Circular Definition and 999 Threads

  1. B

    Circular motion problem -- A ball rolling down an incline

    Homework Statement A 1 kg ball with a radius of 20 cm rolls down a 5 m high inclined plane. Its speed at the bottom is 8 m/s. How many revolutions per second is the ball making when at the bottom of the plane? Homework Equations circumference = 2πr velocity = distance / time = circumference /...
  2. H

    Circular motion in planets and satellites

    Homework Statement A spaceship in outerspace has a donut shaped with a 500 m outer radius. The inhabitants stand with their heads towards the center and their feet on an outside rim. Over what time interval with the spaceship have to complete one rotation on its axis to make a bathroom scale...
  3. P

    Double integral in Rectangular coordinates for anything circular

    This is the equation for the cone A \sqrt{x^2 + y^2} The double integral \iint A \sqrt{x^2 + y^2} \space dy \space dx \space \space \space\text {From x= -1 to 1 and y=} -\sqrt{1-x^2} \space to \space \sqrt{1-x^2} \text{ is very difficult to evaluate. I've tried polar coordinate substitution...
  4. Nathanael

    Do tidal forces slowly make orbits more circular?

    I don't understand, how can tidal forces make the orbits more circular? Perhaps it has something to do with the fact that in elliptical orbits (unlike in circular orbits) the velocity is not always perpendicular to the acceleration? Or maybe it does not have to do with the tidal forces from the...
  5. J

    Circular Linear guide solutions

    I am working on a system that uses circular motion of 65° of a circle with 8,5cm radius. Thing is, What first comes to mind are Linear guides with a curved/circular track and I've found some examples such as; http://ind-techno.com.ua/en/cat/20/556/78030/...
  6. R

    What is the Maximum Radius for a Bucket of Water in Circular Motion?

    Homework Statement A 3.75 kg bucket pile of water is swung in a vertical circle. If the speed of the bucket at the top of the loop is 6.20 m/s, then the radius of the largest circle through which this pail could move without the water leaving the bottom of the pail would be what? m = 3.75 kg...
  7. Hijaz Aslam

    Force on a circular loop due to hypothetical magnetic field.

    Homework Statement A hypothetical magnetic field existing in a region is given by ##\vec{B}=B_o\vec{e}_r##, where ##\vec{e}_r## denotes the unit vector along the radial direction. A circular loop of radius a, carrying a current ##i##, is placed with its plane parallel to the X-Y plane and the...
  8. S

    Inclusion-Exclusion Principle and Circular Arrangement

    6 people are invited to a dinner party and they are sitting on a round table. Each person is sitting on a chair there are exactly 6 chairs. So each person has exactly two neighboring chairs, one on the left and the other on the right. The host decides to shuffle the sitting arrangements. A...
  9. D

    Hydrodynamic Entry Length of Flow Through Circular Annulus

    I might be going crazy or searching at the wrong places. Is there an empirical formula for solving the hydrodynamic entry length of laminar flow through a circular annulus? Thanks!
  10. tomo

    2 questions regarding circular motion and Newton's 1st Law

    Hey, I'm an adult who finally realized that physics is great and tries to recall (or rather learn for the first time) what he learned at the school. I've been reading some basic things around. It's not really a homework question, I'm just trying to understand the laws here. 1. I know that if a...
  11. T

    How does kinetic energy change in circular motion?

    Could someone explain to me how the kinetic energy of a body moving in a circle is like? I got tempted it stays constant as the speed is constant but that turned out to be false. I am interested in places where the body is at top, side and bottom and so on. So I'd like to also know what the KE...
  12. L

    Parametric equation of a particle in a circular trajectory

    Homework Statement [/B] You are given a particle, with the trajectory of a circle, with radius of 3 meters. The particle moves clock-wise, and when t=0, the x, y coordinates are (0, -3). Find parametric equations for the coordinates (x, y) in terms of the parametric t (time). Homework...
  13. A

