = CVCharge stored in the equivalent capacitor,Q = CeqV = 8 μF × 12 V = 96 μCAs the charge stored in each capacitor is the same, the energy stored in each capacitor is the same.Now the energy stored in each capacitor is given by:C1 = (1/2) * (Q/C1)^2 = (1/2) * (48 x 10^-6 / 4 x 10^-6)^2 = 1.152 J.C2 = (1/2) * (Q/C2)^2 = (1/2) * (48 x 10^-6 / 4 x 10^-6)^2 = 1.152 J.Therefore, the energy stored in each capacitor after the switch has been closed for a very long time is 1.152 J.What is the capacitor?A capacitor is a device that stores electrical energy in an electric field by collecting electrons on one plate and donating electrons from the other plate. The plates are separated by a dielectric, which is an insulating material. Capacitors are used in a variety of applications, including power conditioning, signal processing, and radio tuning.
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Mariner 4 went farther than any other human-made object at the time and using which bright star ______ as a reference
Answers
Mariner 4, a NASA spacecraft, performed the first successful flyby of the planet Mars in 1965. During its mission, Mariner 4 used the bright star Canopus as a reference for its navigation and guidance.
Canopus, located in the constellation Carina, is one of the brightest stars in the night sky and was chosen as a reference point because of its visibility and stable position relative to the spacecraft.
By tracking the position of Canopus, Mariner 4's navigation system was able to determine its own orientation and trajectory accurately as it traveled toward Mars, allowing for successful navigation and data collection during the flyby.
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A student is playing with a pendulum. He gives the ball a push and watches the ball as it swings. After a while, the ball stops swinging.Why does the ball stop swinging?
Answers
Particles q1 = -1.21 uC, q2 = -55.0 HC, and
93 = +148 uC are in a line. Particles q1 and q2 are
separated by 0.447 m and particles q2 and q3 are
separated by 0.447 m. What is the net force on
particle q3?
Answers
The electrostatic force on Q3 by Q1 is -1.99 N and the force from Q2 is -36.2 × 10⁹ N.. Then the net electric force acting on A is 5.8 × 10⁻⁵ N.
What is Coulomb's law ?According to Coulomb's law of force, the electrostatic force between two charges separated by a distance of r is given as follows:
Fc = Ke q1 q2 /r²
where Ke = 8.9 × 10⁹ Nm²/C²
Given the charge of Q1 = -1.21 ×10⁻⁶ C
charge of Q3 = 148 ×10⁻⁶ C
distance r = 0.447 + 0.447 =0.894 m
then Fc = 8.9 × 10⁹ Nm²/C² (-1.21 ×10⁻⁶ C ) (148 ×10⁻⁶C)/(0. 894 m)² = -1.99 N
Similarly, the force on A by the charge C is calculated as follows:
distance to C = 0.447 m
charge of Q2 = -55 H C = -5500 C
Then Fc = 8.9 × 10⁹ Nm²/C² (-5500 C ) (148 ×10⁻⁶C)/(0.447 m)² = - 36.2 × 10⁹ N
The net electric force acting on Q3 = - 36.2× 10⁹ N + -1.99 N = -38.9 × 10⁹ N.
Therefore, the net electric force acting on Q3 is -38.9 × 10⁹ N.
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Uncle Fester's CD's
Congratulations, your uncle fester has just willed you his CD collection!!! Using what you know about classification, see if you can arrange these CDs into similar groups to make them easier for your customers to find. Make a list of four groups that these CDs can be classified into.
The rest of the graph looks like this but here are the CD's for group 3 and Group 4.
Group 3
The Beatles
Beyonce
Alicia Keys
Carrie Underwood
Group 4
Bach
Blake Shelton
Beach Boys
Post Malone
I am having trouble with the graph.
Answers
Answer: hey
Explanation:
What are two adaptations that telescope must make to account for
different types of light?
Answers
Answer: Reflecting telescopes focus light with a series of mirrors, while refracting telescopes use lenses.
Explanation:
when oxygen gains 2 electrons it forms a -2 charge explain why
Answers
Answer:
it forms an anion by developing 2 negative charges over it as there are 2 electrons more than the number of protons in the ion.
Explanation:
Answer:
See explanation
Explanation:
Oxygen has 6 valence electrons. To fill up the valence shell, which (when in oxygen's row) has 8 electrons, an oxygen atom wants to gain 2 electrons. Since every electron has a single negative charge, the addition of two electrons results in an oxygen ion with a charge of −2
Oxygen is in group 6 of the periodic table meaning it has 6 electrons on its outer shell so when Oxygen atom gains two electrons it results in an Oxygen Ion with a charge of -2
A beam of light has a wavelength of 420 nm. What is the frequency of that light?
