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Questions tagged [displacement]

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How can both angular displacement and angular distance share similar equations?

Equation for finding angular displacement is: $$ d\vec{\theta} = \vec{\omega} dt$$ In the case of rotational motion with constant acceleration, we can use the following equation for angular velocity: $...
Alexander Djurovich's user avatar
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2 answers
80 views

Why is the displacement -time graph of an object thrown upwards a downward parabola?

So, this is the displacement-time graph of an object thrown upwards with an initial velocity $u$. I understand the first part as the equation is $s = -ut + \frac{at^2}{2}$ which is simply the ...
Madly_Maths's user avatar
0 votes
2 answers
87 views

What is the science behind why when displacement is increased, so will the final velocity? [closed]

I'm writing a paper and need to write a hypothesis. I did an experiment using a weighted cart with a string and falling mass, and also a pulley. This was completed on a flat table onto the floor. In ...
dmull's user avatar
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7 answers
94 views

How does the result of derivative become different from average ratio calculation?

Lets give an example. Velocity, $v=ds/dt$. If we know the value of $s$ (displacement) and $t$ (time), we can instantly find the value of $v$. But then this $v$ will be the average velocity. Now ...
Arafat's user avatar
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0 answers
40 views

Is displacement vector always the shortest path?

I read that the displacement vector of a particle is the shortest path between its initial and final positions since it's a straight line joining the two points, this holds true for me till a 2D ...
Manish's user avatar
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1 vote
3 answers
86 views

What is the actual meaning of $dx$ in $W=-F.dx $, in work in thermodynamics?

what I want to ask is that the $dx$ in that formula is the displacement of piston or the displacement of the center of mass of the gas. also is there any situation where this clarity is useful.
Ujjwal's user avatar
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1 vote
2 answers
52 views

Displacement and position vectors

I know that displacement vector means a change in the position vector of a body and also that change in displacement vector and change in position vector are not the same thing, but if we talk about a ...
Manish's user avatar
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14 votes
4 answers
2k views

Why doesn't constant acceleration give me total displacement?

I started learning 1D kinematics and learnt definitions of constant velocity and constant acceleration. I thought that if a particle is changing its velocity uniformly then it has constant ...
Sai Varun 's user avatar
-1 votes
1 answer
77 views

Can distance traveled by a body be zero?

I had seen a teacher saying on YouTube that we must note that distance traveled can not be zero then I searched for the same on net and surely some sources say same e.g. the below link https://byjus....
Shinnaaan's user avatar
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0 votes
2 answers
20 views

Question about Proportionality in Sound Equation (Pressure and Displacement Amplitude)

Why is intensity in terms of pressure amplitude inversely proportional to density and velocity: $I=\frac{\Delta p_\text{max}^2}{2\rho v}$, while in terms of displacement amplitude, it is proportional ...
Mato's user avatar
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4 answers
127 views

Why acceleration is not always parallel to velocity but velocity is always parallel to displacement? [closed]

Velocity is derivative of displacement : $$\vec v=\frac{\mathrm {d\vec r}}{\mathrm dt}$$ And acceleration is derivative of velocity. $$\vec a=\frac{\mathrm {d\vec v}}{\mathrm dt}$$ Given that their ...
An_Elephant's user avatar
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0 answers
15 views

Track an object velocity in a 2D plane

I would like to track the motion (actually, I am more interested in the velocity) of an object in a 2D plane (typically 4m x 4m). The object speed is typically 10cm/s, but the mouvement may be chaotic ...
Majorana's user avatar
0 votes
2 answers
144 views

Calculating the magnitude of the average acceleration of a clock hand

I've been stuck on the following question from Isaac Physics for quite some time now and I'm not really sure where to even begin: The time shown on a clock changes from 4:00 to 4:30. The minute hand, ...
Developer's user avatar
2 votes
2 answers
161 views

Is $W = \vec{F}\cdot\vec{D}$ actually a dot product or just calculated that way?

