A wheel with rotational inertia I is mounted on a fixed, frictionless axle. The angular speed ω of the wheel is increased from zero to ωf in a time interval T.
What is the amount of work done by the net torque to the wheel during this time interval?
A: \(\frac{1}{2}l\omega_{f}^{2}\)
B: \(l\omega_{f} T\)
C: \(l\omega_{f} ^{2}\)
D: \(l\omega_{f} ^{2} /T\)
Answers
The wheel's average net torque over the course of interval T is Iωf/T (option-D).
Does net torque match net force?An object's rotational velocity is altered by net torque. The velocity of an object is affected by net force. When pushed, the block moves horizontally and, assuming low friction, does not rotate.
Given ,
The wheel's initial angular speed, \(w_{i}\) = 0
Final wheel angular velocity, \(w_{f}\) = \(w_{f}\)
The amount of time required to increase the wheel's angular speed t = T
The wheel's angular acceleration,
α = \(w_{f}\) - \(w_{i}\)/T
α = \(w_{f}\) - 0/T
α = \(w_{f}\)/T
Newton's Second Law of Rotation states:
The moment of inertia times the angular acceleration are equal when multiple torques are acting on a rigid body about a fixed axis.
τ = Iα
An expression for angular acceleration is:
α = (ωf - ωi) / T
α = ωf/T
As an alternative to the second law:
τ = Iωf/T.
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Related Questions
30 ml= 30 ml- 26 mL 26 mL- 22 ml -22 ml- -B 18 ml 18 ml- 14 mL 14 mL- 10 ml- 10 ml- X The mass of sample X is 20.0g. It was placed in a graduated cylinder and the water level rose from A to B. What is the density of sample X? Pay close attention to significant figures.
Answers
Answer:4.0
Explanation:
1. compare the discharge of the rio grande at albuquerque and at otowi bridge (located upstream, near santa fe)
Answers
The Rio Grande is one of the largest river systems in the United States, running over 3,000 kilometers from the mountains of Colorado to the Gulf of Mexico. The river flows from north to south and passes through several states, including Colorado, New Mexico, and Texas.
A comparison of the discharge of the Rio Grande at Albuquerque and at Otowi Bridge (located upstream, near Santa Fe) is as follows: Albuquerque: It is the largest city in New Mexico, situated in the central part of the state. The Rio Grande flows through the city, where it is dammed to form a large lake known as Elephant Butte Reservoir. The discharge of the Rio Grande at Albuquerque is around 100 cubic feet per second (cfs) during normal conditions.
This means that the river has twice the volume of water at Otowi Bridge than at Albuquerque.During times of drought, the river's discharge can drop to dangerously low levels, affecting wildlife and human communities that rely on the river for water. The river's discharge can also increase during periods of heavy rainfall or snowmelt, leading to flooding in downstream communities.
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The crests of waves passing into a harbor are 2.1 m
apart and have an amplitude of 60 cm. 12 waves
pass an observer every minute.
Answers
The speed of the wave is 0.42 m/s.
What is speed?Speed is the rate of change of distance.
To calculate the speed of the wave, we use the formula below,
Formula:
v = λf..................... Equation 1Where:
v = Speed of the waveλ = Wavelength of the wavef = Frequency of the waveFrom the question,
Given:
f = (12/60) = 0.2 Hzλ = 2.1 mSubstitute these values into equation 1
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Complete question: The crests of waves passing into a harbor are 2.1 m
apart and have an amplitude of 60 cm. 12 waves
pass an observer every minute. What is the speed of the wave.
the inside surfaces of the glass inside thermos bottles are coated with aluminum to prevent energy transfers by
Answers
Answer:
radiation heat.
Explanation:
That is any heat that passes through the air, like the sun.
Answer:
radiation
Explanation: I’m sure
pls mark as brainliest if possible
what other items did edison invent that helped make the light bulb practical?
Answers
Thomas Edison was a prolific inventor who held over 1,000 patents. In addition to the light bulb, he also invented several other items that helped make it practical. One of the most important of these was the electrical power distribution system.
Prior to Edison's invention, electricity was mainly used for telegraphy and was not widely available for general use. Edison's distribution system made it possible to deliver electricity to homes and businesses, making the light bulb a viable option for everyday use.
