Questions tagged [acceleration]

The rate of change of velocity of a body per unit of time.

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How can I derive the acceleration from 2 coordinates?

I am trying to derive the acceleration between 2 points. For example if I had (90.39, 44.99), (90.4, 44.97) and the time span was 0.1s. I get how to calculate the speed but how could I calculate the ...
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Normal acceleration in a particular curve

A friend of mine sent me the following problem: A small ball is rolling down a curve of equation $f(x)=1-0.5 \sqrt{(4-x^2)}$ . At the point A ($x=1.5$ m) the ball has a velocity of $12$ m/s, which ...
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Is centripetal acceleration independent of linear acceleration in accelerated circular motion?

Can we say that there is a relationship between them, or are they independent of each other? why? Like does $a_c=v^2/r$ imply $a_c$ and $a_{tangential}$ are related? I am very confused by this ...
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Can the relativistic transformation for acceleration be applied to time-varying as well as constant accelerations measured by inertial observers?

I know that, traditionally, acceleration transformations are used for when accelerations are constant from the viewpoint of inertial observers. For example, if a rocket, away from any gravitational ...
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Why we need a Skew-symmetric matrix to define acceleration?

Peoples ! Thanks you for your time. I have a question about acceleration equation. $$\begin{bmatrix}f_{x}\\ f_{y}\\ f_{z}\end{bmatrix}=\begin{bmatrix}\dot{u}\\\dot{v}\\ \dot{w}\end{bmatrix}+\begin{...
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Finding the four-velocity

I'm a math student who also takes physics classes despite being pretty clueless in it. The first homework assignment is due in a few days and our professor failed to explain some of the terms used in ...
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Acceleration of a satellite orbiting Mars

I am studying how a satellite would move in orbit around Mars. I have calculated the velocity of its movement. However, if the gravity of Mars is the only force affecting the movement of the satellite,...
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Frame of Reference in Kinematics

If we have two frames of reference, say S1 and S2, and the acceleration of a particle as seen from both the frames has equal magnitude, say 4 m/s^2, then shouldn't the frames have no relative ...
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What does the total acceleration from a linear accelerometer tell me?

Im trying to measure the acceleration of a heavy bag in martial arts when it is hit. If I am using an linear accelerometer that is strapped to the heavy bag and tells me x, y, z and the total values ...
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How can we know direction of blocks in pulley systems?

How can we find the direction of acceleration in pulley systems so that we can write equation of motion for different parts of the pulley system. Do we have to assume acceleration in some particular ...
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Acceleration of a falling object as it hits the ground

I am pretty new to physics so forgive me if this seems like a really dumb question. My Physics I teacher is having us develop a solution to the question: You drop your laptop; what is its ...
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What am I not understanding about this double integration of acceleration to get position?

Brilliant.org has a module on classical mechanics and I'm having difficulty with a mathematical step. They want you to represent position in terms of acceleration and then to solve the double integral ...
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Two objects undergoing proper acceleration

Is there an inertial frame ($x'$, $t'$) in which two objects undergoing proper acceleration in the positive x-direction (e.g. starting from rest at $t=0$ from $x=0$ and $x=L$) where the two objects ...
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Adjusting Newton's laws with relativity concepts

I break my question into three parts, with increasing "guessing status". Please tell me which of them (is any) is correct. Suppose I am an observer in an inertial reference frame, away from all other ...
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Local and convective acceleration in a hurricane

I have spent some time thinking about (well, "procrastinating about") local and convective accelerations inside a hurricane. Such as here or in a static version (the image is from windy.com ): It is ...
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Is the acceleration produced by electrostatic repulsion quantized?

Say the universe at time $t_0=0$ consists of two electrons at rest, both of charge $q$, separated by some distance $r$. The repulsive force $F$ between them is $F = C q^2/r^2$ where $C$ is Coulumb's ...
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Could a mass of osmium be used to create a 0g room on Earth?

Is it possible for a super dense element (such as osmium) to cancel out earth's gravitational field, and create a room without gravitational acceleration?
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Clock postulate validity

As far as I understood, the generalized clock postulate says that there is no difference between the measurements of a non-inertial observer (NIO) and those of his co-moving inertial observer (CMIO) ...
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Time taken by bubble to come to surface

Does air bubble take same time to emerge from shallow water and deep water? I think the acceleration due to buoyancy will be the cause.
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How much lateral acceleration during cornering is needed to flip a car?

I'm doing my IB HL Math Exploration, where I use a bit of physics. Say I have a car with mass m, center of gravity at height h, and width of 2b, and I am turning a corner, how much centrifugal ...
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Is there any easy way to derive acceleration in a circular motion without involving derivatives?

I was given the task to try and teach some physics (mechanics and dynamics mostly) to two young students who don't have any knowledge of math analysis such as limits, derivatives, integrals but they ...
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Force on a particle with uniform velocity

Let's say a particle is moving in a straight with no acceleration in an inertial frame. By Newton's laws we know that the force acting on it must be 0. But my question is, why doesn't uniform velocity ...
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Lagrangian of free particle in non-inertial frame

As in Landau & Lifshitz 1st chapter "If an inertial frame К is moving with an infinitesimal velocity e relative to another inertial frame K', then v' = v+e. Since the equations of motion must ...
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Accelerometer polarity question

Will an accelerometer detect when an object moving it in the -ve x direction and +ve x direction? or will they both produce positive values? (assuming gravity is acting perpendicular to movement, in z ...
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Multiplying acceleration to match speed multiplier to achieve constant time max speed reach

If maximum/desired speed is multiplied by $n_v$, how many times does acceleration need to increase to read speed in the same amount of time? For example, originally you reach speed $v$ in 1s with ...
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Does linearly accelerating a swirling liquid slow down its angular motion?