I know that work = force times displacement with vectors ($W = \vec{F}\cdot\vec{D}$) can be calculated in the same way as a dot product, but it seems to me that it isn't really a dot product. The ...
johnnyb's user avatar
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1 vote
4 answers
166 views

What's my displacement relative to my position a year ago? [closed]

Earth moves in a few different ways through the universe. Earth orbits the Sun (plus the orbit precesses), the Sun moves through the Milky Way, and the Milky Way moves through the universe. Compared ...
shim's user avatar
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-1 votes
1 answer
66 views

Interpretation of velocity-velocity and acceleration-acceleration curves

I am parametrizing equations of motion in the form: $$x(t) = x_0+v_{0,x}t\\y(t) = y_0+v_{0,y}t+\frac{1}{2}at^2$$ The parametrized equation with respect to time: $$y(x) = y_0+v_{0,y}\cdot \frac{x - x_0}...
Radek D's user avatar
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0 answers
41 views

Is it possible to create Fabry-Pérot Interferometer with one partially transparrent and one non-transparent mirror?

In the literature sources I've found so far about Fabry-Pérot interferometer there are only example schematics of the interferometers in transmission - light source is placed from one side of the ...
Andrii St's user avatar
1 vote
2 answers
80 views

What is the literal meaning of displacement current?

I think I know what the displacement current is. But I don't know why they use the word "displacement" exactly. What is the literal meaning of "displacement" of the displacement ...
superkappy's user avatar
0 votes
2 answers
129 views

Doubt in displacement time graph for a body moving with constant, negative velocity

This is a displacement - time graph of a body having constant, negative velocity. As we can see, the angle $θ$ (in anti - clockwise direction) is greater than $270^\circ$, and lesser than $360^\circ$,...
Bongo Man's user avatar
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-2 votes
1 answer
54 views

Question about suvat $ x = v_0t + (1/2) at^2 $ [duplicate]

I understand why we have these two terms in this equation $ v_0t $ and $ (1/2)at^2 $. The thing I don't understand is the area under velocity vs. time graph of the first term. I get that $vt = d$ but ...
Shadow sparkle 's user avatar
3 votes
1 answer
151 views

Is the position vector an axial vector?

The displacement vector $\vec{r}_{ij} = \vec{r}_j - \vec{r}_i$ is of course a polar vector because it's completely independent of the choice of origin, but what about the position $\vec{r}$ which, by ...
Mrcp82's user avatar
  • 35
0 votes
3 answers
128 views

How Work Done is Calculated for Changing Direction?

I know work done is equal to product of force, displacement and cosine of angle between them. But that formula works only when we assume that the force is constant during displacement and it acts so ...
S K's user avatar
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0 votes
2 answers
534 views

Difference between Displacement from Equilibrum and Amplitude of SHM

I'm currently studying Simple Harmonic Motion. What is the difference between the amplitude of the simple harmonic motion, and its displacement from equilibrium?
spraka's user avatar
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-1 votes
1 answer
82 views

Car crash - distance and acceleration no friction or rotation [closed]

A small model car is released by my hand and goes down a ramp and hits a wall. There is no friction or air resistance and the car is influenced by -9.8m/s^2 gravity. Why does the maximum acceleration (...
Python Undertale Coder's user avatar
0 votes
4 answers
98 views

What is the direction of $\vec r_{21}$ (position vector)? towards $\vec r_{2}$ or towards $\vec r_{1}$?

The vector representation of Coulomb's law uses a vector between the position vectors of the charges at rest. However, my teacher and a few books use the convention that vector $\vec r_{21} = \vec r_1 ...
Krish Modi's user avatar
0 votes
3 answers
184 views

What is the actual meaning of velocity?

