What is Centripetal acceleration: Definition and 411 Discussions

In mechanics, acceleration is the rate of change of the velocity of an object with respect to time.
Accelerations are vector quantities (in that they have magnitude and direction). The orientation of an object's acceleration is given by the orientation of the net force acting on that object. The magnitude of an object's acceleration, as described by Newton's Second Law, is the combined effect of two causes:

the net balance of all external forces acting onto that object — magnitude is directly proportional to this net resulting force;
that object's mass, depending on the materials out of which it is made — magnitude is inversely proportional to the object's mass.The SI unit for acceleration is metre per second squared (m⋅s−2,






m

s

2







{\displaystyle {\tfrac {\operatorname {m} }{\operatorname {s} ^{2}}}}
).
For example, when a vehicle starts from a standstill (zero velocity, in an inertial frame of reference) and travels in a straight line at increasing speeds, it is accelerating in the direction of travel. If the vehicle turns, an acceleration occurs toward the new direction and changes its motion vector. The acceleration of the vehicle in its current direction of motion is called a linear (or tangential during circular motions) acceleration, the reaction to which the passengers on board experience as a force pushing them back into their seats. When changing direction, the effecting acceleration is called radial (or orthogonal during circular motions) acceleration, the reaction to which the passengers experience as a centrifugal force. If the speed of the vehicle decreases, this is an acceleration in the opposite direction and mathematically a negative, sometimes called deceleration, and passengers experience the reaction to deceleration as an inertial force pushing them forward. Such negative accelerations are often achieved by retrorocket burning in spacecraft. Both acceleration and deceleration are treated the same, they are both changes in velocity. Each of these accelerations (tangential, radial, deceleration) is felt by passengers until their relative (differential) velocity are neutralized in reference to the vehicle.

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  1. C

    How Do You Calculate Centripetal Acceleration and Friction for a Car on a Curve?

    Homework Statement A 13500 N car traveling at 50.0 km/h rounds a curve of radius 2.00x10^2 m. Find the following: a). The centripetal acceleration of the car. b). The force that maintains centripetal acceleration c). the minmum coefficient of static friction between the tires and the road...
  2. M

    What Is the Centripetal Acceleration of a Race Car on a Circular Track?

    HELP...new physical science student seeking to understand physics. Can you help me with this problem A race car goes around a level, circular track with a diameer of 1.00 km at a constant speed of 90.0 km/h. What is the car's centripetal acceleration in m/s2? Marla
  3. S

    Finding the velocity for a given centripetal acceleration

    THE PROBLEM: (my own words) For a rotating circle with radius 2.10cm, the centripetal acceleration on the rim must be 100g. In revolutions per minute, what is the rate of rotation required? MY SOLUTION: 1. Centripetal acceleration is given by a_c = \frac{v^2}{r} and so \frac{v^2}{0.021} =...
  4. N

    Help with Centripetal Acceleration

    please help: The Bohr model of the hydrogen atom has the proton located in the nucleus with the electron orbiting it at a radius of 5.29 x 10^-11m. a- What force does the electron experience due to the proton? b- what is its centripetal acceleration i already figured out part a which is...
  5. C

    How Do You Calculate the Speed and Centripetal Acceleration of a Satellite?

    "An Earth satellite moves in a circular orbit 597 km above Earth's surface with a period of 96.42 min. What are (a) the speed and (b) the magnitude of the centripetal acceleration of the satellite?" Ok, so first I converted everything to standard units. I made a circle diagram with radius...
  6. A

    Centripetal acceleration car problem

    Homework Statement A race car starts from rest on a circular track of radius 400m. The car's speed increases at the constant rate of .5m/s^2. At the point where the magnitudes of the centripetal and tangential accelerations are equal, determine a) the speed of the race car, b) the distance...
  7. R

    Centripetal Acceleration and induction roller coaster

    We are to design the track for an induction roller coaster. To create an inital thrill, we want each passenger to leave the loading point with acceleration g along the horzontal track. To increase the thrill, we also want that first section of track to form a circular arc, so that the...
  8. T

    Centripetal Acceleration amusement park ride Question

    :smile: An amusement park ride consists of a round room. Once you are placed against the outer wall, the room begins to spin. After the room attains a critical rotational speed, the floor drops out, but you remain against the wall. The radius of the room is 30m, and the coefficient of...
  9. K

    2 centripetal acceleration problems

    Any help would be greatly appreciated...:cry: It has been suggested that rotating cylinders about 10 mi long and 5.0 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall...
  10. V

    Conservation of Energy/ Centripetal Acceleration HELP

    A particle of mass m slides down a fixed, frictionless sphere of radius R. starting from rest at the top. a. In terms of m, g, R. and theta, determine each of the following for the particle while it is sliding on the sphere. i. The kinetic energy of the particle ii. The centripetal...
  11. M

    How Do You Calculate the Centripetal Acceleration of a Salad Spinner?

