Circular motion Definition and 1000 Threads

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=...

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...

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...

Why does fly wheel return in opposite motion after it comes to rest due to friction?

[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...

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...

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...

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)...

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...

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...

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)...

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...

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...

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...

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...

Homework Statement Tarzan plans to cross a gorge by swinging in an arc from a hanging vine. If his arms are capable of exerting a force of 1500N on the rope, what is the maximum speed he can tolerate at the lowest point of his swing? His mass is 85kg; the vine is 4.0m long Homework Equations...

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...

Torque causes a system to rotate about its axis while centripetal force causes a system to rotate about the axis of the separate system that exerted the centripetal force. So does this mean that torque specifically causes rotation and centripetal force causes revolution?

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

I made notes on this in class, but I did not understand everything about it. So, what I know is that vertical motion is when the object goes around in a circle like this: And horizontal I guess it is like this: But then I am very confused regarding what my teacher told me for horizontal...

Homework Statement Please could someone help explain the case of a friction-less banked race track. If you take an Olympic indoor banked cycle track and imagine for a moment that it was friction-less. The laws of circular motion tell us that without friction the banked geometry can enable a...

Hi Guys, I am trying to understand that how does the frictional force on a car moving in a circle is directed towards the centre? I do understand that kinetic friction acts tangentially to the motion and opposite to the velocity vector but why does static friction act towards...

The question is: If an astronaut who can physically withstand acceleration up to 9 times that of free fall (9g) is being rotated in an arm of length 5.0m what is the maximum number of revolutions per second permissible. I approached this by considering 9g to be the centripetal acceleration...

Homework Statement Could someone please help me with this quesiton 4. The Earth revolves about its axis every 24 hours. Find the magnitude of the average acceleration of a point on the equator over a 5-hour time interval. (The radius of the Earth is 6.38 x 106 m.) Homework...

Homework Statement An object is constrained to move in a circular path of radius r = 3.1 m. At the instant diagrammed in the Figure 1, the directions of the velocity and acceleration are indicated by the v and a, respectively.The magnitude of the acceleration is a = 11.2 m/s^2 and the angle...

Homework Statement I have attached questions about gravitron. I'm struggling with question 2 about calculating the normal force of the gravitron. Homework Equations mv^2/r The Attempt at a Solution I know the answer so I can figure it out as I know it involves setting the...

I'm wondering if someone is observing a situation from a frame moving in a uniform circular motion, would that frame of reference be considered inertial? I'm unsure because of the centripetal acceleration towards the center.

Currently we're discussing uniform circular motion in my physics class. The previous unit discussed vectors and vector addition in the i, j, k format. When I try to apply the rules for vector addition to find the resultant velocity in uniform circular motion, I get an increase in the...

In uniform circular motion, (eg, a mass on the end of a string moving in a horizontal circle) centripetal force is the only thing causing acceleration. we have the kinematic relationship V=RW or velocity is proportional to radius. I.e a bigger radius means greater linear speed? For the...

A particle of mass m is inside a long, narrow tube which rotates a constant angular velocity ω in the horizontal plane. (This means that you see the tube from the top of the figure and not from the side.) At time t = 0 is the particle on the radial distance a from the rotational axis and the...

How do you find the angle b/w tangential acceleration and total acceleration vector, Or angle between velocity vector and Acceleration vector. I'm really confused about this and no one's helping.

These equations model circular motion. Equation R is the position vector given in polar coordinates. What I've done is represent this vector onto the complex plane via equation (1). Equation (2) and (3) are the first and second time-derivatives, respectively. Now, the question I have is this...

Homework Statement Acrobat-dude swings two cups of liquid which are attached to ends of a string. He swings the two cups by holding onto the middle of the string. The acrobat then releases his hold on the string and the question asks what is the tension in the string at this point. The...

why simple harmonic motion is projected as or compared with uniform circular motion ?

Homework Statement Question 1. If two objects were in the same orbit around a planet they would both have the same orbital velocity regardless of their mass. Using the equation given, explain why an object with twice the mass experiences the same orbital velocity. Homework Equations...

We know that the magnitude of tangential component of acceleration is, atangential = dv/dt (where v is speed) So clearly atan = 0 for uniform circular motion (as v is constant) But what about non-uniform circular motion? I can see atan = 0 only when v = constant. But in non uniform circular...

Homework Statement So I just sat an exam today and I'm not sure how I did in this question. I think I did bad in it. http://www.examinations.ie/archive/exampapers/2014/LC020GLP000EV.pdf Its question 8Homework Equations F = mv^2/r v=ωr t=2(pi)r/v The Attempt at a Solution Q9 (a)...

Here is the problem I am working on: A steel ball is accelerated around a circular track of radius 72 cm from rest. after 3 circuits the ball reaches a speed of 4.00 m/s, assuming tangential acceleration, a_{T} , is constant, how long after the ball starts moving is radial acceleration, a_r ...

when the body rotates with uniform motion then the normal acceleration is V^2/r. but what is the normal acceleration when the motion is in non uniform circular motion let's say when body has uniform tangential acceleration.

Hi everyone, If you have a horizontal circular motion (with gravity action on the object), what holds the object up in the horizontal plane? All vertical components of the tension go to zero when the angle with the vertical axis is 90°... Where am I going wrong? Thanks Ramana

A interesting question came up to my mind, and it's related to the concept of different synchonization methods. If we change the synchronization parameter from 1/2 to some other value, light will have different velocities in opposite directions, which implies that two velocities with opposite...