Question

Starting from rest A particle moves along a circular path with constant angular acceleration of Pi by 4 Radian per second square the time at which the angle between velocity and acceleration of particle become 45°

Answer 1

Answer:

2/√π second

Explanation:

When any particle performs circular motion, it has two acceleration : Centripetal acceleration (directed towards centre) and Tangential acceleration.

The net acceleration is resultant of this two acceleration.

velocity is always tangential i.e. direction of velocity and tangential acceleration is same.

=> the angle between velocity and net acceleration of particle will become 45° when net acceleration will make 45° with tangential acceleration.

and when this situation will occur then tangential acceleration will be equal to centripetal acceleration.

(see fig.)

Ac=At

rw^2 = @r {@=π/4}

w^2=π/4

=> w=√π/2

Now, use the equation

wfinal = winitial + @t