Edison also invented the first practical incandescent lamp, which used a carbon filament that could last for over 1,200 hours. He also developed a system of vacuum pumps that removed air from the bulb to increase its lifespan. Additionally, Edison's work on improving electrical generators and transformers made it possible to produce and distribute electricity more efficiently.
Overall, Edison's numerous inventions and improvements in electrical technology helped make the light bulb practical and paved the way for the widespread adoption of electric lighting.
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PLEASE HELP!!! A 3000 kg car is moving east at 15 m/s with
another 2200 kg car moving west at 10 m/S
If the 2 cars collide and stick together, what speed and direction will they travel?
Answers
Explanation:
m1u1+m2u2=m1v1+m2v2
(3000×15)+(2200×-10)=(3000×v)+(2200×v)
45000-22000=5200v
23000=5200v
v=230/52
v=4.423m/s to the east.
what type of figurative language is "the soft, unbroken snow seemed to advertise solidity beneath." give me two facts
Answers
Two facts:
1. A metaphor is a figure of speech that compares two unlike things without using the words "like" or "as".
2. Metaphors are used to create vivid images and help readers understand a concept more clearly.
formula sheet also shared
3 ) a) What is meant by the term angular velocity? 2 What units are used to measure it? b) Calculate the angular velocity of the daily rotation of the Earth. 2 c) 2 Calculate the linear velocity of th
Answers
The linear velocity of the earth is 0.463 km/s.
a) Angular velocity refers to the measure of the angular displacement of an object during a given time interval. It is the rate at which an object rotates around a central point or axis. Its standard unit is radians per second (rad/s). It is the measure of the number of radians through which an object rotates in one second.
b) The angular velocity of the daily rotation of the earth can be calculated as follows :Period of rotation of the earth = 24 hours = 24 x 60 x 60 seconds = 86400 seconds
The earth completes a full circle in 360 degrees, which is equal to 2π radians. Therefore, the angular displacement of the earth per day = 2π radians/day.
To find the angular velocity, divide the angular displacement by the time taken: Angular velocity = Angular displacement / Time taken= 2π radians/day / 86400 seconds= 7.27 × 10⁻⁵ radians per second (rad/s)
c) Linear velocity can be calculated using the formula,
Linear velocity (v) = r × ω
Where, r is the radius of the object and ω is the angular velocity. To find the linear velocity of the earth, we need to know its radius, which is approximately 6,371 km. Linear velocity = r × ω= 6371 km × 7.27 × 10⁻⁵ rad/s= 0.463 km/s
Therefore, the linear velocity of the earth is approximately 0.463 km/s.
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water has a density of 1.94 slug>ft3 . what is the density expressed in si units? express the answer to three significant figures
Answers
The density of water expressed in SI unit is 1000.3 kg/m³
Density is defined as the ratio of mass per unit volume.
Also it is a measurement that compares the amount of mass an object has to its volume. An object with a large amount of mass in a given volume has a high density.It is denoted by a Greek symbol 'ρ'.Mathematically, ρ = (M/V),where M is the mass of the object and V is the volume occupied by the object
It has the SI unit of kg/m³.As we know that 1 slug = 14.593 kg
So 1.94 slug = 1.94 × 14.593 kg
Also 1 ft³ = 0.0283 m³
On converting slug/ft³ to kg/m³
= (1.94 slug/ ft³) * (14.593/1 slug) * (1/0.0283 )
= 1000.3 kg/m³
Therefore the density in SI unit is 1000.3 kg/m³.
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What is the total amount of potential and kinetic energy in a system? *
1 point
A: Electrical energy
B: Heat energy
C: Mechanical energy
D: Nuclear energy
Answers
Answer:
C. Mechanical Energy
Explanation:
The total amount of mechanical energy is merely the sum of the potential energy and the kinetic energy.
Can a molecule of DNA contain 60% thymine? Why
or why not?
Answers
Answer:
The possibility of Adenine=40% and Thymine=60% is only in single stranded DNA molecule. In the question, the DNA sample referred is a single stranded DNA. If guanine=10% as guanine will always pair with cytosine, i.e.cytosine is also 10% then adenine and thymine accounts 80% as adenine will always pair with thymine.
