Circular Definition and 999 Threads

A circular economy (also referred to as "circularity") is an economic system aimed at eliminating waste and the continual use of resources. Circular systems employ reuse, sharing, repair, refurbishment, remanufacturing and recycling to create a closed-loop system, minimising the use of resource inputs and the creation of waste, pollution and carbon emissions. The circular economy aims to keep products, equipment and infrastructure in use for longer, thus improving the productivity of these resources. Waste materials and energy should become input for other processes through waste valorization: either as a component or recovered resource for another industrial process or as regenerative resources for nature (e.g., compost). This regenerative approach is in contrast to the traditional linear economy, which has a "take, make, dispose" model of production.In recent years, concepts based on (re-)cycling resources are increasingly gaining importance. The most prominent among these concepts might be the circular economy, with its comprehensive support by China and the European Union. There is also a broad range of similar concepts or schools of thought, including cradle-to-cradle laws of ecology, looped and performance economy, regenerative design, industrial ecology, biomimicry, and the blue economy. These concepts seem intuitively to be more sustainable than the current linear economic system. The reduction of resource inputs into and waste and emission leakage out of the system reduces resource depletion and environmental pollution. However, these simple assumptions are not sufficient to deal with the involved systemic complexity and disregards potential trade-offs. For example, the social dimension of sustainability seems to be only marginally addressed in many publications on the Circular Economy, and some cases require different or additional strategies, such as purchasing new, more energy-efficient equipment.

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  1. B

    Radius of a photon's circular orbit around a mass

    What is the radius of a photon's circular orbit around a mass M? My guess would be the Scharzschild radius. Is that true?
  2. andyrk

    Understanding Uniform Circular Motion: Exploring Centripetal Acceleration

    In uniform circular motion only a radial component of acceleration is present i.e centripetal acceleration. So why doesn't the particle following uniform circular motion go radially inwards due to radial acceleration?
  3. W

    Relative velocities of two particles in circular motion

    Problem: Consider two particles a and b moving in opposite directions around a circle with angular speed ## \omega ##. At ## t = 0 ## they are both at the point ## \vec{r}=\ell \hat{j} ##. Find the velocity of a relative to b if the radius of the circular path traced out by the...
  4. K

    Physics circular motion and gravity help please

    physics circular motion and gravity help please :( Homework Statement 1. a) A solid homogeneous sphere of mass M = 4.80 kg is released from rest at the top of an incline of height H=1.35 m and rolls without slipping to the bottom. The ramp is at an angle of θ = 25.7o to the horizontal...
  5. K

    Circular motion and gravity help

    Homework Statement 1. The mass of a star is 1.830×1031 kg and it performs one rotation in 37.30 days. Find its new period (in days) if the diameter suddenly shrinks to 0.850 times its present size. Assume a uniform mass distribution before and after. 2. A pulley with mass Mp and a radius...
  6. K

    Physics help, circular motion and gravity

    anything is appreciated! 1. The mass of a star is 1.830×1031 kg and it performs one rotation in 37.30 days. Find its new period (in days) if the diameter suddenly shrinks to 0.850 times its present size. Assume a uniform mass distribution before and after. 2. A pulley with mass Mp and a...
  7. K

    How Do You Calculate Motion and Forces in Physics Problems?

    physics circular motion and gravity help please :( 1. a) A solid homogeneous sphere of mass M = 4.80 kg is released from rest at the top of an incline of height H=1.35 m and rolls without slipping to the bottom. The ramp is at an angle of θ = 25.7o to the horizontal. Calculate the speed of the...
  8. Nugso

    Uniform Circular Motion

    Homework Statement An object is in uniform circular motion. As the time passes by, its mass decreases. ( It has Co2 in it, and it evaporates) What will happen to the object's velocity and angular momentum? Homework Equations F = mV²/r, L = mvr The Attempt at a Solution...
  9. A

    Uniform Circular Motion Question (Mechanics/Physics I)

    Uniform Circular Motion Question Please Help! (Mechanics/Physics I) A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in Figure P6.10. The length of the arc ABC is 200 m, and the car completes the turn in 34.0 s. (figure attached as...
  10. L

