|Mar15-12, 07:44 PM||#1|
Angular acceleration and angular velocity
1. The problem statement, all variables and given/known data
Calculate the angular acceleration and angular velocity of a 4 kg object rotating in a circle of 3 m radius in a time of 6 s.
2. Relevant equations
3. The attempt at a solution
Angular acceleration = ω2*r
6.28/6= 2.09 rad/sec
Angular acceleration= (2.09)2*3=12.54???????
Angular velocity= angular displacement/time ????
I just want to check whether my working is correct or not.
|Mar15-12, 07:57 PM||#2|
Nope.Its not right.
Remember, angular acceleration is dw/dt.
The acceleration w^2*r is centripetal accelwration.
Infact writing angular acceleration as w^2*r is dimemsionally inconsistent.
As nothing had been told about how w changes with time nothing can be said about angular acceleration.
In such cases w is assumed to be constant making angular acceleration 0
|Mar16-12, 06:14 AM||#3|
angular acceleration = 0
what about angular velocity?
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