Group of answer choices
1.40 E −6 hz
7.14 E 14 hz
1.26 E 11 hz
7.14 E 3 hz
Answers
The frequency of the beam of light with a wavelength of 420 nm is 7.14×10¹⁴Hertz (2nd option)
How do I determine the frequency of the beam of light?Frequency of light wave is related to wavelength and speed of the light according to the following formula:
Velocity (v) = wavelength (λ) × frequency (f)
From the question given above, the following data were obtained:
Wavelength (λ) = 420 nm = 420 × 1×10⁻⁹ = 420×10⁻⁹ metersSpeed of ligt wave (v) = 3×10⁸ m/sFrequency of light (f) =?The frequency can be obtained a as follow:
Velocity (v) = wavelength (λ) × frequency (f)
3×10⁸ = 420×10⁻⁹ × frequency of light wave
Divide both sides by 420×10⁻⁹
Frequency of light wave = 3×10⁸ / 420×10⁻⁹
Frequency of light wave = 7.14×10¹⁴Hertz
Thus, from the calculation, it is evident that the frequency is 7.14×10¹⁴Hertz (2nd option)
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A cube measures 3cm on each side has a mass of 25 grams. what it its density and relative density.
Answers
Answer:
Density= 2.78 g/cm³
Relative density=2.8
Explanation:
To calculate the density of the cube we have to use the formula ρ=mass/volume
ρ stands for density.
So now we don't have the volume of the cube and to find the volume of the cube we have to use the formula a³
3³= 9 cm³
Now plug in the values. ρ= 25 g/9 cm³
ρ= 2.78 g/cm³
To find the relative density, we have to use the formula ρsample/ρH20
The sample means the density of the substance earlier. We do not know the density of water but it is constant at 997 kg/m³.
Now we have to make the units same so you change the unit of the density of cube to kg/m³
So, 25/1000= 0.025 kg
9/100×100×100 (because cm³ which means that there should be 3 meters to change the unit and to conver cm to meter we need to divide by 100 so 9cm/100, 9cm²/100×100, 9cm³/100×100×100)
=0.000009 m³
The new density= 0.025 kg/ 0.000009 m³
= 2777.78 kg/m³
Now plug the values into the formula:
relative density= 2.777.78 kg/m³ / 997 kg/m³
=2.8
There is no unit since kg/m³ and kg/m³ cancels
Has anyone seen the large hadron collider?
Answers
Thermal energy can not be transferred or transformed into other forms of energy.
O True
False
Answers
Answer:
I believe it is false I took the test
Answer:
false
Explanation:
Bone has a Young's modulus of about 1.8 x 1010 Pa. Under compression, it can withstand a stress of about 1.51 × 108 Pa before breaking. Assume that a femur (thigh bone) is 0.5 m long, and calculate the amount of compression this bone can withstand before breaking. Answer in units of mm.
Answers
The femur can withstand a compression of about 4.1945 mm before breaking.
Compression calculations explained.We can use the formula for compressive stress to calculate the amount of compression that the femur bone can withstand before breaking:
Stress = Force / Area
where the force is the force applied to the bone and the area is the cross-sectional area of the bone.
To find the cross-sectional area of the femur bone, we can assume that it has a circular cross-section and use the formula:
Area = πr^2
where r is the radius of the cross-section.
Since the length of the femur bone is 0.5 m, we can assume that the cross-sectional area remains constant along its length.
Let's assume that the force required to break the bone is the maximum compressive stress that it can withstand, which is 1.51 × 10^8 Pa. We can rearrange the stress formula to solve for the force.
We can use the equation for strain under compression:
strain = stress / Young's modulus
where stress is the maximum stress the bone can withstand before breaking, and Young's modulus is a measure of the stiffness of the material. The strain is a measure of how much the bone compresses under stress.
To find the compression distance, we can rearrange this equation to solve for the compression distance:
compression distance = strain x original length
where the original length is the length of the bone before compression
Substituting the given values:
stress = 1.51 × 10^8 Pa
Young's modulus = 1.8 × 10^10 Pa
original length = 0.5 m
First, we can calculate the strain:
strain = stress / Young's modulus = (1.51 × 10^8 Pa) / (1.8 × 10^10 Pa) ≈ 0.008389
Next, we can calculate the compression distance:
compression distance = strain x original length = (0.008389) x (0.5 m) = 0.0041945 m
Finally, we can convert the result to millimeters:
compression distance = 0.0041945 m x (1000 mm/m) = 4.1945 mm
Therefore, the femur can withstand a compression of about 4.1945 mm before breaking using Stress = Force / Area
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what physical characteristics of the bedrock are responsible for the oldest rock remaining at the highest elevevation?