    Nonuniform Circular Motion - Find Maximum Total Acceleration

    Homework Statement A turntable is rotating at a constant angular velocity of ω = 4.0 rad/s in the direction of a clockwise fashion. There is a ten-cent coin on the turntable, at a distance of 5 cm from the axis of rotation. Consider the time interval during which the turntable is...
  11. G

    Faraday's law on circular wire

    In my examples on Faraday's law in my book, they use a drawing of a magnet approaching a circular wire. The changing magnetic flux then induces an emf on the circle of wire, which in turn causes a current to flow. I'm wondering if a current will flow in that wire without it having an element...
  12. sa1988

    Rigid body, circular motion - centripetal acceleration

    Hi all, new user here and straight in with a question to help me understand something. Not sure if I'm in the right sub-forum but oh well. Regarding circular motion and centripetal acceleration, we're given the classic example of a cyclist leaning into a corner to create a general equilibrium...
  13. A

    Direction of force acting on a body in uniform circular motion?

    Direction of force acting on a body in uniform circular motion?? Hello Sir/Ma'am I'm a a novice. I joined this forum to clear my doubts and improve my physics. Here is my question.. " We generally say, frictional force always acts in a direction, opposite to the direction of motion of a body...
  14. S

    Pigs in space and circular orbit

    Homework Statement Two particles pigs of mass ##m## and ##M## undergo uniform circular motion about each other at a separation of ##R## under the influence of an attractive force ##F##. The angular velocity is ##\omega## radians per second. Show that R = \frac{F}{\omega^2}\left( \frac{1}{m} +...
  15. B

    Centripetal force/friction on a car in circular path

    I've read so much stuff on the internet including other threads on the forum but am still confused. When a car is making a turn on a level road, WHY does the static friction point inward? From what I've learned the direction of static friction points in the direction opposing movement but the...
  16. S

    Traveling Wave on Circular Membrane

    Homework Statement Is it possible to find a solution to the wave equation on a circular membrane such that the shape remains constant, but rotates at a fixed rate in the angular direction? Homework Equations The Attempt at a Solution I've tried separating variables, and assuming...
  17. S

    Proportions in circular motion don't make sense.

    Alright, here's the problem I'm have been given: "A boy is riding a merry-go-round at a distance of 7.00 m from its center. The boy experiences a centripetal acceleration of 7.50 m/s2. What Centripetal acceleration is experienced by another person who is riding at a distance of 3.00 m from...
  18. S

    What Am I Missing About the Centroid Equation for a Circular Segment?

    Homework Statement I need to find the centroid of a circular segment. I know nothing of calculus, and this is part of an analysis for statics that goes beyond the material covered in class. Homework Equations I've seen this equation for calculating the centroid...
  19. S

    How to do circular curve fitting?

    If I was given some n(very large) points, and if I want to fit a curve circularly, I think I should go for least squares method. What is the optimal way to do it? can someone explain me clearly how to proceed using least squares method? I don't how to proceed. But I know I should do least...
  20. C

    Non-uniform circular motion formula

    I'm trying to derive the formula for the tangential acceleration of a particle undergoing circular motion a_{tan}=r\alpha using vectors in the same way you would for uniform circular motion. r is the radius and \alpha is the angular acceleration. Would it be correct to start with...
  21. Monsterboy

    Why are all the orbits elliptical and not circular?

    In high school whenever i asked questions about planets and their orbits around their star or the orbits of satellites around their planets ,i always got the answers with the terms centrifugal ,centripetal force and an example of a stone tied to a thread and how it behaves when you hold the...
  22. P

    Some general formulae for circular orbits in symmetric spacetimes

    Consider the equatorial plane of a spherically symmetric space-time. Then we can write the metric in the equatorial plane (theta=pi/2) in terms of three coordinates - [t, r, phi] ds^2 = -f(r) dt^2 + g(r) dr^2 + h(r) dphi^2 For the Schwarzschild metric we can write: f = c^2(1 -\frac{2 G...
  23. R

    What is the reason for the rainbows to be circular?

    a friend of mine asked me this question after i told her that the rainbows were a phenomenon made by the sun and the rain, and also told her, that the rainbow, in fact was a full circle, but it seems to be an arch because the other half of the rainbow is "underground" and so she asked me why it...
  24. A

