While your speed may be the same, your direction is constantly changing. So there is an angular acceleration. The force caused by this is called centripetal force, and it points towards the center of the circle.
You can know this by feeling it, or by drawing a picture of the force system. Acceleration is broken up into normal and tangential components for rotation. The tangential is zero because you are moving at a constant speed, however the normal is not zero, and points to the center of the circle by definition.
Yes. Acceleration means changes in speed, or direction, or both. If there's no acceleration, then
the object moves at constant speed in a straight line. In circular motion, the direction changes,
and that's acceleration.
No. The linear velocity can never be equal when speed is constant. This is because direction is changing and therefore linear velocity changes.
Yes. It needs a force to make it travel in a circle. If that force were
not there, then the object would take off in a straight line.
The net force is called centripetal force and it acts in a direction that is radially inward, always pointing to the center of the circle
centripetal force
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Yes.
Linear
No.. this is impossible. Velocity must have a constant direction and speed to remain constant, it may have a constant speed, but the direction in a circle constantly changes. If it suddenly were to have constant direction, then the motion would go off on a tangent.. making it linear motion, not circular. In circular motion, velocity constantly changes. Always.
The speed of the object in motion, the radius of the curve in which it moves, the force acting on it to keep it moving in a circle, its angular velocity, and its centripetal acceleration, are all constant. Notice that its linear velocity is not constant, because the direction of its motion is always changing. Although I guess you'd have to say that its velocity is constant in polar coordinates, because the radial and tangential components are constant.
Velocity is a vector with magnitude (speed) and direction. Since the linear velocity changes direction the speed is constant but the velocity is NOT constant.
If v (velocity) is constant, then it's straight (linear). If v is changing due to acceleration, then it is a curve (non-linear)
Linear
No.. this is impossible. Velocity must have a constant direction and speed to remain constant, it may have a constant speed, but the direction in a circle constantly changes. If it suddenly were to have constant direction, then the motion would go off on a tangent.. making it linear motion, not circular. In circular motion, velocity constantly changes. Always.
The speed of the object in motion, the radius of the curve in which it moves, the force acting on it to keep it moving in a circle, its angular velocity, and its centripetal acceleration, are all constant. Notice that its linear velocity is not constant, because the direction of its motion is always changing. Although I guess you'd have to say that its velocity is constant in polar coordinates, because the radial and tangential components are constant.
Velocity is a vector with magnitude (speed) and direction. Since the linear velocity changes direction the speed is constant but the velocity is NOT constant.
If v (velocity) is constant, then it's straight (linear). If v is changing due to acceleration, then it is a curve (non-linear)
When there is no acceleration or when there is constant acceleration. When either of these cases is present, the graph of velocity versus time will be linear. When there is linear velocity, the average velocity will equal the instantaneous velocity at any point on the graph.
The graph is linear.
Linear Velocity.
If speed does not change then the object is moving with constant speed. when object moves in a circle its speed does not remains constant. Speed of object remains constant only if it moves along linear path.
The question is, if not a maelstrom, certainly a melange at least.Especially noteworthy is the part where "acceleration of a body changesat constant velocity".Acceleration is the rate of change of velocity. If velocity is constant, then there isno acceleration. If velocity changes at a constant rate, then acceleration is constant.Velocity would have to change at a rate that changes, in order to have a changingacceleration.Now, what is it you're looking for ? A "linear or circular motion equation" ? There areoodles of them, describing the relationship among the position, displacement, speed,velocity, and acceleration, in one, two, or three dimensions, in rectangular, polar, andspherical coordinates, for linear motion, and an entire separate set of equations forcircular motion.
linear velocity= radius* angular velocity
Motion with uniform velocity. * * * * * There is absolutely no reason for the velocity - or even speed - to remain constant. It is linear motion an that is all that there is to it.