A molecule of DNA cannot contain 60% thymine because this amount will surpass 100% in consideration of its complementary base.
DNA:DNA or deoxyribonucleic acid is a biological molecule that stores genetic information in living cells.
DNA is a double stranded molecule that consists of nucleotide bases as follows:
AdenineThymine GuanineCytosineAccording to Chargaff in his rule, the amount of adenine & thymine and guanine & cytosine in a DNA molecule is the same, which must equal 100% overall.
Therefore, if thymine is 60% in the DNA, adenine will also be 60%, which in total has already surpassed 100% without adding the other two bases.
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Help please, with #18, it’s a basketball question
Answers
Answer: D
Explanation:
Answer:
C. A lob pass.
Hope this helps!!
Either coal (C) or gas (G) can be used in the production of steel. The cost (per unit) of coal is 100 , the cost (per unit) of gas is 500 . Draw an isocost curve showing the different combinations of gas and coal that can be purchased (a) with an initial expenditure (TC) of 20000 . (b) if the expenditure (TC) increases by 50%. (c) if the gas price is reduced by 25%. (d) if the coal price rises by 20%. In answering parts (b)-(d), always start from the original isocost equation.
Answers
a) The isocost curve equation is G = (20000 - 100C)/500. b) The isocost curve equation is G = (30000 - 100c)/500. c) The isocost curve equation is G = (20000 - 100C)/375. d) The isocost curve equation is G = (20000 - 120C)/500.
To draw the isocost curve showing the different combinations of gas and coal, we need to use the cost per unit values for coal and gas, as well as the given expenditure (TC) and the changes in expenditure or prices.
Let's denote the quantity of coal as C and the quantity of gas as G. The cost per unit of coal is 100, and the cost per unit of gas is 500.
(a) Initial expenditure (TC) of 20000:
To find the combinations of gas and coal that can be purchased with an initial expenditure of 20000, we can use the following isocost equation
TC = 100C + 500G
We can rearrange the equation to solve for G in terms of C
G = (TC - 100C) / 500
Now we can plot the isocost curve with TC = 20000 using the equation above.
(b) Expenditure (TC) increases by 50%
If the expenditure increases by 50%, the new expenditure (TC_new) becomes 1.5 × TC = 1.5 × 20000 = 30000.
We can use the same isocost equation as before, but with the new expenditure value:
TC_new = 100C + 500G
Rearranging the equation to solve for G
G = (TC_new - 100C) / 500
Now we can plot the isocost curve with TC_new = 30000.
(c) Gas price reduced by 25%:
If the gas price is reduced by 25%, the new cost per unit of gas (Gas_new) becomes 0.75 × 500 = 375.
We can use the original isocost equation, but with the new cost per unit value:
TC = 100C + 375G
Rearranging the equation to solve for G
G = (TC - 100C) / 375
Now we can plot the isocost curve with the reduced gas price.
(d) Coal price rises by 20%
If the coal price rises by 20%, the new cost per unit of coal (Coal_new) becomes 1.2 × 100 = 120.
We can use the original isocost equation, but with the new cost per unit value:
TC = 120C + 500G
Rearranging the equation to solve for G:
G = (TC - 120C) / 500
Now we can plot the isocost curve with the increased coal price.
By plotting these isocost curves on a graph with G on the y-axis and C on the x-axis, we can visualize the different combinations of gas and coal that can be purchased at the given expenditures or price changes.
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Max, who has a mass of 80 kg and his girlfriend, Allison, who has a mass
of 50 kg are wearing skates and are standing together on a frozen lake. If
they push apart and Max has a velocity of 0.72 m/s in the south direction,
then what is the velocity of Allison? (Neglect friction)
Answers
Answer:
I don't know but focus on that she ways less so she will have a higher velocity
What period did the first plants appear
Answers
Answer:
Ordovician
Explanation:
Answer:
Ordovician: 470 million years ago
Super Urgent Plz HELP! A swimmer has a swimming speed of 5.35 m/s in still water. When she heads directly across the river, she ends up travelling downstream at an angle of 30° (with respect to a line perpendicular to the shore). (a) What is the speed of the current? (b) What heading would the boat need to have in order to reach a point directly across the river? (c) If the stream is 15 m wide, how long would a trip directly across the river take?