    Schwarzschild/post-Newtonian circular orbital velocity

    The post-Newtonian expansion at the first post-Newtonian 1PN level under Schwarzschild conditions, a test-body in a spherically symmetric gravitational field, gives the following expression for the gravitational acceleration of the test-body: \frac{{\rm d}\bar{v}}{{\rm...
  25. B

    Maximum Velocity for Elliptical Orbit

    Homework Statement A satellite is at an altitude of 3R (R- Radius of the planet) circulating around the planet with a velocity v. In order to make its path elliptical the velocity is changed from v to βv. What should be maximum value of β such that the satellite doesn't collide with the...
  26. M

    Determining the Handedness of Circular Polarized Waves

    Homework Statement A polarized wave in the y axis, propagates in the z axis and is incident to a quarter-wave plate. Viewing the down from -z to z, the fast axis is 45deg below the x-axis. Determine the polarization of the beam immediately following the quart-wave plate. Homework...
  27. C

    Finding Apparent Weight with Uniform Circular Motion

    Homework Statement A ferris wheel with a radius of 14.0 m rotates at a constant rate, completing three revolutions in 50.0 s. What is the apparent weight of a 60.0 kg passenger when she is at the top of the wheel? Given choices: 532 N, 452 N, 562 N, 625 N, 469 N Homework Equations...
  28. D

    Period of circular orbit with in terms of varying speeds and radius.

    Homework Statement A particle of unknown mass moves in a circular orbit of radius R under the influence of a central force centred at some point inside the orbit. The minimum and maximum speeds of the particle are vmin and vmax respectively. Find the orbital period T in terms of these speeds...
  29. S

    Direction of friction in the circular motion of a car

    Homework Statement Why does friction act towards the center when a car does uniform circular motion by itself. The Attempt at a Solution I know that centripetal force is needed to move an object in a centre and so there should be a force acting towards the center in the circular...
  30. S

    Special relativity- Uniform circular motion.

    Homework Statement Imagine two clocks that both perform uniform circular motion of radius a in the x-y plane, but in opposite directions: xμ(u) ={t, a cos(ωt),±a sin(ωt), 0}. Suppose these clocks are synchronized to agree when they are coincident at x = a at t = 0. How much time elapses until...
  31. F

    Circular Motion Question: Bird's Net Vertical Force and Upward Lift Calculation

    Homework Statement A bird of mass 0.5kg dives and then pulls out of the dive by flying in a portion of a vertical circle of radius 15m. At the bottom of the arc the birds speed is 25m/s. a) What is the magnitude of the net vertical force acting on the bird? b) What is the magnitude of the...
  32. H

    General quantization of circular motion/spectrum in potential

    Homework Statement The general quantization of motion in circular orbits is obtained by combining the equation of motion ## \frac{mv^2}{r} = |\frac{dU(r)}{dr}| ## with the angular momentum quantization condition ## mvr=n\hbar ## Use this procedure to calculate the spectrum for circular...
  33. Feodalherren

    What is the speed of the lighthouse beam along the shoreline?

    Homework Statement A lighthouse is located on a small island 3km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam moving along the shoreline when it is 1km from P? Homework Equations The Attempt at a...
  34. WannabeNewton

    Sphere rolling in circular bowl

    Homework Statement This is regarding the following problem: http://s24.postimg.org/bmaa4a65h/sphere_in_bowl.png Homework Equations I will be referring to this drawing: http://s22.postimg.org/6zl9mw9zj/drawin.png The Attempt at a Solution Let me just show first how I got my answer and I'll...
  35. S

    Thin circular plate in pure bending

    Homework Statement Finding shear in terms of r My problem, is that i want t o find the shear force and if i want take a section , i need to know the reactions, but i can't find the value of reaction in terms of r I attached the problem (look at A) and my solution(in which i wasn't able to...
  36. B

    What happens in non-uniform circular motion?