    Why they don't give me the same answer? dynamics of uniform circular motion

    Homework Statement So a body $m$ is on a uniform circular motion ($\omega = d\theta/dt = \text{constant}$), it is suspended by an inextensible rope with negligeable mass Homework Equations P = mg , didnt know what to put here The Attempt at a Solution So this is what the book did. What I...
  14. S

    Circular Motion and Gravitation of tether ball

    Homework Statement There is a tether ball swinging around in a uniform circle on a rope that is 1.90m long. Marcus hit the ball so hard that the string holding the ball made a 20.0 degree angle to the horizontal. What is the tension in the rope if the ball has a mass of 1.40 kg? Assume that the...
  15. A

    Force Exerted Non-Uniform Circular Motion

    Homework Statement A bucket of water (10kg) is swung vertically. Radius is 1 m. It takes 1 second to spin the bucket in a full circle. a. How much force has to be exerted at the top of its motion? b. How much force must be exerted at the bottom? Homework Equations vtop=sqrt(gr) top: Ftension=...
  16. F

    Calculating Speed in Circular Motion: A Roller Coaster Conundrum

    A 400kg roller coaster cart travels along the inside of a vertical circular track of radius 10 m. At its highest point it moves at 20 m/s. Friction between the cart and track is negligible. Find the cart's speed one quarter of a loop later (when it's at the same height as the loop's center). I...
  17. Mickey Tee

    Vertical Circular Motion Problem

    Homework Statement Homework Equations Centripetal Acceleration = v2/r Fnet = ΣF The Attempt at a Solution The block exerts a force W equal to its weight on the box at the top most position. This upward W minus W downwards and an unknown F downwards equals a net Fc downwards. So F equals Fc...
  18. cseil

    Uniform circular motion for proton and 2 particles

    [Note by mentor: This thread does not use the homework template because it was moved here from a non-homework forum.] Hello, I have a problem with this exercise. I don't know if my solution is right! Could you check it, please? A proton with kinetic energy Kp is moving in a uniform magnetic...
  19. Ludwig

    Uniform Circular Motion puzzle

    The position function for a particle moving on a circle (with constant speed) is: ## \vec{r}(t)=\left \langle r\,sin(t), \, r\,cos(t) \right \rangle ## Taking the first and second derivatives, ## \vec{v}(t)=\left \langle -r\,cos(t), \, r\,sin(t) \right \rangle ## ## \vec{a}(t)=\left \langle...
  20. F

    Circular Motion using polar coordinates - Mechanics

    Homework Statement A block of mass M is on a frictionless table that has a hole a distance S from the block. The block is attached to a massless string that goes through the hole. A force F is applied to the string and the block is given an angular velocity w0 , with the hole as the origin, so...
  21. S

    Confused in diffferent forces involved in circular motion

    Hi, I am trying to solve one problem of circular motion and I searched on Internet and found many things and I am confused about different forces or I think same force is shown as different symbol. What I learned is as follows:Force = F = ma (horizontal movement - where height is not involved)...
  22. S

    Circular motion banked curve questions

    Relative equations: F = ma a = v^2/r Fcent = mv^2/r ωf^2 – ωi^2 = 2αs s = θr ω = v/r Problem statement and work so far are all included: (I am having trouble with 5 and no clue how to start on 7-9) You are designing a roadway for a local business, to include a circular exit ramp from the...
  23. K

    High school circular motion problem

    Homework Statement The problem is: An amusement park is replacing it's stand-up roller coaster with a G-Force ride. Riders will enter the ride at the apex and lean against the wall of the ride. The G-force ride will speed up until riders reach height h above the apex. Determine the minimum...
  24. F

    Circular Motion Ball on a String

    Homework Statement https://www.dropbox.com/s/slpu1p8jplmxzmy/Screenshot%202014-11-18%2020.11.58.png?dl=0 Homework Equations Fnet = ma ma = (mv^2)/r The Attempt at a Solution ai) Ft up, mg down /\Ft I m I \/mg aii) both down m I I \/mg \/Ft aiii) Ft right, mg down m - >Ft I \/mg b)...
  25. LarryS

