what remains constant in uniform circular motion ?

Answer 1

Things that are constant:
speed (NOT velocity)
radius (it is a circle after all)
centripetal acceleration (remember the equation a_c = v² / R)
angular acceleration
angular velocity

Things that are NOT constant...
velocity (you are constantly changing directions)
tangential acceleration (it's constantly changing directions)
displacement (you're not sitting still!!)

Answer 2

a) Angular velocity and angular acceleration remain constant (fixed at zero when there is constant angular velocity). That's the meaning of "uniform". b) The tangential velocity vector is continuously changing direction and, consequently, there is a linear acceleration due to the directional changes. The direction of the linear acceleration is always centripetal, inward on the radius of rotation. Which means, although its magnitude is not changing, its direction is as the radius rotates around the axis of turn. Bottom line...the tangential velocity and resulting centripetal acceleration are continuously changing directions.

Answer 3

the description is of an object with constant mass that travels in a perfectly circular path with uniform, i.e. constant magnitude, velocity. To be circular, the path must have a constant distance or radius from the center of the circle, so the description of the direction of the velocity is particularly simple: its magnitude is constant and its direction is always tangential to the circular path at every position of the object. With that description in words, we can readily write down a mathematical description of where the particle is as a function of time. First, the position of the particle must be


x = r cos(theta) + x0
y = r sin(theta) + y0
where theta is the angular position of the particle at some given instant of time as shown below and (x0, y0) is the initial position of the particle at time t = 0. We are assuming that the particle is moving counterclockwise, but our description is valid for clockwise rotation as well.

Answer 4

The acceleration remains constant. Velocity keeps changing at an uniform rate.

Answer 5

for horizontal cicrcular motion centripetal acceleration and centripetal force remains constant for a constant angular velocity
for vetical circular motion centripetal acceleration and force keeps on changing for a constant angular velocity

Answer 6

actually, two things..

one, I think is the speed..
velocity changes, because its constant change in direction.

speed is a magnitude only, so it does not change.
another thing is the radius of the object moving.

if the speed remains constant, there will be a constant centripetal acceleration.

Ac= mV^2/r

where V here represents the speed ...

Answer 7

work done b'coz it is always 0 in a circular motion so, it remains constant

Answer 8

Angular velocity. One can deduce other quantities which remain constant, but they are constant just because the angular velocity is constant.

Answer 9

Speed, angular velocity, angular momentum, radius of the circle, time period of motion, frequency, magnitude of centripetal acceleration, magnitude of linear momentum, magnitude of linear velocity.

Answer 10

The body keeps falling, so velocity remains constant.....

Aiolair