Circular motion Definition and 1000 Threads

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...

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...

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...

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...

Homework Statement I have a differential equation of the form \frac{dZ}{d\theta} + cZ = a cos \theta + b sin \theta Where Z = \frac{1}{2}\dot{\theta}^{2} I need to find the general solution of this equation. a, b and c are all constants. Homework Equations The questions suggests using...

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...

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...

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...

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...

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...

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...

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!

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...

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...

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...

An energetic father stands at the summit of a conical hill as he spins his 25kg child around on a 5.7kg cart with a 2.4m long rope. The sides of the hill are inclined at 22º. He keeps the rope parallel to the ground, and friction is negligible. What rope tension will allow the cart to spin with...

Circular Motion and Static Friction Problem.. "The Wall of Death" ride Homework Statement A fairground ride called "The Wall of Death" consists of a cylindrical container of internal diameter 6.50m, mounted on a cylindrical axis. The passengers feel as if they are being pushed against the...

https://www.physicsforums.com/attachment.php?attachmentid=56184&d=1362060936 https://www.physicsforums.com/attachment.php?attachmentid=56185&d=1362060998 https://www.physicsforums.com/attachment.php?attachmentid=56186&d=1362061038 Any help of how to prove this problem would be...

Homework Statement A turntable of radius "r" is spinning counterclockwise at an initial rate of ω. at t=0, its rotation rate begins to slow at a steady pace. the rotation finally stops at t=T. At what time during the time interval 0<t<T was the magnitude of the centripetal acceleration of a...

Homework Statement It is common to see birds of prey rising upward on thermals. The paths they take may be spiral-like. You can model the spiral motion as uniform circular motion combined with a constant upward velocity. Assume a bird completes a circle of radius 6.00m every 5.00s and rises...

Homework Statement A car is moving with constant velocity v, and has wheels of radius R. The car drives over a clump of mud and the mud with mass m, and sticks to the wheel with an adhesive force of f perpendicular to the surface of wheel. At what angle (theta) does the piece of mud drop off...

How exactly does radius affect centripetal acceleration? In one formula we have (a=v^2/r) which implies inversely proportional, while in the other we have (a=(w^2)*r) which implies directly proportional. I understand that increasing r increases velocity (v=w*r) which means the right answer is...

Homework Statement The aeroplane is traveling at a speed of 75 m/s and the radius of the turning circle is 80 m. Homework Equations Calculate the angle which the airplane wings make the with horizontal during the turn. The Attempt at a Solution I tried but I couldn't get to the...

Homework Statement A particle moves with constant speed v around a circle of radius b. Find the velocity vector in polar coordinates using an origin lying on the circle. https://www.desmos.com/calculator/maj7t9ple1 Imagine the r starts at (0,0). Homework Equations \frac{d\vec{r}}{dt} =...

Homework Statement A boy ties a rock to a 0.95 m string and swings it in a horizontal circle directly over his head so that it completes one revolution every 0.75 s. What is the tension in the string? So we know r and we can calculate V, but that's all I can deduce Homework Equations...

Homework Statement I am trying to derive the formula a_r=\frac{v^2}{r} for uniform circular motion (for personal understanding, this is not an assignment). But am having some difficulty. I have seen other proofs, but I want to know why my approach is wrong. The Attempt at a Solution...

Can you tell me if my answers and sign are correct ? A car is traveling around a horizontal circular track with radius r = 250.0 m at a constant speed v = 18.0 m/s as shown. The angle θA = 19.0° above the x axis, and the angle θB = 60.0° below the x axis. What is the x component of the...

You are traveling on an airplane. The velocity of the plane with respect to the air is 120.0 m/s due east. The velocity of the air with respect to the ground is 43.0 m/s at an angle of 30° west of due north. 1.What is the speed of the plane with respect to the ground? I got 82.76 by doing...

Homework Statement In my physics book (Young and Freedman 12 edition), in the chapter about conservation of energy, it teaches me that I can use the theory of conservation of energy and discover the velocity at the bottom of a circular path, having the height of this circular path. I...

Homework Statement A particle of mass M is on the top of a vertical circle without initial velocity. It starts to fall clockwise. Find the angle with respect to the origin, where the particle leaves the circle. Homework Equations v=ωXr The Attempt at a Solution I used two unitary...

how can rcosθ in a banked road be equal to mg; since r is equal to normal reaction which is equal to mgcosθ. rcos is even smaller than r. so mg>mgcosθ mgcosθ=r r>rcosθ so mg>rcosθ then how can mg=rcos when banking in curved road?

Should the driver apply brakes or turn the car in a circle of radius 'r' to avoid hitting the wall? This question is in the excercise of circular motion chapter. In this question I don't uderstand from where to start. Some help would be greatly appreciated.

