261 Views

Angular velocity and angular acceleration


Javed Akhtar 10th Aug, 2019
Answer (1)
siddhiarora2311_9776369 Student Expert 13th Aug, 2019

Hey Aspirant!

Angular acceleration is the change in angular velocity divided by time, while tangential acceleration is the change in linear velocity divided by time.

Angular acceleration does not change with radius, but tangential acceleration does.

Measure of how angular velocity changes over time. The rotational analogue of linear acceleration. A vector quantity with counterclockwise defined as the positive direction.

Linear acceleration of a rotating object that is perpendicular to its radial acceleration is tangential acceleration.

 If the body is a point mass, and even if frames are stationary, still the angular velocity and accelerations may or may not come out to be the same.

Consider for example, the case of a uniform circular motion, if the angular velocity is measured about an axis which does NOT pass through the centre, it will be a function of time, this is because the torque of the centripetal force will NOT be zero about such an axis.


On the other hand, consider a point mass moving in a straight line. The angular velocity about axes (passing through all points on a parallel line and perpendicular to the plane of motion) will be the same.It mainly has to do with the expression for torque which comes from what Force the point mass is experiencing. If the torque depends on which axis is chosen, then ω and α will change.If it is not a point mass, then firstly you can not measure ω and α about points which are not on the object/rigid body (unless its acting as the Instantaneous Centre). But, about all points on the rigid body, ω and α will be the same.

Hope it solves your query. 

Best of luck.

Amity University, Noida Law A...
Apply
700+ Campus placements at top national and global law firms, corporates and judiciaries
Amity University Noida B.Tech...
Apply
Among Top 30 National Universities for Engineering (NIRF 2024) | 30+ Specializations | AI Powered Learning & State-of-the-Art Facilities
Amity University Noida MBA Ad...
Apply
Amongst top 3% universities globally (QS Rankings) | Ranked among top 10 B-Schools in India by multiple publications
Amity University, Noida BBA A...
Apply
Ranked amongst top 3% universities globally (QS Rankings)
MAHE Online MBA
Apply
Apply for Online MBA from Manipal Academy of Higher Education (MAHE)
FLAME University | MBA 2026
Apply
NAAC A++ Grade | MBA program graded A** (National) by CRISIL | AACSB, ACBSP and BGA Member
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books