    Classical Circular Polarization vs. Photon Spin Eigenstates

    Hello, Given an electromagnetic wave that is, from a classical point-of-view, not circular polarized. Does that correspond in QM to photons with the ZERO spin eigenstate? Thanks in advance.
  26. Adithyan

    Particle inside a smooth groove performing circular motion

    Homework Statement [/B] A circular table of radius rotates about its center with an angular velocity 'w'. The surface of the table is smooth. A groove is dug along the surface of the table at a distance 'd' from the centre of the table till the circumference. A particle is kept at the starting...
  27. T

    Circular Motion with time-dependent radial acceleration

    Homework Statement A particle is traveling on a circle with a radius R. The particle's radial acceleration is given as: a_r=At^4 At time t=0 the particle is at (R,0) . A. Find the distance that the particle has traveled as a function of time S(t) . B. Display the particle's acceleration...
  28. P

    Horizontal circular motion problem

    Homework Statement I have this question to solve for homework : " An object of mass 10 kg is whirled around a horizontal circle of radius 4m" If the uniform speed of the object is 5m/s Calculate a) tension in string b) angle of inclination of string to the vertical.Homework EquationsThe Attempt...
  29. D

    Circular Motion -- Swinging keys on a string in a vertical circle

    Homework Statement Assuming the keys are moving in uniform circular motion![/B] Keys with a combined mass of 0.100 kg are attached to a 0.25 m long string and swung in a circle in the vertical plane. a)What is the slowest speed that the keys can swing and still maintain a circular path...
  30. Hijaz Aslam

    Electric Field of a circular arc at a point

    Homework Statement Given that the circular arc wire with radius 'r' has a linear charge density ##\lambda##. What is the Electric field at the origin? Homework Equations ##\vec{E}=\frac{kq}{r^2}## where ##k=9\times10^9## is a constant. 3. The Attempt at a Solution I took a small segment dy...
  31. S

    What is the question you are trying to answer?

    Homework Statement Hello there, So I have a problem that I can't seem to figure out on my own. I have no background in physics (I haven't taken a physics course as of right now,) but my robotics team requires some math. I need to find the equation for moving something with a mass of 1.5kg...
  32. T

    Hydrostatic Pressure on Curved Circular Surface

    Homework Statement Picture:[/B] The Attempt at a Solution [/B] Can someone please help..There's no answers and I think my answer is very wrong, as you can see I have pretty much no idea what I'm doing. Thanks Edit: Where it says net force I meant to say net force per unit width. Edit2...
  33. A

    Vibrations of a circular membrane with free ends

    Hello, As of this moment I am trying to get in the process of writing an Extended Essay on Chladni Plates, more specifically on a circular vibrating membrane with free ends. To begin with I thought the concept could be simplified to such an extent where I could take a cross-section of the plate...
  34. P

    Uniform Circular Motion on a race track

    Homework Statement On a banked race track, the smallest circular path on which cars can move has a radius of 116 m, while the largest has a radius of 153 m, as the drawing illustrates. The height of the outer wall is 11.6 m. Find (a) the smallest and (b) the largest speed at which cars can move...
  35. P

    Uniform Circular Motion of a centrifuge

    Homework Statement A centrifuge is a device in which a small container of material is rotated at a high speed on a circular path. Such a device is used in medical laboratories, for instance, to cause the more dense red blood cells to settle through the less dense blood serum and collect at the...
  36. P

    Non-uniform circular motion problem

    Homework Statement A 200g ball on a 55-cm-long string is swung in a vertical circle about a point 200 cm above the floor. The string suddenly breaks when it is parallel to the ground and the ball is moving upward. The ball reaches a height 600 cm above the floor. What was the tension in the...
  37. G

    Uniform Circular Motion of a Spherical Earth

    Homework Statement In this question, the Earth is modeled as a uniform sphere of radius 6400km. Objects are released from points just above the Earth's surface at the equator and at the North Pole. Which will fall to the Earth with the greater acceleration and by how much? Homework Equations...
  38. N