    There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a cylindrical container mounted so that it can be rotated about its axis by turning a hand crank. The outer wall of the cylinder is perforated with small holes. You put the wet leaves in the container...
  12. F

    Solving Centripetal Acceleration for Banked Turns

    Hey there. I took Physics B last year, but for some reason we never covered the banked turns when it comes to centripetal acceleration. So I need a bit of help on these two: A curve with a 100 m radius on a level road is banked at the correct angle for a speed of 16 m/s. If an automobile...
  13. U

    What is the magnitude of the centripetal acceleration

    Hi, I have a question regarding centripetal acceleration that I'm not certain on how to solve. I was hoping if anyone may please help me out with this question. Thanks. Question: a) What is the magnitude of the centripetal acceleration of an object on Earth's equator due to the rotation of...
  14. P

    Classical mechanics: centripetal acceleration

    I need some help with centripetal acceleration. why when an object is whirling in a vertical circle,it must have a centripetal acceleration larger than 'g' in order for it to get to the top of the circle? what if I give it just enough speed to get to the top(so when it gets to the top,it's...
  15. V

    Centripetal acceleration of Neutron stars

    Neutron stars represent the final stage of life for some massive stars. Typically, they have radii of 10 km. Determine the magnitude of the centripetal acceleration for a piece of neutron star matter on the star surface at the equator (so the matter moves in a circle of radius 10km). Assume...
  16. S

    Centripetal Acceleration of astronaut

    Anyone know how to do this? An astronaut is rotated in a horizontal centrifuge at a radius of 8.0 m. (a) What is the astronaut's speed if the centripetal acceleration is 7.0g? (b) How many revolutions per minute are required to produce this acceleration? (c) What...
  17. B

    Automobile Centripetal acceleration

    The cornering performance of an automobile is evaluated on a skidpad, where the maximum speed that a car can maintain around a circular path on a dry, flat surface is measured. Then the centripetal acceleration is calculated as a multiple of "g", the free-fall acceleration due to gravity at the...
  18. N

    Earths Centripetal Acceleration Effects

    It's my belief that if some one was at the equator or the south pole there weight might be differernt Sum of F = m a = mg- N a = v^2/r at the pole the distance from person to rotational axis is 0 so a= 0 and then mg = N On the equator the velocity can be calculated from 24 hours to go...
  19. C

    Can a String Be Perfectly Horizontal in a Centripetal Acceleration Experiment?

    Iam doing on In this laboratory, you will investigate the centripetal acceleration of a horizontally rotating object. lab report. on this lab they asking one question ... Would it be possible to get the string holding the rubber stopper to be PERFECTLY HORIZONTAL during this experiment...
  20. D

    Centripetal Acceleration of roller-caster vechicle

    A roller-caster vechicle has a mass of 500 kg when fully loaded with passengers (Fig P7.28) (a) If the vechile has a speed of 20.0 m/s at point A, what is the force of the track on the vehicle at this point? (b) What is the maximum speed the vehicle can have at point B in order for gravity to...
  21. D

    How Does Centripetal Force Affect Roller Coaster Dynamics?

