Radial acceleration Definition and 86 Threads

Homework Statement A ball swings in a vertical circle at the end of a rope 1.30 m long. When the ball is 36.1° past the lowest point on its way up, its total acceleration is (-22.5 i + 20.2 j) m/s2. (a) Determine the magnitude of its radial acceleration. (b) Determine the speed and velocity...

Homework Statement A particle moves with a constant angular acceleration Alpha in a circular path. The time at which the magnitude of tangential and radial accelerations are equal is a) 1/Alpha b) Sq.root Alpha c) 1/Sq.root Alpha d) Alpha Homework Equations The Attempt at a Solution...

Homework Statement A small body of mass 0.51 kg is attached by a 0.52 m long cord to a pin set into the surface of a frictionless table top. The body moves in a circle on the horizontal surface with a speed of 2.1π m/s. (a) What is the magnitude of the radial acceleration of the body...

Hello, I was trying to do this problem and then I looked at the solution manual and found something that confused me. I am having trouble distinguishing between centripetal and radial acceleration. According to the equation in the book a_r=-a_c, which kind of confuses me. Isn't a centripetal...

This is a very basic question, and not specific to one single homework assignment, but general to many similar types of problems. If an object is moving in a wheel (like a ferris wheel), I understand how to determine its radial acceleration. But if a problem simply asks for the objects...

This was actually an old problem I got wrong. Homework Statement ) A skateboarder rolls down a semicircular ramp (half pipe) of radius 4.0m, starting from rest at the top of the ramp (figure 1). Assuming the surface to be frictionless, calculate his radial and tangential acceleration...

Homework Statement The Milky Way galaxy (including the sun) rotates about its center with a period of 200 million years. The sun is approx. 2 X 10^20m from the center of the galaxy. What is: A) The radial acceleration of the sun? B) What is the net gravitational force on the Sun due to other...

Homework Statement A ball swings in a vertical circle at the end of a rope 1.50 m long. When the ball is 37.5° past the lowest point on its way up, its total acceleration is (-22.5 i + 20.2 j) m/s2. The Attempt at a Solution Determine the magnitude of its radial acceleration. My...

Hello, This is my problem and the solution from the book. I don't understand how they came to the solution. I believe it's wrong and I offer my own solution(but incomplete). I would appreciate if you could explain how they arrived to their solution or if I'm right. Thanks:) Please see below...

Homework Statement A train slows down as it rounds a sharp horizontal turn slowing from 90.0km/h to 50.0km/h in the 15.0s that it takes to round the bend. The radius of the curve is 150m. Compute the acceleration at the moment the train reaches 50.0km/her. Assume it continues to slow down at...

Homework Statement As a locomotive rounds a circular curve of radius 1.80 km, its speed is increasing at a rate of 0.440 m/s2. An instrument in the cab (an accelerometer) indicates that the magnitude of the locomotive's total acceleration at a particular instant is 0.680 m/s2. What is the...

Consider a planet of radius 5.53X10^6 m with a rotation period of 24.3 hours. Compute the radial acceleration of a point on the surface of the planet at the equator due to its rotation about its axis. What is the Radial Acceleration. I found out that the formula for radial acceleration is...

Homework Statement Consider a planet of radius 7.31 x 10^6 m with a rotation period of 25.4 hours. Compute the radial acceleration of a point on the surface of the planet at the equator owing to its rotation about its axis. Homework Equations T = [2(pi)r]/v a_r = -[(v^2)/r] The...

Homework Statement A car at the Indianapolis 500 accelerates uniformly from the pit area, going from rest to 250 km/h in a semicircular arc with a radius of 230 m. Determine the tangential and radial acceleration of the car when it is halfway through the turn, assuming constant tangential...

Homework Statement Objects that are at rest relative to Earth's surface are in circular motion due to Earth's rotation. What is the radial acceleration of a painting hanging in a museum at a latitude of ϕ = 38.9° North? (Note that the object's radial acceleration is not directed toward the...

Homework Statement In the case of a speeding particle undergoing circular motion: a) the tangential acceleration is int he direction of the velocity vector and the radial acceleration points in the direction of the position vector b)the tangential acceleration is perpendicular to the...

Howdy all, I had a quick question: An example problem in my physics book (Physics for Scientists and Engineers, 6th edition, Serway and Jewett) is going over tangential and radial acceleration (it is example 4.9, if you've got a copy lying around). The question is as follows: A car...

