# Under what circumstances, if any, can an object move in a circular path without being accelerated?

• Under what circumstances, if any, can an object move in a circular path without being accelerated?  Answer #1 | 23/07 2014 14:31 It really depends on how you look at it. In the X-Y coordinate system, the object is always accelerating towards the center. In the R-θ coordinate system, it can move at a constant angular velocity and experience no angular acceleration. Note: You didn't specify linear acceleration only :)
Answer #2 | 23/07 2014 14:06 As far as I know, if something moves in a circular path, there will always be a centripetal acceleration.
Answer #3 | 23/07 2014 14:37 Under no circumstances can this happen Velocity is a vector - a change in magnitude and/or a change in direction counts as acceleration. If the motion is circular, the velocity is changing direction continuously. This is therefore acceleration.
Answer #4 | 23/07 2014 14:18 It is not possible for an object to move in a circular path without any kind of centripetal "acceleration". Without centripetal acceleration, the object will keep moving in a straight line (Newton's First Law).
Answer #5 | 23/07 2014 16:44 Depending on how you formulate it, in a free falling orbit around a suitable gravity well.
Answer #6 | 23/07 2014 14:17 a circular path involves a change in the direction of velocity at each point (along the tangent at right angles to the radius) since velocity and hence acceleration are vectors direction is important even though their magnitude may be constant. => a͐ = dv͐/dt this implies that any object in a circular path will be accelerated F͐res = centripetal force = F͐ᵣₑ = ma͐ 