    A roller-caster vechicle has a mass of 500 kg when fully loaded with passengers (Fig p7.28) (a) If the vechile has a speed of 20.0 m/s at point A, what is the force of the track on the vehicle at this point? (b) What is the maximum speed the vehicle can have at point B in order for gravity to...
  22. R

    Centripetal Acceleration of Rock Problem

    Hi Everyone! I've been working on this Physics problem for the last week and I still can not figure it out! I'm sure I'm missing some very basic concept, but I'm not sure how to proceed: An Australian bushman hunts kangaroos with the following weapon - a heavy rock is tied to one end of a...
  23. S

    Can't Seem To Get It Right: Solving Centripetal Acceleration Equation

    What I'm doing seems like it should work, but I can't seem to get it right. I'm sure I'm doing the math right, but I have a feeling I'm answering something that's not being asked. I would just like some help on setting up the equation right. A car starts from rest on a flat circular track...
  24. C

    Centripetal acceleration and KE problem

    The question and information given is - "The formula for the centripetal acceleration experienced by a body moving at speed v in a circle of radius r is ac = v squared / r A small mass m slides without friction along a loop-the-loop track. The circular loop has radius R. The mass starts...
  25. N

    What is the Velocity of a Person at the Equator?

    :confused: Given: r(Earth)=6.37*10^6 m m(earth)=5.98*10^24 kg r(moon)=1.74*10^6m g=9.8 m/s^2 G=6.67259*10^-11 Nm^2/kg^2 Calculate the speed of a 97.4kg person at the equator. do u...
  26. M

    Find the centripetal acceleration of the yoyo

    hey evr1...i have been trying to do this quest...but somehow can't get it...any help is really appreciated..thnx a child swings a yoyo of weight mg in a horizontal circle such tht the cord makes an angle of 30 with the vertical. find the centripetal acceleration of the yoyo. (g=10m/s/s)...
  27. M

    What is the Centripetal Acceleration of a Yoyo on a Horizontal Swing?

    hey evr1...i have been trying to do this quest...but somehow can't get it...any help is really appreciated..thnx a child swings a yoyo of weight mg in a horizontal circle such tht the cord makes an angle of 30 with the vertical. find the centripetal acceleration of the yoyo. (g=10m/s/s)...
  28. S

    Centripetal Acceleration Problem

    Hello, I am having the worst time figuring out how to solve this problem: A student build and calibrates an acclerometer, which she uses to determine the speed of her car around a certain unbanked highway curve. The accelerometer is a plumb bob with a prtractor that she attaches to the roof...
  29. T

    Centripetal acceleration and friction

    In a "rotor-ride" at a carnival, people are rotated in a cylindrically walled "room." The room radius is 4.6 m, and the rotation frequency is .5 revolutions per second when the floor drops out. What is the minimum coefficient of static friction so that the people will not slip down? I am...
  30. A

    Friction + centripetal acceleration problem

    A small cube of mass m is placed on the inside of a funnel rotating about a vertical axis at a constant rate of w revolutions per second. The wall of the funnel makes an angle theta with the horizontal. The coefficient of static friction between cube and funnel is u and the center of the cube is...
  31. A

    Centripetal acceleration problem

    ok i have this problem A train traveling at a constant speed rounds a curve of radius 375 m. A chandelier suspended from the ceiling swings out to an angle of 18.0° throughout the turn. What is the speed of the train? so far i have 9.8sin(18)=(v^2)/375 v^2/R being force and i got V=33.7...
  32. R

    Centripetal Acceleration again

    Hey all - I've got a problem that's rather encompassing... The second hand and the minute hand on one type of clock are the same length. What is the period T of the motion for the second hand and for the minute hand? It goes on to say the centripetal acceleration is given by a_c =...
  33. D

    Proving centripetal acceleration formula

    Hi I was taught about centripetal accerleration last class, but my teacher didn't tell me why or how this formula works. So I was wondering if anyone knows a website that has mathematical proof of this formula. Thanks in advance.
  34. R

    More with Centripetal Acceleration

    Hey again all - I think I have another problem where my math skills just aren't cutting it -- Kitchen gadget that dries lettuce leaves by spinning them, the radius of the container is 10 cm and it is rotating at 1.9 revolutions per second. Magnitude of centripetal acceleration at the wall...
  35. P

    What is the centripetal acceleration of the child?

    Hey guys, I'm new here and my name's Tracy. I just found out about this site and i think its fabulous. Anyway i had a question and did'nt exactly know where to post it so if this is the wrong forum to post it I'm sorry. Could somebody help me out and solve this question for me. Q. A...
  36. P

    Centripetal acceleration and ferris wheel

    A Ferris wheel consits of a giant wheel that rotates slowly in a vertical plane. people sit upright in chairs ont he ferris wheel. The type of force that provies the centripetal acceleration for the people at the top of the wheel as it rotates is called: A.) gravity or B.) normal i'm...
  37. H

    What is the relationship between radius and period for centripetal acceleration?

