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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    Help with ratios of velocity and centripetal acceleration

    I really need some help with this question. Until now this is the first question I have ever seen like this and I am getting marked on it. here it is: Two racing cars of masses M1 and M2 are moving in circles of radii R1 and R2. Their speeds are such that they each make a complete circle in...
  2. W

    Need help with centripetal acceleration questions

    1. A cyclist accelerates from rest at a rate of 0.80 m/s^2. How fast will a point on the top of the tire rim (diameter = 68cm) be moving after 4.0 s? (hint: At any given moment, the lowest point on the tire is in contact with the ground and hence is at rest.) 2. What is the max speed with...
  3. W

    Centripetal Acceleration at 60 degrees

    Can't quite figure out how to start this problem. If Earth's radius is 6378 km and has a period of 24 hrs. find: a) centripetal acceleration of a particle at the equator. I did this and got 0.03 m/s^2, but I can't figure out how to start the second part. b) the centripetal...
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    Formula for centripetal acceleration

    The formula for centripetal acceleration might help: a = \frac{v^2}{r} toward the center of the circle. cookiemonster
  5. A

    Question regarding Centripetal Acceleration

    Hi I'm doing a lab report on centripetal acceleration and we are asked to find the centripetal acceleration using 2 formulas. (1)Acceleration Centripetal=Force Centripetal/Mass (2)Acceleration Centripetal=Velocity^2/Radius I get answers that are very close but I also have to answer the...
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    Centripetal Acceleration lab graph

    I have a lab that needs a graph, and my calculations seem logical, but I need some affirmation. In this lab we spun a string with a stopper attached at one end and some weights at the other end. We had to keep a part of the string at the same point while spinning and therefore it moved at a...
  7. L

    Centripetal acceleration: derivation of a= v2/r

    Can anyone please tell me how the formula for centripetal acceleration (a=v2/r) is derived?
  8. S

    Centripetal acceleration of a car in a loop

    A car travel in a loop when the car reach the top of the loop it's upside down. The radius of the loop stay the same but the velocity changes. I need to find the minimum velocity at the top of the loop without the car falling of the loop. Why does the centripetal acceleration of the car at the...
  9. N

    Centripetal Acceleration calculation help

    a) calculate the centipetal acc at the tip of a 4.00 m long helicopter blade that rotates at 300 rpm. 300 rpm = 31.42 rad/s = w Centrip Acc = rw^2 Ac = (3.41 rad/s)^2 * 4 m Ac = 3948.87 m/s^2 b)compare linear speed of the tip with the speed of sound which is 340 m/s v=rw v =...
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    Help With Centripetal Acceleration *

    ******help With Centripetal Acceleration******* would someone PLEASE BE KIND ENOUGH TO PROVIDE ME WITH AN EXPLANATION OF CENTRIPETAL ACCELERATION? KINDA LIKE A SUMMARY OF THE TOPIC. EXAMPLES AND FORMULAS WOULD BE VERYYYYYYYYYYYYYYYYYYYYY APPRECIATED THANK YOU. PLEASE REPLY SOONNNN
  11. F

    Calculating Centripetal Acceleration of Stone

    The problem reads, A boy whirls a stone in a horizontal circle, 1.6m above the ground, by means of a string. The radius of the circular motion is 1.0m. The string breaks and the stone hits the ground 5.0m from the point directly below where the string broke. What was the magnitude of the...
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