Centripetal Definition and 1000 Threads

Homework Statement The elliptical orbit of a comet is shown above (hidden document I apologize but easy to picture). Positions 1 and 2 are, respectively, the farthest and nearest positions to the Sun, and at position 1 the distance from the comet to the Sun is 10 times that at position 2. What...

Hello, This is a very basic question. I am sure I am doing something wrong in the derivation as shown in the picture. But I am not able to find out where I am doing it wrong. It would be very helpful if you can pls. let me know what I am doing wrong here. Thanks

Homework Statement Imagine another planet with an acceleration of 10m/s^2 at its equator when ignoring the rotation of the planet. The radius of the planet is 6.2 x 10^6m. An object dropped at the equator yields an acceleration of 9.70m/s^2. Determine the length of one day on this planet...

I don't know if my ΣFin is correct I am having trouble setting it up. Can you check if the new diagram and the component setup is right? Problem: Work:

Homework Statement Imagine another planet with an acceleration of 10.00 m/s^2 at its equator when ignoring the rotation of the planet. The radius is 6.2 x10^6 m. An object dropped at the equator yields an acceleration of 9.70 m/s^2. Determine the length of 1 day on this planet. Homework...

Homework Statement the centripetal acceleration of an object at Earth's equator results from the daily rotation of Earth. Calculate the object's centripetal acceleration, given that the radius of Earth at the equator is 6.38*10^6m. Homework Equations a=v^2/r The Attempt at a Solution I really...

Hello Forum, In the situation of a car banking a curve there are two forces: weight W and the normal force N. Theta is the banking angle between the road and the horizontal. The vector addition between W and N gives a net force F_net that is directed toward the center. That F_net is the...

Homework Statement Rebecca goes on a popular ride at an amusement park that involves a cylinder rotating on a vertical axis, with a radius of 6.20 m. Rebecca stands inside, with her back against the wall of the cylinder. The ride rotates and presses Rebecca against the wall of the cylinder...

1. At what rate a space station 200m in diameter would have to rotate to create gravity equal to 0.7 that at the surface of earth. How fast does it spin, and how long would it take to make a complete rotation? 2. a2 = v2 / 100m T = 2pi(r) / v 3. so far: 6.867m/s2 = v2 / 100m = 26.2 m/s T =...

Homework Statement <I will attach a diagram below> In terms of m, g and r. FInd the normal force at the top of the loop. Homework Equations ∑F = Fc = FN+Fg ∴ Fc=FN+Fg ∴FN = Fc - Fg ∴ N=mV2/r - mg The Attempt at a Solution Fc=mV2/r - mg and V2=ra and a=g ∴C=mrg/r ∴C = mg ∴mg-mg=N ∴ N=0 N. BUT...

I have been wondering this for a while. I know that tires using static friction due to reasons that I forget and therefor maintain good traction with asphalt. A few years ago family member said that if there was too much friction on a road then a car wouldn't move, but I argued that the car...

Homework Statement A car drives on a circular road with radius ##R##. The distance driven by the car is given by ##d(t) = at^3 + bt## [where ##t## in seconds will give ##d## in meters]. In terms of ##a##, ##b##, and ##R##, and when ##t = 2## seconds, find an expression for the magnitudes of (i)...

i calculated the centripetal forces in our solar system but i can't seem to find a connection using the centripetal force formula: Fmpz=(m⋅v2)/r i found out that the mean centripetal force for the planets around the sun is about 10^39, the mean centripetal of the moons around Jupiter is about...

Im picturing a stationary object at the equator of the earth, going around in uniform circular motion due to the Earth's rotation. The centripetal acceleration would point directly inwards into the Earth at all points in the circular rotation, and gravity would also point in the same direction...

I am wondering if someone can show me how to calculate the exit speed of an object if it is dropped into a container which is spinning at 5000 rpm and has a radius of 120mm. Let us assume the object weighs one gram. I am building a machine for wear testing. rock/water is supplied to the centre...

Hi - Can anyone help me out with a question. The answer seems obvious, but maybe so obvious that I'm jumping to wrong conclusions! Just been reading Guy Martin's book "When your dead, your dead" (good read by the way) and one of his stories is about breaking the world speed record for a wall of...

