How is tangential accleration zero in uniform circular motion?

[pcsx22]

How is tangential accleration zero in uniform circular motion??

Homework Statement

the magnitude of tangential velocity is same but the directions are different..so how can the tangential acceleration be zero??

Homework Equations

The Attempt at a Solution

 

[Hootenanny]

Welcome to Physics Forums.

Homework Statement

the magnitude of tangential velocity is same but the directions are different..so how can the tangential acceleration be zero??

Homework Equations

The Attempt at a Solution

I'm afraid that I don't understand the question.

 

[stallionx]

Homework Statement

the magnitude of tangential velocity is same but the directions are different..so how can the tangential acceleration be zero??

Homework Equations

The Attempt at a Solution

Acceleration vector would point to the center ( 0, 0 ) causing a radial(only) acceleration as in circular motion.

 

[Pi-Bond]

You just answered the question yourself; it's because the tangential velocity (magnitude) is the same. If there were any tangential acceleration, the magnitude would not be constant. The only acceleration in this case is normal acceleration (i.e. centripetal acceleration) which causes the direction to change.

 

[pcsx22]

You just answered the question yourself; it's because the tangential velocity (magnitude) is the same. If there were any tangential acceleration, the magnitude would not be constant. The only acceleration in this case is normal acceleration (i.e. centripetal acceleration) which causes the direction to change.

if tangential acceleration is considered to be zero in uniform circular motion then why is uniform circular motion is called accelerated motion??

 

[Doc Al]

if tangential acceleration is considered to be zero in uniform circular motion then why is uniform circular motion is called accelerated motion??

The velocity vector continually changes direction. Any change in velocity, magnitude or direction, is an acceleration. In uniform circular motion, the magnitude (speed) doesn't change but the direction does. The tangential component of acceleration is zero, but the radial component is not.