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Questions tagged [acceleration]

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

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46 views

Does all objects really fall with the same acceleration? [duplicate]

I know that acceleration due to gravity is independent of mass : $$a = \frac{F}{m} = G\frac{M}{r^2}$$ Meaning that a hammer and a feather fall with the same acceleration on the moon. I am confused, ...
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29 views

Accelerator on a Turntable [closed]

If a circular particle accelerator were placed on a "frictionless" turntable and then turned on, would it spin opposite to the motion of the accelerating particles?
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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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Intuition of Distance covered when accelerating [duplicate]

When you're moving at $5$ m/s for $1$ second, you have traveled $5$ m. When you're moving at $5$ m/s (initial velocity) and you accelerate $2$ m/s for $1$ second, you have traveled $5$ m + $1$ m (...
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Could you create a “fast forward” machine using something like an accelerating Ringworld?

If you had a large cylinder in space with people on the inside surface and you started it spinning at a constant acceleration of 1G until it was spinning at near light speed (so the tangential ...
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Use of direction of downward velocity in equation of motion

[NOTE: I am not asking anyone to solve the question below but to point out where I might be wrong] Q- A skier jumps from a horizontal track and lands on a steeper track with a launch angle of ∅=11.3°(...
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What is the meaning of transverse acceleration due to work in special relativity?

If we derive the momentum in Special Relativity we get : $$ \dfrac{\mathrm{d}\boldsymbol{p}}{\mathrm{d}t} = \dfrac{\mathrm{d}m \gamma \boldsymbol{v}}{\mathrm{d}t} = m\dot{\gamma}\boldsymbol{v}+m\...
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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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47 views

Velocity of particle in non-inertial frame [closed]

Can velocity of the free particle remain constant in non-inertial frame as contrast to free particle in an inertial frame? I know the answer is straightforward yes but taking a different perspective ...
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Is it possible to estimate linear displacement using accelerometer & gyroscope with the kinematic equations of motion?

I am trying to estimate linear displacement using a 9DOF inertial measurement unit. My question is: After correcting the accelerometer readings using the gyroscope, is it possible to apply the ...
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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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How does the gravitational acceleration on a surface of planet change, if its radius shrinks while retaining the same mass? [closed]

If the radius of the earth were to shrink by $1$% while its mass remained the same, then how would the acceleration due to gravity on the earth's surface increase by $2$%?
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Why electric potential requires absence of acceleration?

As of 28/05/2019, Electric Potential is defined in Wikipedia in the article with the same name as: The amount of work needed to move a unit of positive charge from a reference point to a specific ...
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1answer
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Calculating acceleration of an object using $x$, $y$ and $z$ coordinates

I have x, y and z coordinates for a test I had carried out for a tool. I had an accelerometer installed on the tool and I used two types of motion to move the tool, rotation and translation. Right now ...
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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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4answers
320 views

What does a negative acceleration mean? Is the object slowing down, changing direction, or both?

I am confused about such things as negative velocity, acceleration, and displacement and what the negative indicates.
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2answers
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Increasing Mass VS Increasing Force when pushing a Box [closed]

If we assume g=10m/s^2 & negligible friction The force needed to accelerate that box by 5m/s^2 would be 500N. This is a very basic one. The confusion came when an force of 250N (the force a 25kg ...
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Why doesn't the Earth's acceleration towards the Moon accumulate to create noticeable motion of the earth, towards the moon

I get that Earth's mass is very large, so its acceleration is very tiny. But wouldn't the acceleration accumulate over a period of time and become noticeable?
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Why haven't we yet tried accelerating a space station with people inside to a near light speed? [closed]

Is that something we could do if we use ion or nuclear thrusters? Wouldn't people in the station reach 0.99993 speed of light in just ...
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1answer
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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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2answers
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Is motion smooth? [duplicate]

It's obvious that for every particle velocity is smooth i.e it cannot undergo sudden finite change in its position in infinitisiminal time. Similarly any particle's velocity cannot undergo a change ...
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106 views

Accelerated frame vs gravity frame

Can accelerated frame change curvature of space as gravity does? Can there accelerated frame be pure inertial frame?
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Looking for ways to transform time-series data recorded from object movement into equation describing the movement direction of the object

Looking for some time-series data transformation advice! I want to know what's the best way to transform data of 9-tuples time series data of IMU (Inertia Measurement Unit) sensor, recorded from a ...
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Rindler observers are at rest with respect to each other?

I'm studying a chapter about Rindler coordinates right now. In this they say that two Rindler observers at $x = 1/a_1$ and $x= 1/a_2$ will both have speed $v =0$ at $\tau = 0$ compared to the inertial ...
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Can satellites stay in orbit when the Earth is being accelerated?

