Examples of constant velocity in the following topics:
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- An object moving with constant velocity must have a constant speed in a constant direction.
- Motion with constant velocity is one of the simplest forms of motion.
- To have a constant velocity, an object must have a constant speed in a constant direction.
- If an object is moving at constant velocity, the graph of distance vs. time ($x$ vs.
- Examine the terms for constant velocity and how they apply to acceleration
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- If a charged particle's velocity is parallel to the magnetic field, there is no net force and the particle moves in a straight line.
- If an object experiences no net force, then its velocity is constant: the object is either at rest (if its velocity is zero), or it moves in a straight line with constant speed (if its velocity is nonzero).
- If the acceleration is zero, any velocity the particle has will be maintained indefinitely (or until such time as the net force is no longer zero).
- If the magnetic field and the velocity are parallel (or antiparallel), then sinθ equals zero and there is no force.
- In the case above the magnetic force is zero because the velocity is parallel to the magnetic field lines.
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- Though the body's speed is constant, its velocity is not constant: velocity (a vector quantity) depends on both the body's speed and its direction of travel.
- (Note that ω = v/r. ) Thus, v is a constant, and the velocity vector v also rotates with constant magnitude v, at the same angular rate ω.
- The point P travels around the circle at constant angular velocity ω.
- where θ=ωt, ω is the constant angular velocity, and X is the radius of the circular path.
- Velocity v and acceleration a in uniform circular motion at angular rate ω; the speed is constant, but the velocity is always tangent to the orbit; the acceleration has constant magnitude, but always points toward the center of rotation
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- Instantaneous velocity is the velocity of an object at a single point in time and space as calculated by the slope of the tangent line.
- Typically, motion is not with constant velocity nor speed.
- A graphical representation of our motion in terms of distance vs. time, therefore, would be more variable or "curvy" rather than a straight line, indicating motion with a constant velocity as shown below.
- To calculate the speed of an object from a graph representing constant velocity, all that is needed is to find the slope of the line; this would indicate the change in distance over the change in time.
- Since our velocity is constantly changing, we can estimate velocity in different ways.
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- Constant acceleration occurs when an object's velocity changes by an equal amount in every equal time period.
- An object experiencing constant acceleration has a velocity that increases or decreases by an equal amount for any constant period of time.
- It is defined as the first time derivative of velocity (so the second derivative of position with respect to time):
- Assuming acceleration to be constant does not seriously limit the situations we can study and does not degrade the accuracy of our treatment, because in a great number of situations, acceleration is constant.
- Due to the algebraic properties of constant acceleration, there are kinematic equations that relate displacement, initial velocity, final velocity, acceleration, and time.
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- Centripetal acceleration is the constant change in velocity necessary for an object to maintain a circular path.
- Often the changes in velocity are changes in magnitude.
- Uniform circular motion involves an object traveling a circular path at constant speed.
- Since the speed is constant, one would not usually think that the object is accelerating.
- Even if the speed is constant, a quick turn will provoke a feeling of force on the rider.
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- Although the angle itself is not a vector quantity, the angular velocity is a vector.
- Angular acceleration gives the rate of change of angular velocity.
- A fly on the edge of a rotating object records a constant velocity $v$.
- The object is rotating with an angular velocity equal to $\frac{v}{r}$.
- The direction of the angular velocity will be along the axis of rotation.
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- Constant angular acceleration describes the relationships among angular velocity, angle of rotation, and time.
- We have already studied kinematic equations governing linear motion under constant acceleration:
- Similarly, the kinematics of rotational motion describes the relationships among rotation angle, angular velocity, angular acceleration, and time.
- As in linear kinematics where we assumed a is constant, here we assume that angular acceleration α is a constant, and can use the relation: $a=r\alpha $ Where r - radius of curve.Similarly, we have the following relationships between linear and angular values: $v=r\omega \\x=r\theta $
- Relate angle of rotation, angular velocity, and angular acceleration to their equivalents in linear kinematics
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- Angular acceleration is the rate of change of angular velocity.
- Consider the following situations in which angular velocity is not constant: when a skater pulls in her arms, when a child starts up a merry-go-round from rest, or when a computer's hard disk slows to a halt when switched off.
- Angular acceleration is defined as the rate of change of angular velocity.
- where $\Delta \omega$ is the change in angular velocity and $\Delta t$ is the change in time.
- Tangential acceleration refers to changes in the magnitude of velocity but not its direction.
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- A fluid in motion has a velocity, just as a solid object in motion has a velocity.
- Like the velocity of a solid, the velocity of a fluid is the rate of change of position per unit of time.
- The flow velocity vector is a function of position, and if the velocity of the fluid is not constant then it is also a function of time.
- In SI units, fluid flow velocity is expressed in terms of meters per seconds.
- The magnitude of the fluid flow velocity is the fluid flow speed.