Homework Statement Two small planets are moving in circular orbits around the same star. If the radius of the orbit of planet A is 4 times the radius of the orbit of planet B, find the ratio of their speeds vA/vB. Homework Equations Not really sure but v=omega*r a(centripetal)=v^2/r...

Homework Statement If you are spinning an object of mass 3.25 kg on a 0.8 m long chain at 20 rpm (vertical cirular motion), a) what is the tension at the top b) 43° from the top and c) at the bottom?Homework Equations String tension: T = Fc - mg cosθ Tension at top: T = (mv^2/r) - mg Tension at...

There's basically a beam of protons moving in the x-y plane, 30 degree from the +x-axis. The magnetic field is oriented in the +z-axis. So would the particle's motion be circular or helical? I say helical, because the velocity isn't completely perpendicular. Is this correct?

Homework Statement A small car with mass .800 kg travels at a constant speed of 12m/s on the inside of a track that is a vertical circle with radius 5.0m. If the normal force exerted by the track on the car when it is at the top of the track is 6.00N, what is the normal force at the bottom of...

Hi, Suppose we have a fellow on a ferris wheel. Would the normal force be greater on the top or at the bottom of the ferris wheel? I'm thinking that it would be greater at the top, or am I wrong? Thanks,

Homework Statement So my professor gave me this formula GMplanet = (v^2 x d)/a to solve for the question and told me that m/v = density. I was told then to multiply the end result of m by 1000 and v by 1,000,000 to get the answer. I am given all the knowns except the acceleration. How do i...

Homework Statement A manufacturer of CD-ROM drives claims that the player can spin the disc as frequently as 1200 revolutions per minute. a. If spinning at this rate, what is the speed of the outer row of data on the disc; this row is located 5.6 cm from the center of the disc? b. What is the...

Homework Statement Consider a small box of mass m sitting on a wedge with an angle θ and fixed to a spring with a spring constant k and a length in a non-stretched state L. The wedge rotates with an angular velocity ω around the vertical axis. Find the equilibrium position of the box...

Question 1 A box of mass 5.8 kg is pulled to the right with a horizontal force of 8.2 N. If the box moves to the right with constant velocity of 2.66 m/s, what is the frictional force acting on the box? Question 3 A person pulls on a 41 kg table with a 215 N force acting at an angle of...

Homework Statement A ferris wheel with radius 14.0m is turning about a horizontal axis through its center. The linear speed of a passenger on the rim is constand and equal to 7.69m/s. What is the magnitude of the passenger's acceleration as she passes through the lowest point in her circular...

Homework Statement The carnival ride shown in Figure 7-18 has a 2.0 m radius and rotates once each .90 s a. Find the speed of the rider. b. Find the centripetal acceleration of the rider. c. What produces this acceleration? SOLUTIONS PROVIDED: a. 141 b. 98 c. --Explain-- Homework Equations...

Homework Statement One of the first cyclotrons, built in 1932, has D-s with a diameter of 28 cm, and its magnet was capable of producing magnetic field of 1.4 T. What is the maximal energy of the protons accelerated by this cyclotron? What is the frequency of the circular motion?Homework...

Homework Statement A 990-kg race car can drive around an unbanked turn at a maximum speed of 42 m/s without slipping. The turn has a radius of 140 m. Air flowing over the car's wing exerts a downward-pointing force (called the downforce) of 12000 N on the car. (a) What is the coefficient of...

Homework Statement A car starts from rest and accelerates around a flat curve of radius R = 31.7 m. The tangential component of the car’s acceleration remains constant at at = 2.97 m/s2, while the centripetal acceleration increases to keep the car on the curve as long as possible. The...

Homework Statement For a conical pendulum: Construct a free-body diagram for the pendulum and derive an expression for the acceleration in terms of the gravitational field strength g, the length L of the pendulum, the radius r of the circular path of the pendulum, and the frequency f of...

Max. speed you can drive on a circular hill an still be in "Uniform Circular Motion" Homework Statement The top of a hill is in the shape of a circle of radius 25 meters. Homework Equations a) What is the normal force that the road exerts on an 1800kg car as it tops the hill with a...

A small bead of mass m is moving on a smooth circular wire (radius R) under the action of a force F directed towards a point P at a distance R/2 from the centre .What should be the minimum velocity of the bead at the point where it is closest to P so that it may complete the circle. I worked it...

Homework Statement 0.5kg ball swings in a vertical circle at the end of a 1.5m long string. When the ball is at the bottom of the circle the tension in the string is 15 N. What is the speed of the ball at that point? Homework Equations ac=T/m ac=v^2/r The Attempt at a Solution...