Answers
Answer:
(a)3.09 m/sec (b)θ= 35.28° (c) t =3.43 sec
Explanation:
Solution
Given that:
The swimming speed of swimmer =5.35 m/s
The downstream angle = 30°
Now,
(a)we find speed of the current which is given below:
V = V swimmer + V river
Tan 30° = Vr/Vs
Thus
Vr = 5.35 * tan 30°
Vr = 5.35 * 0.5773
= 3.09 m/sec
(b)She would have velocity at direction such that she reaches across the shore
Then
Vs sin θ =Vr
sin θ = Vs/Vr
sin θ = 3.09/5.35
θ= 35.28°
Therefore, She had to make θ= 35.28° on another side of the river
(c) Thus
t = d/Vs cosθ
=15/5.35 * cos (35.28°)
t =3.43 sec
If the current in an inductor is doubled, by what factor is the stored energy multiplied?
a. 4
b. 1/4
c. 2
d. 1/2
e. 1
Answers
_______________
\(I_2=2I_1\)
\(L=\text{const}\)
_______________
\(\displaystyle \frac{W_2}{W_1}\; - \;?\)
_______________
\(\displaystyle \boldsymbol{\frac{W_2}{W_1}}=\frac{\dfrac{LI_2^2}{2} }{\dfrac{LI_1^2}{2} } =\frac{I_2^2}{I_1^2} =\bigg(\frac{I_2}{I_1} \bigg)^2=\bigg(\frac{2I_1}{I_1} \bigg)^2=2^2=\boldsymbol{4}\)
a 90 kg fullback running east with a speed of 5.00 m/s is tackled by a 95.0 kg opponent running north with a speed of 3 m/s. if the collision is perfectly inelastic, calculate the speed and direction of the players just after the tackle and determine the mechanical energy lost as results of the collision. account of the missing energy
Answers
What fraction of carbon-14 remains undecayed after 2,865 years?
Answers
Answer:
5,730 years
i literally took a test on this question yesterday, lol
Explanation:
Hopefully this helped, if not HMU and i will try my best to get u a better answer, and if u need help with anything just let me know and i got u! :)
Which would not increase the rate at which a sugar cybe dissolves?
A. reducing the amount of solvent. B. forces attract.
C. sugar decants. D. water molecules collide.
Answers
Place the follow in increasing order of impedance, which order is correct?
A. PZT, matching layer, gel, skin
B. matching layer, gel, PZT, skin
C. PZT, gel, skin, matching layer
D. skin, gel, matching layer, PZT
Answers
The correct order of increasing impedance is:
C. PZT, gel, skin, matching layer
Impedance is a measure of the opposition to the flow of sound waves in a medium. It depends on the density and speed of sound in the material. In the given options, the order of increasing impedance can be determined by considering the properties of the materials involved.
PZT (lead zirconate titanate) has a higher impedance than gel, skin, and the matching layer. PZT is a piezoelectric material commonly used in ultrasound transducers and has a higher density and speed of sound, leading to higher impedance.
Gel has a lower impedance compared to PZT but higher impedance than skin and the matching layer. Gel is used as a coupling medium between the transducer and the skin to enhance acoustic coupling and minimize impedance mismatch.
Skin has a lower impedance than both gel and the matching layer. It is the outermost layer and acts as an interface between the transducer and the biological tissue.
The matching layer has the lowest impedance among the given options. It is designed to match the impedance of the PZT to the impedance of the tissue being imaged, facilitating efficient sound transmission.
Therefore, the correct order is C.
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A doll sets on the a table 3 meters high weighing 1.5kg. What is the gravitational potential energy?
A-4.5 joules
B-19.6 joules
C-14.7 joules
D-44.1 joules
Answers
Answer:
Explanation:
A - 4.5
What is the smallest, most basic level of organization in an animal or
plant?
