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A solid body starts rotating about a stationary axis with an angular acceleration a =(0.02)t rad/second square, here t is in seconds. How soon after the beginning of rotation, will the total acceleration vector of an arbitrary point of the body form an angle ?=60, with its velocity vector?

A solid body starts rotating about a stationary axis with an angular acceleration
a =(0.02)t rad/second square, here t is in seconds. How soon after the beginning of rotation, will the total acceleration vector of an arbitrary point of the body form an angle ?=60, with its velocity vector?

Grade:11

1 Answers

Prudhvi teja
83 Points
11 years ago

Dear pavan

To get angle 60 with velocity vector

ar/an= tan60

=>w^2r/ran = 3^0.5

=> w^2 = an*3^0.5

=>w= 0.186

t=w/an(initial w=0)

=9.3sec

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Prudhvi Teja

 

 


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