In a TV show I'm watching, the people of Earth have decided to leave the solar system, and take Earth with them, so they've built a large number of powerful rocket engines on one side of the Earth (as ...
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1answer
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Finding tangential and normal velocity from a curve [closed]

How do you find tangential and normal velocity from a curve? I know how to find dy/dx, but I have no idea how to obtain ut and un and dv/dt.
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Would a puddle of spill milk on the elevator floor float when I cut the cable?

Imagine I pour some milk inside the elevator and then I cut the cable to allow the elevator to free fall, does it immediately float or only when the elevator speed has reached 9.81m/s/s? Oh and assume ...
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1answer
56 views

Is the forward acceleration of a parachute equal to its downward acceleration?

I'm writing a small simulation program about parachuting. I know that the chute will accelerate to it's maximum fall speed at a rate of 9.81 meters per second per second. The forward velocity of the ...
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A query on Newton's second law [duplicate]

Upon studying Newton's second law, I noticed that it seems less of a physical law i.e. outcome of some experiment, than something we built upon how WE define mass and force. The ratio of the masses $...
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1answer
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What part of the energy applied to accelerate electrons radiate and why?

I understand that accelerated electrons will emit radiations, for example in a cyclotron or antenna. However I dont understand why some energy will sort of stay in the electrons and accelerate them, ...
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2answers
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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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Why don't we define time derivative of acceleration? [duplicate]

When we started the study of kinematics we defined position and its change with respect to time. After that we defined time derivative of velocity which gave us acceleration. These 3 concepts really ...
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6answers
293 views

Twin paradox - is acceleration relative? [duplicate]

The usual answer to the twin paradox is that the twin who undergoes acceleration is the one who finds the other has aged more, because the trajectory of the 'travelling twin' does not amount to a ...
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What happens when the drag force exceeds the weight of an object falling into earth?

Let's say a meteor is coming towards earth. It's not accelerating, but it does have an initial velocity. This meteor is shaped so it has an insane amount of drag, enough to even exceed its weight (not ...
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1answer
95 views

How does acceleration affect time dilation and length contraction?

I just studied SR and I understand how velocity affects time and length; how do they evolve during the process of reaching a certain velocity?
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1answer
33 views

Normalize accelerometer data based on non-central location

I am trying to "normalize" accelerometer data for a sensor that is not centered on a car. In the image below, you can see how centripetal force changes based on location. In my case, I only have one ...
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7answers
112 views

Is there centripetal acceleration with velocity of 5 m/s?

So if an object is moving at $5\ \mathrm{m\ s^{-1}}$ in a circle, is it accelerating? Me and a friend are having a conversation about this.
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4answers
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Why the book falls faster than a feather, dropped from the same height? [duplicate]

If I dropped book and feather from same height. Why book falls first, however book has more windage(air resistance), more area(square) than feather?
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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 a scalar acceleration?

Distance is paired with Displacement and it seems to be a bigger idea than just the magnitude of Displacement. Speed is paired with Velocity. I have always thought that there is not such pairing with ...
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1answer
64 views

How do we know who is moving? [duplicate]

If I am in a free float environment and there is another object at rest relative to me, and then I start to accelerate towards this object, do I know I am the one who is moving, since I am the one who ...
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3answers
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What is wrong with this reasoning?

Suppose a particle is rotating about a point at a distance $r$, then since $r$ is constant $\frac{\text dr}{\text dt}=0$ so the component of velocity along the position vector should be zero. ...
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Calculating time taken for acceleration [closed]

about tickertape timer,when we measure the time for a particular object's acceleration, we would take 7 ticks multiply 0.020s(for example), instead of taking 8 ticks. Why do we exclude the other tick, ...
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3answers
218 views

A glass of water on an inclined plane

A Glass of water is freely sliding down an inclined plane. The water surface has settled down after some initial disturbances. Which of the three cases is possible for the shape of the water surface: ...
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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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8answers
2k views

What if Force was not Mass times Acceleration? [closed]

We know that Force equals Mass times Acceleration, $F = ma$. But what if we had a law like $$F=m^2a$$ or $$F = 2ma~?$$
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Speed and tangential acceleration in pendulum motion

Speed is a scalar quantity which corresponds to the magnitude of velocity, so it must always be nonnegative. In a general 2d motion, the tangential component of acceleration is given by the time ...
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1answer
96 views

Length contraction of an accelerating rod

Let us assume a rod of length, $4l$, initially at rest. The coordinates are defined s.t - (assuming uniform density) $$X_{back-end}(0) = -2l$$ $$X_{front-end}(0) = +2l$$ $$X_{mid-point}(0) = 0$$ ...
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1answer
91 views

How do you solve the twins Paradox? [duplicate]

I'm a beginner physics student only studying elementary AP-level physics and calculus, so when I came across the conceptual basis of the twins paradox I was, of course curious. People often explain ...