There's a scenario where a car is moving between two points A and B in a way that it first goes 30m north and then 20m south in a time period of 10 seconds. Now the speed of the car comes out to be <...
Bhavya Jain's user avatar
2 votes
4 answers
405 views

Springs stacked on each other in series with a mass on top, is the deformation the same?

This is a practical question which I am trying to determine the life of 5 rubber pucks which act as suspensions/shock absorbers for my airplane. Essentially 5 rubber pucks are stacked on each other ...
Karan K's user avatar
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0 votes
0 answers
35 views

Can a distance function be derived from a displacement function?

If I have some function $\vec{x}(t)$ that represents the displacement function for some object $x$, is it possible to derive a distance function $d(t)$ for that same object, representing the total ...
esotechnica's user avatar
5 votes
1 answer
453 views

What are the eigenstates of the Displacement operator?

I know that the displacement operator: $$ \hat{D}(\alpha)=e^{\alpha \hat{a}^{\dagger}-\alpha^*\hat{a}} $$ acts on the vacuum as: $$ \hat{D}(\alpha) \vert 0\rangle =\vert \alpha\rangle $$ But what are ...
L.T.'s user avatar
  • 55
0 votes
1 answer
84 views

Is average velocity equal to displacement per unit time OR displacement divided by time?

I had looked for the definition of average velocity in books like Resnick Halliday, Tipler ' Sears zemansky but no book writes average velocity as displacement per unit time although in these books ...
Shinnaaan's user avatar
  • 1,357
0 votes
1 answer
26 views

How to exactly determine the position and sign in vector quantity like displacement? [closed]

I want to know how to determine the sign. I used opposite sign my answer was 32 m. This is is wrong because in displacement sign is required for direction. This is crucial otherwise all my solutions I ...
tbhaxor's user avatar
  • 259
0 votes
1 answer
66 views

Mass conservation in a deformed membrane in cylindrical coordinates

This is clearly an obvious question but here is my issue. Context : We assume an axisymmetric deformation of a membrane, and work with cylindrical coordinates $(r; \phi; y)$. At time $t = 0$ we let $r$...
Waxler's user avatar
  • 109
2 votes
5 answers
699 views

Does work done by a non-conservative force involve distance rather than displacement?

I am a new physics teacher and struggling to piece out the nuance of work calculations for my Advanced Placement (AP) students. I feel like after a fruitful year of distinguishing between vector and ...
Mrs. Teacher's user avatar
0 votes
1 answer
59 views

Is this relationship between the radial and cartesian displacements for symmetrically axially loaded cylinders correct?

The relationship between the radial coordinate $r$ and the Cartesian $x$ and $y$ coordinate is: $$ r^2 = x^2 + y^2 \tag 1 $$ If a cylinder is under a symmetric axial load, a displacement in the ...
FriendlyNeighborhoodEngineer's user avatar
1 vote
0 answers
30 views

Does work done by/against friction depend on path length or displacement? [closed]

On an equipotential surface, does the work done in moving/sliding a block of mass depend only on the initial and final position or the circuitous path (notwithstanding work done by or against friction ...
Pop Stack's user avatar
  • 111
1 vote
0 answers
260 views

Converting Displacement-Time to Distance-Graph for Simple Harmonic Motion

An object undergoes simple harmonic motion with the position/displacement function $$Position=\text{sin } t$$ The distance function is: \begin{equation} Distance = d(t)= \left\{ \begin{array}{lr} ...
Starlight's user avatar
  • 347
1 vote
1 answer
219 views

Time integral of a time-dependent Displacement operator

The diplacement operator on a bosonic mode with creation and annihilation operators, $\hat{a}^\dagger,\hat{a}$, is usually defined as $$ \hat{D}(\alpha)=\exp(\alpha \hat{a}^\dagger - \alpha^*\hat{a})$$...
Lost In Euclids 5th Postulate's user avatar
1 vote
0 answers
27 views

Is the change of displacement with respect to the radius at the origin of a cylinder always equal to zero if the load is symmetric?

