Centripetal acceleration Definition and 411 Threads

in physics, I've been taught that centripetal acceleration is given by v^2/r, but when i try to derive it myself, i get a=2v^2/(pi*r). i said that if the time period is T, after a time of T/4, the velocity would be going in the next direction, i said west to south, and this gives the equation...

Homework Statement Given a Ferris wheel that rotates 5 times each minute and has a diameter of 19 m, with the acceleration of gravity as 9.8 m/s^2, what is the centripetal acceleration of a rider? Answer in units of m/s^2. (There's a diagram that shows a ferris wheel with radius 9.5 m spinning...

Homework Statement what is the magnitude and direction of the centripetal acceleration necessary to confine the motion of a 0.5kg mass moving at speed 0.1m/s to a circular path 0.2m in radius Homework Equations a = v^2/r The Attempt at a Solution 0.1^2/0.2 = a a =...

Homework Statement A small ball with a mass of 3.0kg revolves uniformly in a circle on a frictionless horizontal surface. The ball is attached to a string of 1.40m to a pin set at center of circle. The object makes 2rev/sec. a)find the centripetal accel b)find the tension exerted on the...

Homework Statement In the Bohr model of the hydrogen atom, the electron revolves around the nucleus. If the radious of the orbit is 5.3x10^-11 m and the electron makes 6.6^13 r/s find a)the acceleration of the electron and b)the centripetal force acting on the electron. (this force is due...

w=2π /T v=rw=2πr/T a=rw2=r(4π2r2/T) This I know, but why can't I just differentiate v with respect to t to get a? (But the answer is wrong) Can anyone tell me why? Thanks.

Homework Statement A 1000 kg car is traveling along a flat section of the highway at a speed of 90.0 km/h. The driver notices a curve in the road ahead, with a radius of 150 m. a) If the pavement is dry and the coefficient of friction between the car tires and the road is 0.820, determine...

1. Suppose a space shuttle is in orbit 400 km from the Earth's surface, and circles the eart about once every 90 minutes. Find the centripetal acceleration of the space shuttle in its orbit. Express your answer in terms of g, the gravitational acceleration at the Earth's surface. 2...

Homework Statement Hi I have a question that involves a laundry dryer, and it must turn at a certain velocity to so that when the object hits 68 degrees to the horizontal it will fall. the radius is the only given r = .330m Homework Equations the answer is stated as Fc = N +...

This is probably a geometry question more that a physics question. I am trying to prove that in uniform circular motion \Delta V/V= s/R. I am basically trying to show that S forms a right triangle with \DeltaV, when V{1} is added to V{2} as a vector. (This is to demonstrate that the triangles...

A car rounds a corner of radius r= 45 m. If the coefficient of static friction between the car and the road is= 0.82, what is the greatest speed the car can have in the corner without skidding? am i in the right direction with v^2=.82*9.8*45m? then square root both sides for the answer?

A windmill starts from rest and rotates with a constant angular acceleration of 0.25 rad/s2. How many seconds after starting will the magnitude of the tangential acceleration of the tip of a blade equal the magnitude of the centripetal acceleration at the same point? I don't exactly know...

Homework Statement Consider a conical pendulum that consists of a bob on one end of a string of negligible mass with the other end of the string attached to a point on the ceiling, as shown. Given the proper push, this pendulum can swing in a circle at a given angle, maintaining the same...

#1) A child ties a .25kg rock to the end of a string and whirls it at a constant speed in a horizontal circle of radius 75 cm. What, approximately, is the maximum speed at which the stone may be whirled if the string will break for a tension exceeding 300N? A. 10 m/s B. 13 m/s C. 15...

Suppose a nickel sits on a flat turntable that spins at 78 rpm (revolutions per minute) while sitting on a horizontal surface. The nickel is 15 cm from the center of the turntable. What is the minimum coefficient of friction that keeps the nickel on the turntable? Relevant equations: I am...

Homework Statement This will be kind of long because it's not just a simple problem, it's a lab. Sorry about that. So the lab is testing the concepts of forces and centripetal force, for starters. We are supposed to be "investigating the relationship between period and acceleration." In class...

