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.
A car starts moving on a circular track of radius 100m from rest at t=0. The tangential acceleration of the car is 0.1m/s2
Then find out the frictional force acting on the car at t=10s. It is given that the car is not skidding during this period and the mass of the car is 10\sqrt{2}.
I got...
Homework Statement
A car that is initially at rest moves along a circular path with a constant tangential acceleration component of 2.07 m/s2. The circular path has a radius of 48.1 m. The initial position of the car is at the far west location on the circle and the initial velocity is to the...
Homework Statement
A ball moves counterclockwise in a circle and is speeding up. The radius of the circle is 5 m.
Its angular acceleration is α, (2.09 rad/s2)\hat{k}
The ball's mass is 0.125 kg.
What is the tangential component of the force on the particle?
Homework Equations
The Attempt at...
Homework Statement
You are designing a centrifuge to spin at a rate of 15,180 rev/min.
(a) Calculate the maximum centripetal acceleration that a test-tube sample held in the centrifuge arm 15.2 cm from the rotation axis must withstand.
I found (a) by the formula v2/r and got approximately...
Homework Statement
A 2kg pendulum bob on a string 2 meters long is released with a velocity of 1.5 meters/second when the support string makes an angle of 30 degrees with the vertical. What is the tangential acceleration of the bob at the highest point of its motion? The answer was given as...
Ok let's say there is a pendulum and you start 45 degrees from the left and let go. I understand the farthest down point on the circle has the greatest velocity, but I don't understand why there is no tangential acceleration. Any help?
Homework Statement
Two formula on racing cars are negotiating a circular turn, and they have the same cent. acceleration. However, the path of car A has a radius of 48 m, while that of car B is 36 m. Determine the ration of angular sped of car A to the angular speed of car B.
Homework...
Homework Statement
There's a ride called the Cajun Cliffhanger. it's a rotating drum that rotates and makes you stick to the walls. here's are the infomation
The diameter is 5.3m
the speed is 4.2 seconds per rotation at final speed
it takes 10.1 seconds to reach the final speed
You have...
A 1500kg car starts from rest and drives around a flat 50m-diameter circular track. The forward force provided by the car's drive wheels is a constant 1300N. What is the magnitude of the car's acceleration at t=11s?
Homework Statement
A man walks steadily outwards on a turntable (radius r) with radial velocity v. The turntable rotates with angular velocity w and angular acceleration alpha (anti-clockwise). What is the tangential component of acceleration?
Homework Equations
radial acceleration =...
Homework Statement
An electric drill bit starts from rest and rotates with a constant angular acceleration. After the drill has rotated through a certain angle, the magnitude of the centripetal acceleration is twice the magnitude of the tangential acceleration. What is the angle?
Homework...
Homework Statement
A particle is moving clockwise in a circle of radius 2.50m at a certain instant in time its total acceleration is 15m/s^2. In the picture it shows the angle between the acceleration vector and radius is 30 degrees, and also there is a velocity vector with no value attached...
Homework Statement
a ball of 2.5kg revolves in a circle on a string with a radius of 0.9m. at the moment when the string makes an angle of 60 degrees below the horizontal, the ball's speed is 7m/s. at this specific point, what is the tangential acceleration?Homework Equations
A_t = r*angular...
I have computed angular speed, centripetal acceleration, and torque for a uniform circular motion.
What is the tangential acceleration?
I am leaning towards tangential a = r(alpha) where alpha is d(omega)/dt.
since I have calculated omega and a = dv/dt - I think its safe to
say that as...
Homework Statement
A small block of mass "m" slides on a frictionless horizontal surface as it travels inside of a hoop of radius "R". The coefficient of friction between the block and the wall is "u", therefore, the speed of the block decreases. In terms of "m", "R", "u", and "v" (the...
A car is tested on a 230 m diameter track.
If the car speeds up at a steady 1.2 m/s^2, how long after starting is the magnitude of its centripetal acceleration equal to the tangential acceleration?
it seems simple, but i just can't seem to get it!...
find: change in time when centripetal...
Homework Statement
A point on a rotating turntable 21.5 cm from the center accelerates from rest to a final speed of 0.800 m/s in 1.75 s. At t = 1.28 s, find the magnitude and direction of each of the following.
Homework Equations
(a) the radial acceleration
(b) the tangential...
Homework Statement
An object of mass m is constrained to move in a circle of radius r. Its tangential acceleration as a function of time is given by a_{tan} = b + ct^2, where b and c are constants.
A) If v = v_0 at t = 0, determine the tangential component of the force, F_{\tan }, acting on...
[b]1. A coin placed on a 12" record will revolve with the record when it is brought up to a speed of 33.33 rpm. Provided the coin is not more than 4" from the axis...
[b]2. a) What is the coefficient of static friction between the coin and the record?
[b]3. I have calculated the...
What is the force that is responsible for the tangential acceleration? And how does this acceeleration work. I mean this must increase the object's linear velocity right? Since it acts parallel to it. Can someone help clarify this for me.
Thanks
Im a little fuzzy on the difference between the two. If you look at the attached picture, if that force stays with the object as it rotates, like a hand pushing in the same spot, would that force cause an angular acceleration?
How do you find the Magnitude of tangential acceleration if you have uniform circular motion? I know the formula for Tangential Acceleration; however I have no clue how to apply it to determine the Magnitude?
Homework Statement
(a) What is the tangential acceleration of a bug on the rim of a 12.0 in. diameter disk if the disk moves from rest to an angular speed of 75 revolutions per minute in 3.0 s?
