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Old Oct 23rd 2017, 07:19 AM   #1
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Circular motion

A body is moving on a circle of radius 80m with a speed of 20m/s which is decreasing at the rate 5 m/sec^2 at an instant. The angle made by its acceleration with its velocity is ?

Tangential acceleration = 5 m/s^2
Centripetal acceleration = v^2 / r = 5
Angle btw them alpha = 45 degree
How do I find angle btw omega and centripetal acceleration ??
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Old Oct 23rd 2017, 07:59 AM   #2
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Originally Posted by vaDi999 View Post
A body is moving on a circle of radius 80m with a speed of 20m/s which is decreasing at the rate 5 m/sec^2 at an instant. The angle made by its acceleration with its velocity is ?

Tangential acceleration = 5 m/s^2
Centripetal acceleration = v^2 / r = 5
Angle btw them alpha = 45 degree
How do I find angle btw omega and centripetal acceleration ??
Hint: $\displaystyle v = r \omega$ where v is the tangential speed, which you were given. Can you think of a relationship between a and $\displaystyle \alpha$?

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