Answers
Answer:
The oldest rock being found at the highest elevation is primarily due to the geological process of mountain building or tectonic uplift.
During mountain building, tectonic plates collide, causing the land to uplift and fold. This process can bring older rock layers closer to the surface, or even expose them at the highest elevations. As the land is pushed upward, erosion occurs, causing the overlying layers to be removed, and the older rock layers to be exposed at the surface.
The physical characteristics of the bedrock that enable it to remain at the highest elevation during this process are its strength and resistance to erosion. The older rock layers are typically made up of harder and more resistant rock types, such as granite or metamorphic rocks, that are more resistant to weathering and erosion compared to younger sedimentary rocks.
As a result, the older and more resistant rock layers are able to withstand the effects of erosion and remain at the highest elevation. This is why the highest peaks of mountain ranges, such as the Himalayas or the Rocky Mountains, often consist of the oldest rock formations.
An 8.38 gram sample of water lost 870 J of heat. What is the change in temperature
Answers
Answer:
Find the mass of a sample of water if its temperature dropped 24.8 degrees Celsius when it lost 870 J of. heat. (specific heat of water is 4.18 J/g x degrees Celsius) 8.38 grams. How many degrees would the temperature of a 450 g piece of iron increase if 7600 J of.
Explanation:
suppose a star has 144 times the luminosity of the sun and 2 times the temperature of the sun. what is its radius compared to the sun?
Answers
When a star has 144 times the light and 2 times the temperature of the Sun, its radius is 1.5 times greater than the Sun's.
To solve this problem, we can use the relationship between a star's luminosity, temperature, and radius, known as the Stefan-Boltzmann Law, and the luminosity-temperature-radius relationship:
L ∝ R²\(T^4\)
where L is the luminosity, R is the radius, and T is the temperature.
Let's first compare the star's luminosity to the Sun's luminosity. The star has 144 times the luminosity of the Sun, so:
L_star = 144 L_sun
Next, let's compare the star's temperature to the Sun's temperature. The star has 2 times the temperature of the Sun, so:
T_star = 2 T_sun
Using these values, we can now set up a ratio of the star's radius to the Sun's radius:
R_star / R_sun = √((L_star / L_sun)) / ((T_star / T_sun)²)
Plugging in the values we have:
R_star / R_sun = √(144) / 2²
R_star / R_sun = 6 / 4
R_star / R_sun = 1.5
Therefore, the star's radius is 1.5 times larger than the Sun's radius.
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A 300 kg snowmobile is traveling at 30 m/s. How fast would a 200 kg snowmobile need to travel to have
the same momentum?
Answers
A 200 kg snowmobile having the same momentum will travel at 45 m/s.
What is momentum?Momentum of an object is the product of mass and speed of an object.
P = mv
where;
m is mass of the objectv is speed of the objectm₁v₁ = m₂v₂
v₂ = m₁v₁/m₂
v₂ = (300 x 30)/200
v₂ = 45 m/s
Thus, a 200 kg snowmobile having the same momentum will travel at 45 m/s.
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what is latent heat energy's definiton
Answers
What do waves transfer? Question 1 options: matter energy water particles
Answers
i really need help !!
Answers
Answer:
The generator will work only if the magnetic field associated with the turns of coil change.
here both magnet and coil are stationary with respect to each other so no electromagnetic induction would take place. so no indiced current will be produced.
the student has to introduce some mechanism either to rotate the coil or the magnet
PLS HELP ASAP I REALLY NEED HELP AND WILL GIVE BRAINLIEST <2
5. A curious physics student asked her teacher "how quickly is Earth moving through
space?" Using the concept of relative velocity, explain why this question does not have an answer.
6. Two students are having a debate about the forces acting on a stationary object.
Lawrence says that, because the object is not moving, there are no forces acting on it.
Paula says that there can still be forces acting on an object, even if it is stationary. Which student is correct, and why?