    For centripetal acceleration, what is the relationship between the radius and the period?
  38. S

    What is the maximum angle for a bob to slide upwards in a rotating funnel?

    Ok have a look at the diagram below A bob of mass m is on the inside of a funnel. The funnel is rotating with an angular velocity omega. The walls of the funnel has a friction coefficient of mu The question is Show that there is an angle theta = theta max for which the bob cannot slide...
  39. B

    Centripetal acceleration of car around curve

    A highway curves to the left with radius of curvature R = 25m. The highway's surface is banked at 27 degrees so that cars can this curve at higher speeds. Consider a car of mass 1800kg whose tires have a static friction coefficient of 0.62 against the pavement. Take g=9.8. How fast can the...
  40. RadiationX

    Centripetal acceleration problem

    I have the solution to this problem but I'm not understanding the concept behind the solution. An object moves at constant speed along a circular path in a horizontal xy plane,with the center at the origin.When the object is at x=-2m its velocity is -(4m/s) in the J (hat) direction...
  41. P

    Centripetal acceleration of Earth around Sun?

    New question: centripetal force? I can't seem to get the right answer... R = 1.50 x 10^11 and I figure that 1 day/rev = 86400 sec/rev So: \frac {2 \pi 1.50 * 10^{11}}{86400} is the velocity, and then plug that into \frac {v^2}{r} but I keep on getting 700 something..what am I doing...
  42. C

    Earth's varying centripetal acceleration

    Hi, I've got a problem that I'm working on that is stated as follows: Earth's elliptical orbit around the sun brings it closest to the sun in January of each year and farthest in July. During what month would Earth's (a) speed-and (b) centripetal acceleration be greatest? Now, using...
  43. B

    Need help w/ centripetal acceleration lab questions

    These questions are from a lab we just did. 1. Why is an unbalanced force required to produce circular motion? 2. The ratio of squared velocity to radius is a constant. In other words, the centripetal acceleration did not change as the radius changed. Explain. 3. In an amusement park...
  44. S

    Physics Homework Problem: Linear speed and Centripetal Acceleration

    The front and rear sprockets on a bicycle have radii of 9.00 and 5.10 cm, respectively. The angular speed of the front sprocket is 8.60 rad/s. (a) Determine the linear speed (in cm/s) of the chain as it moves between the sprockets. cm/s (b) Determine the centripetal acceleration (in...
  45. S

    Physics Hwk Problem: Centripetal Acceleration

    A ceiling fan has two different angular speed settings: w1 = 485 rev/min and w2 = 120 rev/min. What is the ratio (a1/a2) of the centripetal accelerations of a given point on a fan blade? How would I go about solving this problem?
  46. W

    What force must provide the centripetal acceleration of the block?

    physics help! Ok here's the question: A block is hung by a string from the inside roof of a van. When the van goes straight ahead at a speed of 28m/s, the block hangs verticaly down. But when the van maintains this same speed around an unbanked curve of radius 150m, the block swings toward...
  47. H

    Centripetal acceleration of the stone

    Would someone please show me how to do these problems below. Thanks. 1) An Earth satellite moves in a circular orbit 640km above Earth's surface w/ a period of 98.0min. What are (a) the speed and (b) the magnitude of the centripetal acceleration of the satellite? 2) a boy whirls a stone...
  48. A

    Circular Motion and Centripetal Acceleration

    I’m having trouble with ch3 #73 from Tipler/Mosca Physics for scientists and engineers 5th edition. I’ve tried a few things and I keep getting stuck. Am I taking the right steps? An object resting on the equator has an acceleration toward the center of the Earth due to the earth’s...
  49. S

    How Do You Calculate the Angle of a String in Circular Motion?

    A mass of 4.100 kg is suspended from a 1.430 m long string. It revolves in a horizontal circle. The tangential speed of the mass is 2.899 m/s. Calculate the angle between the string and the vertical (in degrees).
  50. A

    Centripetal acceleration calculation

    For this one question, I calculated the centripetal acceleration which is 3450m/s^2. This is correct, but the second question asks how many times larger is this centripetal acceleration compared to the acceleration due to gravity (9.8m/s^2)? They want the value in grams. How do I do this? I...
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