Two cars are traveling at the same speed of 28 m/s on a curve that has a radius of 124 m. Car A has a mass of 1080 kg, and car B has a mass of 1500 kg. Find (a) the magnitude of the centripetal acceleration and (b) the magnitude of the centripetal force for Car A, (c) the magnitude of the...

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 bottom of the...

1. Homework Statement : A 4.00 kg object is attached to a vertical rod by two strings (as below). The object rotates in a horizontal circle at constant speed 6.00 m/s. mass = 4.00 kg V = 6.00 m/s Homework Equations centripetal acceleration = Ac Ac = V^2/r...

For starters, I feel sorry for those who have to sift through all these questions and answer them. It seems like you've got a very busy job! Hopefully there are many of you to share the workload. This is an assignment question that I get 3 attempts on. I've made two, both were incorrect...

Moment of inertia, I is the resistance of an object to rotational motion. It is the rotational analogue of mass and is given by the following integral, I = \intmiri2 . A simple derivation was explained to me as follows. A moment, τ is the product of force, F and lever arm, r. τ = F*r...

Homework Statement Pulsars are neutron stars that emit X rays and other radiation in such a way that we on Earth receive pulses of radiation from pulsars at regular intervals equal to the period that they rotate. A certain pulsar has a period currently of length 33.085m/s and is estimated to...

Homework Statement An airplane is flying in a horizontal circle at a speed of 460 km/h (Fig. 6-42). If its wings are tilted at angle θ = 37° to the horizontal, what is the radius of the circle in which the plane is flying? Assume that the required force is provided entirely by an...

Homework Statement An old streetcar rounds a flat corner of radius 9.1 m, at 16 km/h. What angle with the vertical will be made by the loosely hanging hand straps? Homework Equations The equations I know: acceleration = velocity squared / radius (a = v^2 / R) Force = mass *...

Homework Statement ok well then... we did a lab were you have a hanging mass attached to a stirng that went through a straw and was attached to a rubber stopper. The lab was to find the mass of the rubber stopper once you know the velocity. So I was woundering if this looks correct...

EDIT: I figured out what I did wrong. T=\frac{2{\pi}r}{v}, not \frac{2{\pi}r}{\omega}. Now it all falls together.Homework Statement A small disk of mass m_1 on a frictionless table is attached to one end of a string. The string passes through a hole in the table and an attached narrow, vertical...

Homework Statement A ball swings in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9° past the lowest point on its way up, its total acceleration is (-22.5i, 20.2j) m/s2. At that instant, (a) determine the magnitude of its radial acceleration, and (b) determine the...

What happens to the period when you cut the radius in half for a centripetal acceleration problem? a=V^2/r T=2pi*r/v I need some background on this question. I believe the answer is the period is decreased by a factor of 2. I am just slightly confused.

Homework Statement A circular disk of radius 30 cm is rotating with an angular acceleration of 1 radian/ s2. What is the tangential acceleration of a point on the rim of the disk? What is its centripetal acceleration if the angular speed is 3 rev / s? Homework Equations tangential...

Homework Statement A rollercoaster car is going over a hill, with a person sitting with -no- restraints. The velocity of the car and radius of the hill are such that the centripetal acceleration of the cart is 15 m/s^2. What is the relative g environment (for the rider) and how many g's does...

Homework Statement The mass of an electron is 9 x 10-31 kg. The mass of a proton is 1.7 x 10-27 kg. The proton and electron are about 1.0 x 10-10 m apart in a hydrogen atom. What force of gravitation exists between the proton and the electron of a hydrogen atom? What is the centripetal...

Hi. I'm trying to derive a = (v^2)/r from the position of a particle moving in a circle. Since the equation for a particle moving in a circle is x(t) = r(isin(wt) + jcos(wt)) where w is constant. I took two derivatives to find it's acceleration. I got a(t) = -rw^2(icos(wt)+jsin(wt)). Now I'm...

"A windsurfer and their board have a total mass of 100 kg. While making a turn downwind, their heading changes from due west to due south over a 5 s time interval. If they maintain a constant speed of 10 m/s while doing this, determine their acceleration while taking the turn." v=Δx/Δt...