Answers
Answer:
6. Paula is correct. Think about buildings, buildings are constantly pushed by different forces like wind or gravity. The buildings aren’t moving but this doesn’t mean that they aren’t under force
Explanation:
Quả bóng 200g chuyển động với v 4m/s đập vào tường rồi bật ra ngược chiều với cùng tốc độ độ biến thiên động lượng của quả bóng là
Answers
A 1200 kg bovine accelerates uniformly from a speed of 5.0 m/s to 12.0 m/s. During this acceleration it travels 94 m. What is the magnitude of the net force acting on the bovine?
Answers
The magnitude of net force acting on the bovine is
An item is considered to be in uniform acceleration when it is moving in a straight path while accelerating at regular intervals of time. here we have to find what is the net force acting on the body.
initial speed(u)= 5.0 m/s
final speed (v)= 12.0m/s
distance travel(x)= 94m
mass (m)=1200kg, t=time period
according to force equation f=ma
we know that Δv=Δx/Δt
Δt=Δx/Δv= 94/7
here we have to find acceleration
a =u-v/Δt, a=49/94=0.52
by putting all the value in force equation f=ma= 1200* 0.52=625.53 N
WHAT IS ACEELERATION ?
Acceleration is the rate at which an object's velocity with respect to time changes. They are vector quantities, accelerations.
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which planet has a feature called the great dark spot ?
Answers
Answer:
Neptune
Explanation:
Answer:
Neptune has that feature. Hope this helped!!! ^D^
Explanation:
A 1.4 kg bicycle tire with a radius of 33 cm rotates with an angular speed of 155 rpm. Find the angular momentum(L) of the tire, assuming it can be modeled as a hoop.
Answers
The angular momentum of the tire is 0.394KGm^2/s.
To find the answer, we have to know more about the angular momentum.
How to find the angular momentum?We have the expression for angular momentum as,\(L=mvr\)
where, m is mass of th body, v is the linear velocity and r is the radius of the circular orbit.
It is given that,\(m=1.4kg\\r=33*10^{-2}m\\w=155rpm=2.58rps\)
Thus, the linear velocity will be,\(v=rw=33*10^{-2}*2.58=0.85m/s\)
Then, the angular momentum, L will be,\(L=mvr=1.4*0.85*33*10^{-2}=0.394Kgm^2/s\)
Thus, we can conclude that, the angular momentum of the tire is 0.394KGm^2/s.
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Si un movil parte del reposo logrando una aceleracion de 5 metros por segundo al cuadrado durante 8 segundos calcular la velocidad final
Answers
Answer:
Velocidad final, V = 40 m/s
Explanation:
Dados los siguientes datos;
Aceleración = 5 m/s²
Velocidad inicial = 0 m/s (ya que comienza desde el reposo)
Tiempo = 8 segundos
Para encontrar la velocidad final, usaríamos la primera ecuación de movimiento;
\( V = U + at\)
Dónde;
V es la velocidad final. U es la velocidad inicial. a es la aceleración. t es el tiempo medido en segundos.Sustituyendo en la fórmula, tenemos;
\( V = 0 + 5*8 \)
\( V = 0 + 40 \)
\( V = 40 \)
Velocidad final, V = 40 m/s
Greta took an IQ test and scored high in knowledge and vocabulary. Which of the following statements BEST describes Greta’s results?
Answers
Answer:
Greta scored high in knowledge and vocabulary on the IQ test.
Explanation:
This statement highlights Greta's strengths in knowledge and vocabulary specifically, indicating that she performed well in these areas during the test. However, it does not provide information about her overall IQ score or her performance in other cognitive domains that may have been assessed in th
In some creatures, bioluminescence transforms
energy
energy into
OA) heat; light
OB) light; heat
OC) chemical potential; light
OD) light; chemical potential
Answers
Answer:
Hey!
Your answer would be option B. Light; heat...
Explanation:
In bioluminescent organisms, the energy is transformed int light energy and less then 20% of the total energy is put into Thermal Radiation!
HOPE THIS HELPS!!
Please help. I do not know what to do
Answers
1) The heat is 10,800 J
2) The heat is 2400 J
3) The time is 100 s
What is the heating effect of current?The heating effect of current, also known as Joule heating or resistive heating, is a phenomenon where electrical energy is converted into heat when an electric current flows through a material that has resistance.
1) We know that;
H = I^2rt
H = (3)^2 * 4 * 5 * 60
H = 10,800 J
2) H = (V^2/R)t
H = (10)^2/5 * 2 * 60
H = 2400 J
3) H =(V^2/R)t
t = H/(V^2/R)
t = H * R/V^2
t = 4 * 10^3 * 10/20^2
t = 100 s
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