    Hi, Say there's a particle moving with just a radial component of acceleration, this will stay in circular motion because the acceleration is always perpendicular to the velocity. But if you introduce a tangential component of velocity, according to my book the particle stays in circular...
  37. E

    Uniform circular motion particle problem

    Homework Statement At t1 = 3.00 s, the acceleration of a particle moving at constant speed in counterclockwise circular motion is a1=(6m/s2)i+(5m/s2)j At t2 = 4.00 s (less than one period later), the acceleration is a2=(5m/s2)i-(6m/s2)j The period is more than 1.00 s. What is the radius of...
  38. A

    Combinations/Permutations of Seating at a Circular Table

    Homework Statement In how many ways can a group of 9 women and 6 men be seated at a circular table if no two men can be seated next to each other? Homework Equations The Attempt at a Solution I have come up with a solution, but I'm unsure if my reasoning is correct...
  39. H

    Circular conductor with changing T effecting power and magnetic field

    Homework Statement When we keep a circular copper (ohmic) conductor at a constant temperature T_1, thermal energy is produced along it at a rate P_1 and the magnetic field at its center has magnitude B_1. Then, we heat the conductor to a higher constant temperature T_2 (i.e. T_2>T_1). At...
  40. J

    Need Help with Newton's equation and circular motion

    Homework Statement 1. Proof that the vectors \vec{t}(t) = cos(ω(t)), sin(ω(t)) and \vec{n}(t) = -sin(ω(t)), cos(ω(t)) are linearly independant 2. Proof that ω = ω\in\mathbb R 3. Can all angular velocities indicate a possible circular orbit? If so, proof it, if not which angular velocities...
  41. S

    Uniform circular motion lab question

    Could any here smart people help me with the Lab question: 3. Why do we measure the period by timing 25 revolutions? Why not one revolution or 100 revolutions? This is from http://www2.sunysuffolk.edu/denicog/labs/lab11_132.pdf Lab from Uniform Circular motion. Thank you so much!
  42. R

    Standing Waves in Bohr's Circular Orbit: Interference Explained

    If electron waves weren't standing waves in Bohr's circular orbit, why and how would the waves interfere ?
  43. Q

    How Does Spinning a Mass Affect Atomic Spacing in a Wire?

    I whirl a mass m attached to a wire with length L and diameter d around my head in the horizontal plane. The mass takes t seconds to move around a circle. How far do the atoms in the wire move apart, compared to their spacing at rest? Young's modulus is given. Okay, so Y = stress/strain...
  44. Q

    Circular motion velocity components problem

    Consider a circular hoop with a radius R and a mass M. Initially the centre of mass of the hoop is spinning, but not moving. Then a object with mass m is thrown at speed v by a spring-loaded gun with an angle of theta anticlockwise from the posive horizontal. Calculate the x and y components of...
  45. S

    Circular Motion, Massless String - Swinging Rock

    1. Homework Statement : A rock of mass m is attached to a string of negligible mass and length L. The rock is released from rest from a horizontal position. When the rock is at point P, the string attached to the rock makes an angle θ with the horizontal. In terms of the quantities, m, L, θ and...
  46. C

    Shuttle moving in a circular orbit

    The space shuttle is moving in a circular orbit with a speed of 7.8km/s and a period of 87min. In order to return Earth, the shuttle fires its retro engines opposite to its direction of motion. The engine provide a deceleration of 6m/s^2 that is constant in magnitude and direction. What is the...
  47. M

    How does an object undergo circular motion on a non-circular trajectory?

    Hello, Forgive me if this question is stupid. How an object undergoes circular motion when the trajectory is not circular. I mean if it is not moving in a circle then why is it called circular motion. http://emuonline.emu.edu.tr/phys101/PhIch6pg3_files/image009.gif Let's suppose I am running...
  48. dexterdev

    Why Is Circular Convolution Important in Signal Processing?

    Hi PF, What is circular convolution? Why do we need such an operation if we have linear convolution, What is its basic difference of both convolutions. Is circular convolution used only in frequency domain? -Devanand T
  49. F

    Circular Helix Line Integral: Solving with r and dr/dλ

    Homework Statement don't know the line integral latex code but; \int\underline{r}\timesd\underline{r} from (a,0,0) to (a,0,2∏b) on the circular helix \underline{r} = (acos(λ), asin(λ), bλ) The Attempt at a Solution Its the multiple use of the position vector r in the question...
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