Homework Statement "The Space shuttle is located in a low orbit at a distance of 1.6 x 10^5 m above the surface of the earth. If gravity is the only force acting on the shuttle, what is the shuttle's speed while in this orbit?" Variables: Shuttle Velocity = ? r = 1.6e5 + 6.38e6...

[b]1. This is more of a general question about a lab report I'm doing: The purpose of this lab is to find if the acceleration of a person sitting on the end of a steel beam is moving at a constant acceleration, if they aren’t accelerating, or if acceleration changes with time. I have all my...

Homework Statement A stone at the end of a sling is whirled in a vertical circle of radius 1.20 m at a constant speed v0 = 1.50 m/s. The center of the sling is 1.50 m above the ground. What is the range of the stone if it is released when the sling is inclined at 30 degrees with the...

Homework Statement Observing an orbit of Earth around the sun, calculate the centripetal acceleration of Earth. Homework Equations Fc = mv^2/R Only the distance aka radius was provided, to be 1.496x10^11m. The Attempt at a Solution No mass of Earth provided.

Homework Statement What would Earth's rotation period have to be for objects on the equator to have a centripetal acceleration equal to 9.8 m/s^2? ____ min Homework Equations Centripetal acceleration is equal to velocity * (2PI/T), where T is the period in seconds. The...

Homework Statement A computer is reading data from a rotating CD-ROM. At a point that is 0.030 m from the center of the disc, the centripetal acceleration is 120 m/s2. What is the centripetal acceleration at a point that is 0.050 m from the center of the disc? Homework Equations ac =...

A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r. A passenger feels the seat of the car pushing upward on her with a force equal to three times her weight as she goes through the dip. If r = 22.0 m, how fast is the roller coaster traveling at the...

Homework Statement A coin is placed on a record that is rotating at 33.3 rpm. If the coefficient of static friction between the coin and the record is 0.2, how far from the center of the record can the coin be placed without having it slip off? Homework Equations mv^2/r = mg(mu)...

Homework Statement Ok, I am a straight A student in math so you think Physics would be easy right? Not exactly. I really need someone to explain this stuff to me. Its probably really easy if it was explained to me correctly but my teacher is not the best when it comes to breaking things...

I find the equation for centripetal acceleration non-intuititive. V^2/r tells me velocity is multiplied by the velocity ( which at this stage is usually a very large number) then this is divided by the radius.. Leaves me with subdivisions that happen to equal the rate of acceleration..Dubious...

Homework Statement A) In Larry Niven’s science fiction novel Ringworld, a ring of material or radius 1.54 × 1011 m rotates about a star with a rotational speed of 1.4 × 106 m/s. The inhabitants of this ring world experience a normal contact force ~n. Acting alone, this normal force would...

Homework Statement In a certain accelerator, protons of kinetic energy 1.6 x 10^-7 J move round a circular path of diameter 2000m . Calculate: (a) the centripetal acceleration (b) the mass ans for a is 9x10^13 ms-2, for b is 1.78 x 10^-24 kg Homework Equations centripetal...

A ball of mass m is suspended from a rope of length R. The ball is set into freely swinging circular motion in a vertical plane. The centripetal acceleration of the ball at the top of the circle is 13g. The centripetal acceleration of the ball at the bottom of the circle is closest to: A...

Hi, I basically just have a concept question, if the tangential acceleration of an object is zero, can at the same time its centripetal acceleration be nonzero?

Homework Statement 6. A car of mass 1750 kg rounds a circular turn of radius of 21 m. The road is flat and the coefficient of kinetic friction between the tires and the road is 0.3, while the coefficient of static friction is 0.76. How fast can the car go without skidding? Homework...

Homework Statement Consider the radius of the Earth to be 6.38×106 m. What is the magnitude of the centripetal acceleration experienced by a person (a) at the equator and (b) at the North Pole due to the Earth's rotation? Homework Equations a = V^2 / r The Attempt at a Solution I...

Homework Statement Young David who slew Goliath experimented with slings before tackling the giant. He found that he could revolve a sling of length 0.800 m at the rate of 6.00 rev/s. If he increased the length to 1.100 m, he could revolve the sling only 4.00 times per second. (a) What is the...