Just using basic dimensional analysis, it appears the time derivative of centripetal acceleration is ## \vec{r} \omega^3 ##, but this intuitive guess would also extend to higher order time derivatives, no? Implying: ## \frac {d^n \vec{r}}{dt^n} = \vec{r} \omega^n ## It seems to follow from the...

Homework Statement In a certain carnival ride, visitors enter a circular room with radius r=9.1m. The room then begins spinning around its center, reaching an angular speed of 1.7rad/s. What centripetal acceleration do the riders experience? Homework Equations ac= v^2/r The Attempt at a...

How can you calculate centripetal acceleration in a non circular system(I.E. if wanted to calculate the centripetal acceleration in an eclipse, or a parabola how could I do that?)

While balancing rotating mass we consider the inertia force (centrifugal force) is equal and opposite to centripetal force which causes the rotation. if both force(applied external force on rotating mass) which causes the motion and force which resist motion (inertia force) are equal and...

Homework Statement A 50 g weight is swung in a circle on the end of a 90 cm long string at the speed of 5.9 m/s, what is centripetal force? [1.9 N] Homework Equations Vc = (2πr)\T |a| = v^2/r Fc = T-Fg (not sure if T is force of tension or period, my teacher,incorrectly,uses it...

It can be found in any advanced calculus textbook the proof that, for a "well-behaved" space curve, the acceleration vector can be decomposed into components along the tangent and normal unit vectors. The acceleration vector is always orthogonal to the binormal vector. The decomposition is...

Question: In the Bohr model of the hydrogen atom, the speed of the electron is approximately 2.18 × 106 m/s. Find the central force acting on the electron as it revolves in a circular orbit of radius 5.02 × 10−11 m. Answer in units of N. Comment on Attempt: Ok I tried using the centripetal...

Homework Statement [/B] Everywhere I looked they solved this problem with energy conservation, but is it possible to solve it using centripetal acceleration? Homework Equations The Attempt at a Solution I tried putting (mv^2/r)*sin (theta) - F= ma which i solved for a. This gives me...

Homework Statement If a car doubles its speed on a circular off-ramp how much more centripetal force will be required for it to make the turn2. The attempt at a solution I think that half of the centripetal force will be required for it to make the turn due to the fact that faster the car goes...

Homework Statement Tarzan plans to cross a gorge by swinging in an arc from a hanging vine. If his arms are capable of exerting 1350 N on the vine, what is his acceleration at the point where the vine makes an angle of 45 degrees from the vertical assuming maximum speed at this point. His mass...

Homework Statement The problem is as follows: A skater started at the top of a halfpipe that makes a 40 degree angle with the horizontal. He is now about halfway down the pipe and represented by the rectangle. His center of gravity is represented by Z, the midpoint of the circular movement...

Homework Statement For a scene in a movie, a stunt driver drives a 1.20✕ 103 kg pickup truck with a length of 4.65 m around a circular curve with a radius of curvature of 0.333 km (Fig. 7.29). The truck is to curve off the road, jump across a gully 10.0 m wide, and land on the other side 2.96 m...

I don't really understand how the centripetal force arises from driving on a banked curve. There are three forces acting on a car in circular motion on a banked curve: normal force, gravity, and applied force. Let's assume that there is no friction, and that somehow the car is already at a...

So I understand that centripetal force is "center-seeking", however I'm curious as to how this looks on a free body diagram. I know there is no arrow on the FBD representing centripetal force. However, if we're looking at say a roller coaster at the top of a loop, gravity points downward, and...

Homework Statement Mass 1 (2.0kg) sits on top of mass 2(5.0kg), which rests on a frictionless surface. The coefficient of static friction between mass 1 and mass 2 is 0.30. A string of length 5.0m is tied to mass 2, and both masses are swung around in a horizontal circle. Calculate: a) The...

Homework Statement Homework Equations centripetal force F = mrw^2 The Attempt at a Solution the answer says that it is the one at the edge because F is greater since r is greater. but should the force be inwards, why would the mud leave the plate. what force acts on it. can someone help

Homework Statement You are standing 2.7 m from the centre of a spinning merry-go-round holding one end of a string tied to a 120g mass. The merry-go-round has a period of 3.9 s. Draw a system diagram of the situation. Draw an FBD of the mass in Earth's frame of reference. Draw an FBD of the...