    Circular motion of a steel block

    Homework Statement A .5 kg steel block rotates on a steel table, attached to a 1.20m-long hollow tube. Air is fed through the tube and is ejected from the block, giving it a thrust force of 5.21N perpendicular to the tube. Max tension the tube can withstand without breaking is 50N. Assume...
  39. E

    The Impact of Current on Circular Paths: Examining Equation 1

    Homework Statement Once a circular path has been obtain for the electrons, how will increasing current to the coils affect that path? Use equation 1 and the fact that e/m is a constant for the electron. Homework Equations e/m = 2V/B^2r^2 The Attempt at a Solution I'm unclear as to how to...
  40. K

    Circular Motion of a moving rock Problem

    Homework Statement You hold a bucket in one hand. In the bucket is a 480g rock. You swing the bucket so the rock moves in a vertical circle 2.8m in diameter. What is the minimum speed the rock must have at the top of the circle if it is to always stay in contact with the bottom of the bucket...
  41. Quadrat

    Maximum angle in a vertical circular motion

    Homework Statement A person with the mass m swinging in a pendulum motion (vertical circular motion) hangs by a rope (with negligible mass) that can stand a tension of two times the person's mass. I am trying to calculate the maximum angles of the circular motion without the rope breaking...
  42. gcombina

    Circular Orbit / Practice Quiz #4, Question 27

    Homework Statement What is the acceleration due to gravity at an altitude of 1.00 x 10^6 above the Earth's surface, given that the radius of the Earth is 6.38 x 10^6 m?Homework Equations Using g = GMm/r^2 Fc = mv^2/r The Attempt at a Solution Fc = mv^2/r How can I solve this equation if I am...
  43. D

    Calculating Fourier Transform in Circular Wells

    Hi everyone, do you know how to calculate the Fourier transform for the infinitely deep circular well (confined system)? The radial wave function is given by R=N_m J_m (k r). k=\alpha_{mn}/R. R is the radius of the circular well. R(k R)=0. Thanks. Another question is that The k in J_{m}(k r)...
  44. P

    Does the observable universe support the idea of circular math?

    so, i am wondering, the math equation for a circle, we can prove it has infinite number of points, thus no sides, but that's on paper. is there anything in observable universe that shows us this math??
  45. A

    Velocity of an Object in Uniform Circular Motion

    Homework Statement An object of mass 0.5 kg is swung in uniform circular motion. The radius is 2 meters, and the force exerted is 4 N. Calculate the magnitude of the velocity. Answer Choices: a) 0.25 m/s b) 1 m/s c) 4 m/s d) 16 m/s Homework Equations v = 2piR/T F = mv^2/R The Attempt at a...
  46. P

    Uniform Circular Motion: Why is the velocity changing?

    I encountered this question in a practice test for an upcoming exam. My first inkling was to answer with (C) because in uniform circular motion, the acceleration always points towards the center of the circle, but the actual answer was D. Do you think this question was just an issue of direction...
  47. D

    Finding acceleration with circular motion

    Homework Statement Entrance and exit ramps for freeways are often circular stretches of road. As you go around one at a constant speed, you will experience a constant acceleration. Suppose you drive through an entrance ramp at a modest speed and your acceleration is 2.0 m/s2. What will be the...
  48. J

    Circular Motion: Constant Centripetal Force and Velocity

    Homework Statement Assessing the required forces at the top and bottom of a loop de loop. I understand that you need a larger force at the bottom of the loop because you have to counter gravity. My question is, when you are undergoing uniform circular motion and your centripetal acceleration is...
  49. B

    Minimum Shear Stress in Hollow Circular Tube

    Homework Statement A hollow pipe has an inner diameter of 80 mm and an outer diameter of 100 mm. If its end is tightened using a torque wrench using 80 N forces, determine the maximum and minimum shear stress in the material. Where are they located? Note: In the diagram of the picture, the...
  50. avinamaurya

    Circular polarization phase difference

    Phase difference between two component of Electric field vector seems to me that the phase difference for circular should be of odd multiples of 90 but its not 90 when n value substituted. Please help for solution..
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