Consider a cylinder under dynamic uniform axial pressure as shown below. At the radial origin exists non-zero axial displacement $u_z(t,0,z)$. I know from the mathematical definition of symmetry that ...
FriendlyNeighborhoodEngineer's user avatar
1 vote
1 answer
65 views

How can i find the angle? [closed]

Here we have a question of a 2 dimensional movement. I know that it is needed to get its second derivatives for acceleration but then what should I do?
Ori's user avatar
  • 13
0 votes
1 answer
71 views

Sine and Cosine Functions [closed]

So long story short, We were given a windmill to experiment with and a sensor could sense the Voltage produced and graph it concerning time. We decided to make a sine wave out of the positive and ...
grade12boi's user avatar
1 vote
0 answers
48 views

Using normal displacement instead of virtual displacement

I know that there are many posts about virtual displacement, but I want to answer the question if of: is virtual displacement is always needed to get the same results? I am going through a PDF by ...
Reuben's user avatar
  • 283
-1 votes
2 answers
99 views

Motivation for definition of work [closed]

Why do we take the dot product in the work energy theorem? Consider the integral $$\int\vert\vec F\vert\vert d\vec r\vert$$ Why don't we define this to be work done for example, instead of $\int\vec F\...
GedankenExperimentalist's user avatar
0 votes
1 answer
76 views

${}$Conservative and Non-Conservative Forces

For work done by conservative forces ($W = F.S$), we consider $S$ as the displacement and not the actual path travelled. However for non conservative forces we consider the total path length and not ...
nerdygeek's user avatar
0 votes
1 answer
113 views

Radial stress of a cylinder that is longitudinally excited

Consider a cylinder that is longitudinally excited on one of its ends and fixed on the other one as shown in the picture below. In the cylindrical coordinate system, the displacement vector $\bf u$ ...
FriendlyNeighborhoodEngineer's user avatar
-1 votes
1 answer
63 views

Derivative of distance [duplicate]

I know that $speed = |\frac{\vec{dr}}{dt}|$ and first derivative of distance with respect time will be $\frac{d\vec{|r|}}{dt}|$ These 2 expressions don't seem to represent the same thing. But when I ...
Nipun Kulshreshtha's user avatar
2 votes
1 answer
422 views

What exactly is the electric displacement?

I found a lot of definitions of the electric displacement and none of them made sense to me. Some say it's the electric field in the dielectric, some say it's the density of free charges, and some say ...
Mylisteofanime nexv's user avatar
2 votes
1 answer
282 views

Displacement Vector and resultant vector [duplicate]

I am struggling with the concept of displacement. From my understanding displacement can be found for 1D motion along the x-axis as $\Delta x= x_{f}-x_{i}$. For example someone walks $1\,\mathrm{m}$ ...
mach123's user avatar
  • 51
0 votes
1 answer
145 views

What is the difference between |$\frac{ d\vec{r}}{dt}$| and $\frac{d|\vec{r}|}{dt}$? [duplicate]

let $\vec{r}$ be the position vector. $\frac{d\vec{r}}{dt}$ will be the velocity. But what is the difference between |$\frac{ d\vec{r}}{dt}$| and $\frac{d|\vec{r}|}{dt}$ ? Do both of them mean the ...
Pumpkin_Star's user avatar
0 votes
2 answers
127 views

Does equations of motion work for distance and speed? [closed]

In some books,when solving to find the distance and speed of the object having motion in straight line,the three equation of motion are used.so my question is whether these equation of motion (i.e $v=...
hsdfasd's user avatar
  • 31
3 votes
2 answers
156 views

Acceleration in terms of displacement

I am having problems understanding the derivation of acceleration in terms of displacement. The first step is fine: $$a(x) = \frac{\mathrm dv(x)}{\mathrm dt} = \frac{\mathrm dv(x)}{\mathrm dx} \frac{\...
Hugo Lundin's user avatar

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