Homework Statement I was watching a video on centripetal forces, and at one point in the video, the instructor poses a question where he shows a bucket filled with water which requires an Fnet of 3N towards the center to keep the water in the bucket. At one point in the video (please seek to...

Can you help me find the kind of force that can result in a rotation?(the force that can be considered as centripetal force) I know that static friction, contact force, tension, gravity can cause rotation, what else? can you help me find as many as possible? and kinetic friction can't cause...

Homework Statement At the Olympic bob-sleigh competition, a new (I admit, fairly boring...) track has been built, as drawn in the figure. It is composed of straight lines with lengths as indicated in the figure and 90.0 degree turns, each with the same radius of curvature r1 = r2 = r3 = r4...

1. A roller coaster is designed with a clothoid loop that has a radius of 12 m at the top. For comfort, the apparent weight of a rider at the top of the loop must be 0.400 normal weight. What is the speed of the car at the top of the loop? 2. Fn = 0.400(Fg) Fn = 0.400(mg) mv2 / r = Fn + Fg...

1. At a velodrome, bicycle riders race around the inside of a course shaped like a cup whose angle increases as the rider moves up the side. At one point the radius of the path is 50.0m and the track makes an angle of 45.0 degrees with the horizontal. If a rider is perpendicular to the track at...

Homework Statement 1988M1. A highway curve that has a radius of curvature of 100 meters is banked at an angle of 15° as shown above. a.Determine the vehicle speed for which this curve is appropriate if there is no friction between the road and the tires of the vehicle. On a dry day when...

#1 Round and round we go! You are constructing a centrifuge to use its spinning motion to act like increased gravity. (a) Find the formula for centripetal force. (b) Your centrifuge can spin at 35,000 rpms and your samples are placed 1.75 inches from the center of rotation. If the force of...

Homework Statement Answer True, False, or Cannot tell to each of the five statements below. A small projectile is launched horizontally 1 m above the surface of a smooth, airless planet, with sufficient speed for orbit. A bug riding in a small hole in the projectile has apparent weight...

Homework Statement I'm doing the lab report questions for the centripetal force experiment using this apparatus: ftp://ftp.pasco.com/Support/Documents/english/ME/ME-8088/012-08478B.pdf. One of the lab questions asks whether using a larger "free mass" reduces the percentage error. Homework...

Homework Statement Two protein having same density 1.35 g /cm^3 but with different diameter 4nm and 5nm. They are mixed at the top of a centrifuge tube that is of length 1cm. What is the centripetal acceleration needed to separate them before they move to the end of the tube? Homework...

a car goes around a vertical circle; determine the period of one cycle if the radius= 6m mass=800kg, gravity=9.8m/s^2 gforce = 6g my attempt at the bottom of circle: fnet=ma fn+fg=(mv^2)/r fn+fg=(4∏^2mr)/t^2 t=√4∏^2mr/fn+fg t=√4∏^2(800)(6)/(fg+fg) <-----value of fn and fg will be in opposite...

I don't have a specific homework assignment, but rather my problem is with the general concept. I don't understand the forces acting in uniform circular motion. As I understand it, the force is directed inward, and there is no other force in the same dimension (in an idealized model). But in my...

Hello, I've been thinking about inertial and non inertial reference frames. A common example is non rotating reference frame vs a rotating reference frame. As illustration, I have attached two images below. The left is the inertial frame and the right is the non inertial frame. Both...

Homework Statement A hump backed bridge is in the form of a circular arc of radius 35m. What is the greatest speed with which a car can cross the bridge without leaving the ground at its highest point? Homework Equations F = m v2/r = mrω2 The Attempt at a Solution I've tried using the equation...

I know that the centripetal force is the resultant force which points to the center. So in the case of a washing machine, what force pushes the clothes and water to the outer edge? There is not centrifugal force, but then how come all the clothes appear to get pushed to the circumference of the...

Hi, The force of gravity is the centripetal force when an object is in motion. But in projectile motion, where the speed is not enough to keep it in orbit, could the force of gravity be equated to centripetal force? I'm trying to understand if all types of curved motion can be explained by...

Homework Statement A skateboarder has to do a loop the vertical loop of a roller coaster track. The radius of the loop is 6.53 m, what is the minimum velocity the skateboarder must have to not fall off when he is at the top of the loop. Homework Equations Equation for centripetal...