Answers
Answer:
hhmmmmmhmmmm hmhmmmm hmmm yeah i got nothing
Explanation:
. If someone throws a ball up on a bus moving at 15m/s and someone throws a ball up on
a stationary bus, which ball will come back down first?
a. The ball on the moving bus
b. The ball on the stationary bus
c. They will come back down at the same time
d. Not enough information
TIL
100 of 30m and a vertical distance of
Answers
Answer:
answer is going to be C
Explanation:
because no matter if the bus is moving or not moving nothing is changing the ball so there for it is C
A convex mirror of radius of curvature 1.6 m has an object placed at a distance of 1.0 m from it. Find the position of image and the magnification.
Answers
Answer:
The image is formed at 0.44 m in front of the mirror
magnification (M) = 0.44
Explanation:
Applying, mirror formular
1/f = (1/u)+(1/v).................... Equation 1
Where f = Focal length of the convex mirror, u = object distance, v = image distance.
Using the real is positive convection,
From the question,
Given: f = -1.6/2 = -0.8 m( The focal length of a convex mirror is vitual), u = 1.0 m
Substitute these values into equation 1
-1/0.8 = (1/v)+(1/1)
Solve for v
1/v = 1.25+1
1/v = 2.25
v = 1/2.25
v = 0.44 m
Hence the image is formed at 0.44 m in front of the mirror
Magnification (M) = v/u
m = 0.44/1
m = 0.44
pls help me with a and b ill mark u brainlist
Answers
Answer:
a) i) In the first image we can see that almost the whole island is covered with forest. While in the second one, we can see that near the edges of the island the amount of forest cover has ben decreased. This may be because is easier to cut the trees near the shore of the island.
ii) There are different motives to cut the trees, one may be to build constructions. People need to remove the trees in an area in order to be able to build in there. Also, the trees can be used in a lot of different ways as raw materials.
b) i) Less forest cover also means that there is a smaller habitable area for the local life (animals, insects, etc...). Then the animals need to be more "cramped", and this can affect greatly the life of them.
ii) There will be less food and fewer natural resources for the locals.
PLEASE ANSWER WILL MARK BRAINLIEST IF YOU EXPLAIN HOW YOU GOT THE ANSWER!!!!!!
I’m not sure if the answer I chose is correct or not
Answers
If there is a decrease in the angle of inclination, the acceleration would decrease accordingly.
What is the acceleration?We know that the acceleration is the change in the velocity of the object with time. Given that the mass of the pulley remains the same and the puly is being moved up the incline as we can see.
We have to also recall that we have been told that the incline is frictionless and as a result we are not going to consider the frictional force. In any case, the force that moves the pully along the incline stull depends on the angle of inclination.
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what is the weight of the pumpkin with a mass of 5kg
Answers
Answer:
11.023 lb
Explanation:
What net force is required to cause a 1600 kg car to accelerate at a rate of 4.0
m/s2?
O A. 3200 N
OB. 800 N
O C. 6400 N
O D. 400 N
Answers
Answer:
6,400
Explanation:
i made sure the other person was right and i got the same answer
A 1,160 kg satellite orbits earth with a tangential speed of 7,446 m/s. if the satellite experiences a centripetal force of 8,955 n, what is the height of the satellite above the surface of earth? recall that earth’s radius is 6.38 × 106 m and earth’s mass is 5.97 × 1024 kg. 3.71 × 1028 m 8.02 × 105 m 7.20 × 105 m 9.67 × 1028 m
Answers
The satellite is 8.02 × 10⁵ m above Earth's surface.
Let H be the height above the surface of the Earth; since we know that the satellite is rotating around the Earth due to the gravitational pull of the planet, we may assert
Procedure to solve:
F = mv²/R+H
H = mv²/F - R
H = (1160 × 7446²/8955 - 6.38 × 10⁶)
M = 8.02 × 10⁵ m
About centripetal force:
The force applied to an item that is in velocity of curved motion that is pointed toward the axis of rotation or the centre of curvature is known as a centripetal force.
The centripetal force formula is given as the product of mass (in kg) and tangential velocity (in meters per second) squared, divided by the radius (in meters) that implies that on doubling the tangential velocity, the centripetal force will be quadrupled. Mathematically it is written as:
F = mv²/r
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Answer:
8.02x 10^5 m
Explanation:
quiz