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ashraful
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Homework Statement
In the case of circular motion,the direction of the velocity is changing in every moment.So,there is a angular accelleration here.What is the direction of this accelleration?
That is not angular acceleration. It's called 'centripetal' acceleration. Angular acceleration is present when angular velocity is changing w.r.t. time, which is zero in case of uniform circular motion.ashraful said:,the direction of the velocity is changing in every moment
ashraful said:Homework Statement
In the case of circular motion,the direction of the velocity is changing in every moment.So,there is a angular accelleration here.What is the direction of this accelleration?
Homework Equations
The Attempt at a Solution
The question only predicates acceleration implied by the circular motion. There may be other acceleration components, but not necessarily.Buffu said:There are three accelerations
$$\alpha = {d\omega \over dt}$$haruspex said:The question only predicates acceleration implied by the circular motion...
haruspex said:The question only predicates acceleration implied by the circular motion.
Note the word "implied". I.e., that acceleration which is necessarily present, given that motion is circular. Angular acceleration may be present, but it is not implied.Buffu said:angular acceleration is there in circular motion.
Yes, that was fine.Buffu said:OP asked the direction of α, I pointed it out.
Acceleration in circular motion refers to the rate of change of velocity in an object moving in a circular path. It is a vector quantity and is measured in meters per second squared (m/s^2).
The formula for calculating acceleration in circular motion is a = v^2/r, where a is acceleration, v is velocity, and r is the radius of the circular path. This formula is also known as the centripetal acceleration formula.
Yes, acceleration is always present in circular motion because the direction of the velocity is constantly changing, which means there is a change in the velocity vector. This change in velocity results in acceleration.
The direction of acceleration in circular motion is always towards the center of the circle. This is because the velocity vector is always tangential to the circle, and acceleration is perpendicular to the velocity vector.
The speed of an object does not affect the acceleration in circular motion. The only factors that affect acceleration in circular motion are the radius of the circular path and the square of the velocity. This means that as the velocity increases, the acceleration also increases, but the speed does not have a direct effect on the acceleration.