(b)When the disk is at its final speed, what is the tangential velocity of the bug?
(c) One...
[SOLVED] Finding friction from tangential acceleration
Homework Statement
A car traveling on a flat (unbanked) circular track accelerates uniformly from rest with a tangential acceleration of 2.25 m/s^2. The car makes it one quarter of the way around the circle before it skids off the...
Okay. So I've got three cars that are traveling along a hilly road. One is at the beginning, where its flat, one is at the bottom of the hill, one is at the top. Each is traveling at 21 m/s. I am supposed to find tangential acceleration for each.
I tried:
a = v^2 / r but that is radial...
Three cars are driving at 29.0m/s along the road shown in the figure. Car B is at the bottom of the hill and car C is at the top. Suppose each car suddenly brakes hard and starts to skid. What are the tangential accelerations of Cars A B and C.
Here should be the picture...
Homework Statement
A uniform rod of length 1.4 m is attached to a frictionless pivot at one end. It is released from rest from an angle θ = 23° above the horizontal. Find the magnitude of the initial acceleration of the rod's CM.
Homework Equations
At = alpha * r
The Attempt at a...
A car speeds up as it turns from traveling due South to due East. Exactly halfway around the curve, the car's acceleration is 3.40m/s^2, 30.0º north of east.
We are supposed to find the radial and tangential components of the acceleration at the halfway point.
I thought that I...
A train slows down at a constant rate as it rounds a sharp circular horizontal turn. Its initial speed is not known. It takes 17.7 s to slow down from 68 km/h to 26 km/h. The radius of the curve is .184 km. As the train goes around the turn, (a) what is the magnitude to the tangential...
So, I attached a photo of what the figure given looks like. Here is the corresponding problem:
The figure represents the total acceleration of a particle moving clockwise in a circle of radius 2.50 m at a certain instant of time. At this instant, find (a) the radial acceleration, (b) the...
Hello, I'm having problem finding tangential acceleration. I was trying to find some examples of this being done in my book and on the web, but I couldn't. So I hope someone can help me with this.
The problem is: "A point on a rotating turntable 20.0cm from the center accelerates from rest to...
EDIT: Tangential acceleration
Homework Statement
If a car drives around a race track constructed such that two arcs of radius A=80m and Radius B=40m are joined by two stretches of straight track at a constant speed of 50 m/s, what is the ratio of the tangential accelerations A to B...Meaning...
Homework Statement [/b]
A car at the Indianapolis-500 accelerates uniformly from the pit area, going from rest to
I can't get very far on this one. I know that tangential acceleration= change in velocity over change in time, but there is no time mentioned. I know it has something to do...
Homework Statement
My ENTIRE AP physics class is stumped on the way to correctly write the formula to find acceleration for a falling block (mass of "m") attached by a string (tension of "t") to a fixed, rotating pulley (mass of "M", radius of "r"). Our teacher told us that for a block...
Homework Statement
If the car starts at height h = 60.0 m and the radius is R = 15.0 m, compute the tangential acceleration of the passengers when the car is at point C, which is at the end of a horizontal diameter.
Take the free fall acceleration to be g = 9.80 m/s^2.
Homework Equations
The...
Homework Statement
A car in an amusement park ride rolls without friction around the track shown in the figure View Figure . It starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle.
If the car starts at height h = 72.0 m and the radius is R =...
A car is initially at rest. It starts mvoing with tangential acceleration a_tan along a flat circular track of radius r. If the coefficient of static friction is mu, determine the total distance traveled by the car before it skids off the track.
This is what I did.
I drew the free body...
A light rigid rod 1.0m long has a small block of mass.05kg attached at one end. The other end is pivoted, and the rod rotates in a vertical circle. At a certain instant, the rod is 36.9 degrees above the horizontal, and the tangential speed of the block is 4m/s. (a) What are the horizontal and...
Hello everyone,
I have two questions about this problem:
"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. s(seconds) that it takes to round the bend. The radius of the curve is 150 m. Compute the acceleration at the moment the train...
Problem:
A uniform rod of length L and mass M is pivoted at one end (O) and is released from rest in a horizontal position. The moment of inertia of the rod about one end is I = (mL^2)/3 . The initial tangential acceleration fo the far end A of the rod would be?
This is part of my review for my...
Can someone help me make sense of this problem?
Thanks.
A race car, starting from rest, travels around a circular turn of radius 23.7 m. At a certain instant, the car is still accelerating, and its angular speed is 0.571 rad/s. At this time, the total acceleration (centripetal plus...
Help with Homework?
1. 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?
2. A 980 Kg car traveling...
The flywheel of a steam engine runs with a constant angular speed of 425 rev/min. When steam is shut off, the friction of the bearings stops the wheel in 1.7 h.
At the instant the flywheel is turning at 75 rev/min, what is the tangential component of the linear acceleration of a flywheel...
Hmmm. I have a question...
We know that the tangential acceleration (At) is equal to the radius (R) multiplied by angular acceleration (Ar), of which At and Ar are vector components.
At = R Ar
Then I was told that Ar = At/R is not a vector equation. Why is that true?
~Seph :confused:
Any help would be greatly appreciated.
1. Two swimmers, John and Emma, start together at the same point on the bank of a wide stream that flows with the speed c (c>v), relative to the water. John swims downstream a distance L and then upstream the same distance. Emma swims so that her motion...