Say you pour some freshly brewed coffee in your favourite mug and give it a nice stir. As you depart for your desk, does the (approx) linear acceleration you apply to the mug slow the coffee's overall ...
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Finding the acceleration constraint of multiple pulleys

Hello there, I'm trying to understand how Pulleys work. The question asked me to calculate the acceleration constraint that relates the accelerations for each of the masses $m_1, m_2, m_3$. The two ...
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Boost as a generator of constant acceleration

In Covariant Loop Quantum Gravity by Carlo Rovelli p204, Sec 10.4, there is a paragraph which states ..., a trajectory at constant acceleration is generated by the boost generator $K_z$ in the ...
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Applying external force on test charge greater than repulsive force of electric field

In the textbook, it is written that only that amount of external force is applied that balances the repulsive force of the electric field without producing acceleration. Without acceleration, is it ...
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Does acceleration of the rim mean just tangential or both tangential and centripetal acceleration?

On my physics homework, the problem specifies that the acceleration of the rim of a flywheel can't exceed 100g. Does this mean that the tangential acceleration only, or the sum of the tangential and ...
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Is there any force that affect to wearable accelerometer underwater?

I am trying to find displacement of underwater sport player with my accelerometer sensor. My question is; is there any force that affect to an object that weared by a human underwater? Thanks.
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Compression of air layer by parallel planes

When object is falling and close to the ground "liquid pillow" appears under it. Object is of cylindrical form. The differential equation that describes the motion is: $$m\frac{dV}{dt} = mg - \frac{...
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Derivation for magnitude of acceleration of a body in orbit with general relativity coefficient?

I came across an equation that an old professor used in an orbital simulation code and wanted to know how this equation was derived? I also wanted to know where $\alpha$ came from and what it ...
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Dynamically changing acceleration of object moving towards sun due to gravity

For a collection of sci-fi short stories set in the rather near future I need an approximation of the time it would take a space ship to travel from an Earth orbit to Ceres. In a previous story of ...
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Friedmann Expansion

I have a strange question that I can visualize but not find anything to really answer my query. The Newtonian law states that something in motion tends to remain in motion. We all know about ...
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Does Horizontal Velocity remain constant when it hits a surface in a Parabolic Motion?

It is told in one of the answers that the horizontal velocity stays at 4.0 m/s after the ball bounces from the plate. Why is it still at 4.0m/s, isn't there friction or is it neglected for the sake ...
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When a body completes one revolution around a circular path will its acceleration be 0?

When a body is moving in a circular motion the acceleration keeps changing, will it be zero when it comes back to the same point it started from(will the average acceleration be 0?)
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Acceleration as the second derivative of displacement function

Let $x$ be displacement as a function of time $t$ and some other physical quantity $k$ such that $ x = f(t,k) $ Now, 1) Will the acceleration $a$ be $\frac{\partial^2 x}{\partial t^2}$ or $\frac{d^...
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Is it true that when you accelerate due to a non-gravitational interaction gravity is pulling you in the direction opposite to the acceleration?

We don't feel acceleration when we are only in a gravitational field due to equivalence principle as I understand it says gravity is simply inertia in spacetime. Is there any other type of force ...
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Does the Jerk (derivative of acceleration) play a significant role in relativity?

In particular, I'm thinking of spaghettification that occurs as an object falls into a black hole (as an extreme example). But what about tidal forces like the tidal heating taking place on Jovian ...
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Acceleration of The Centre of Mass of A Rod

The acceleration a of the center of mass of a system is equal to F/M, where F is the net external force and M is the total mass of all the particles of the system, or at least that is my current ...
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Does the rope stretch when the pulley of Atwood's machine is accelerated?

Let's say I've an Atwood's machine in which I have two point masses which are different. Now, when I accelerate the pulley, the two masses accelerate at a different rate which can be shown by ...
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Average Velocity Question (isolation?)

So there is this question i've been having trouble with for the past hour. It involved a child going down a ramp on a sled at and angle theta with a total system of mass. accelerates down a hill of ...
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Real force analogue names for the coriolis and azimuthal fictitious forces

Consider the following equation (10.10) in Morin's book on classical mechanics, it is meant to provide a correct prediction of the measured acceleration of a particle for someone taking measurements ...
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Time dilation of accelerating object vs caught by gravity well

Suppose an object got caught by the immerse gravitational force but at the same time it has zero net force acting on it like suspending above the surface of a planet, not siting on the surface where ...
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Does buoyant force become less effective as acceleration increases?

Lets say a balloon with a certain amount of buoyant lift has a 2 kg mass strapped to it (including engines) and accelerates enough that it perceives a positive 2.5 g inertial force (2.5g * weight) ...
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Completely inelastic collisions & center-of-mass acceleration

The system can be isolated, or non-isolated, and comprises of, say, two carts. If these two carts undergo a completely inelastic collision, will they then accelerate together at the center of mass ...
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310 views

How to determine linear acceleration using an accelerometer?

I have a implemented an accelerometer, a gyro and a Magnetometer in Raspberry Pi. I want measure the linear acceleration (acceleration without gravity) but I don't know how to do it or if it is ...
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Why is acceleration in the rotating system zero?

Given a circular body that rotates around itself and there is a band(or iron line) that connects between the Cartesian coordinate system and its Perimeter, on the band, there is an ant that walking ...
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Expressing average velocity in terms of acceleration

Average velocity is usually expressed as the displacement divided by the time. For example, $$v_{\text{avg}} = \frac{x(t)-x_0}{t}$$ I have not, however seen it expressed in terms of acceleration. ...