Hey guys, Been given this formula for radial acceleration, I am not sure how they derived it. I have tried but the only forumla I know is a(radial) = v^2/r A_{r} = \ddot{r} - r\dot{\theta}^{2}EDIT - should be minus not plus

Consider a planet of radius 5.53 106 m with a rotation period of 24.3 hours. Compute the radial acceleration of a point on the surface of the planet at the equator due to its rotation about its axis. What is the Radial Acceleration. the formula I have is (4Pi^2R/T^2)

Homework Statement This is a concept/procedure question. I am playing teth3rbalI with a 1 kilogran ball and it is tied to a meterlong string. When I hit the ball it circles the pole at 1.6 Hz. Find the anglethat the string makes with thepole. Homework Equations a_{r}=v^{2}/r...

This may seem like a silly way to second-guess an answer, but the problem below seems to have an answer entirely too easy to obtain. O_o And I doubt that I'm getting any better. An athlete rotates a 1.00-kg discus along a circular path of radius 1.06m. The maximum speed of the discus is...

a ball swings in a vertical circle at the end of a rope 1.5m long. when the ball is 26.9 degrees past the lowest point on its way up, its total acceleration is -22.5i+20.2j. at that instant (b) determine the magnitude of its radial acceleration isnt the magnitude of Ar... +20.2m/s^2 ? The...

This is from an example in a book: On a horizontal turntable that is rotating at constant angular speed, a bug is crawling outward on a radial line such that its distance from the center increases quadratically r=bt^2, \theta=\omegat where b, \omega are constants. The example then solves for...

I know the equation (\frac{v^2}{r}) but what is the description of radial acceleration? I saw couples of internet sites but I don't get it. Can someone explain it to me in a dull way and use typical examples of this? Thanks:smile:

An unbanked circular highway curve on level ground make a turn of 90 degree. The highway carries traffic at 60 mph, and the centripetal force on a vehicle is not to exceed 1/10 of its weight. What is the minimum length of the curve in miles? I am working towards the arc contained within...

well this problem is killing me and I've spent a good 3 hours or so on it and still have no real results. This is the problem The 4.00-kg block in the figure View Figure is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings...

A railway engine of mass 120 tons travels round a curve of radius 220 yards at a speed of 25 miles per hour. Find in tons weight the radial force acting on the engine. If the resultant of the radial force and the weight of the engine acts in a direction normal to the plane of the track, and the...

Sir, When a torque is applied to a body undergoing uniform circular motion, will the radial acceleration be constant?

Hi all! Brand new to these forums. Hopefully I fit in. I'm in my first physics class ever this semester. Physics 1301 Heat and Mechanics. I'm having a hard time keeping up with everything. I'm looking for some help with a few questions of my homework, because I'm just stuck. 1)The radius of...

Find the required angular velocity of an ultracentrifuge in \frac{rev}{min} for the radial acceleration of a point 1.00 cm from the axis to equal 400,000g (that is, 400,000 times the acceleration of gravity.) So a_{rad} = (\omega)^{2}r . 400,000g = \omega^{2}(0.01 m) . Would I just solve...

a)Compute hte radial accleration of a point at the equator of the earth. b)repeat for the north pole of hte earth. Take the radius of the eartk to be 6370 km. so for a) i got 9.9337 m/s square which is right but for b) the answer is just zero why?

A train slows down as it rounds a sharp horizontal turn, slowing from 90.0 km/h to 50.0 km/h in the 15.0 s that it takes to round the bend. The radius of the curve is 150 m. Compute the acceleration at the moment the train speed reaches 50.0 km/h. Assume it continues to slow down at this time at...

Please help! I'm having trouble understanding this rotation problem. At a time 2.60 s, a point on the rim of a wheel with a radius of 0.240 m has a tangential speed of 50.0 m/s. as the wheel slows down with a tangential acceleration of constant magnitude 10.7m/s^2 . At what time will the...

I need to find the radial acceleartion of the Earth @ the equator a=v^2/r a= [1041m/s)^2]/6378000m a= 0.17 m/s^2 is this correct?

I need to calculate the radial acceleration of Earth @ the equator a=v^2/r a= [1041m/s)^2]/6378m a= 169.9 m/s^2 is this correct?

I wanted to konw what is the least amount of knowns you need to solve a radial acceleration problem? My friend told me he was given a problem where a care was traveling over a bump and the only known he had was the speed of the care, no radious, no nothing. And the question was to solve for...