Uniform velocity Definition and 13 Threads

In physics, circular motion is a movement of an object along the circumference of a circle or rotation along a circular path. It can be uniform, with constant angular rate of rotation and constant speed, or non-uniform with a changing rate of rotation. The rotation around a fixed axis of a three-dimensional body involves circular motion of its parts. The equations of motion describe the movement of the center of mass of a body. In circular motion, the distance between the body and a fixed point on the surface remains the same.
Examples of circular motion include: an artificial satellite orbiting the Earth at a constant height, a ceiling fan's blades rotating around a hub, a stone which is tied to a rope and is being swung in circles, a car turning through a curve in a race track, an electron moving perpendicular to a uniform magnetic field, and a gear turning inside a mechanism.
Since the object's velocity vector is constantly changing direction, the moving object is undergoing acceleration by a centripetal force in the direction of the center of rotation. Without this acceleration, the object would move in a straight line, according to Newton's laws of motion.

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  1. brotherbobby

    Two candles making shadows of one another on opposite walls

    I copy and paste the problem as it appears in the text along with the diagram alongside. It is clear from the image that the base of the shadows don't move - only their tops would move either up or down. Let us assume the time ##t_1>t_2##, implying that candle 1 burns at a slower rate. How would...
  2. brotherbobby

    Pendulum hung from the ceiling of a train

    (a) No, a person seated inside the train compartment will not be able to tell whether the train is accelerating on a horizontal track or moving uniformly up an inclined track by observing the plumb line. (b) I am assuming that both observers are not allowed to look "out" of the boundaries of...
  3. brotherbobby

    "Distance" between events in uniformly moving and accelerating frames

    (1) Uniformly moving frames I begin with a drawing of the situation. The events are labelled as ##\color{red}{E_1}## and ##\color{red}{E_2}##. We note the time of those events : ##t_1 = t'_1 = 30s## and ##t_2 = t_2' = 30+60 = 90s##. I attempt the problem in two different ways. (a) By...
  4. U

    Calculating Kinetic Energy Using Uniform Velocity and Energy Equations

    For: a) Avdol did the work because he is the force that is causing the displacement, right? b) Is there another formula we would have to use? I am confused at how this would work out and what the answer would be.
  5. S

    Show that a nonlinear transformation preseves velocity

    Homework Statement I have a particle moving with uniform velocity in a frame ##S##, with coordinates $$ x^\mu , \mu=0,1,2,3. $$ I need to show that the particle also has uniform velocity in a frame ## S' ##, given by $$x'^\mu=\dfrac{A_\nu^\mu x^\nu + b^\mu}{c_\nu x^\nu + d}, $$ with ##...
  6. M

    Scissor Lift Actuator Force Calculation

    << Moderator note: This thread is missing the homework template due originally being posted in another forum >> Hello, I am required to find the actuator force for a scissor lift. Below are the images of the same: For a scissor lift, with weight W acting on it, I have introduced to links...
  7. A

    Linear Velocity vs Uniform Velocity

    I was hoping someone could help clarify. Does uniformly increasing velocity also mean linearly increasing velocity? I found terms where it used uniform exponential. So I'm confused as to whether the word "uniform" used alone would also refer to a linear change.
  8. A

    Potentials of a charge moving with uniform velocity

    Homework Statement A point charge q, moving with uniform velocity \vec{v} = v \hat{z}, in the laboratory frame called \cal{K}. The charge is in the origin of the system at time t=0. Homework Equations Find scalar potential \Phi and vector potential \vec{A} both in the frame in which the...
  9. A

    Consequences of Uniform Velocity: A Bus Collision

    Forces ... this was one question I've always thought upon right from the time i have learned abt forces and velocity .. a bus movin with a uniform velocity has zero acceleration ... then how, in such a case does a person get injure or even die when a bus collides with him ?? if the bus is...
  10. I

    How 2 find distance from non uniform velocity time graph where can't use triangle?

    Hi. *Problem solved. A trolley of mass 930 g is held on a horizontal surface by means of two springs,one spring on the left and right respectively.The variation with time t of the speed v of the trolley for the first 0.60s of its motion is shown in the fig(It's a v-t graph,max y=8.0cms^-1...
  11. S

    An object travels in a straight line at a uniform velocity

    can u pleez help me w/ the rest of the problem of 10 m/s for 3 seconds and then travels for 2 seconds at a constant speed of 5 meters per second in the same direction. Calculate the total distance traveled. Thanks!
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