Question

A particle starts from west at origin the acc of particle a = 4m/s and this acc makes an
an angle 53° with x-axis
find the velocity of particle at t=5sec​

Answer 1

Answer:

Explanation:

Initial angular velocity of the particle     w  

i

​  

=0

Angular acceleration       α=4rad/s  

2

 

Using       w=w  

i

​  

+αt

∴   w=0+αt               ⟹w=αt

Thus radial acceleration     a  

r

​  

=rw  

2

=rα  

2

t  

2

                 ...........(1)

Also tangential acceleration      a  

t

​  

=rα                      ........(2)

Equating (1) and (2) we  get         rα  

2

t  

2

=rα

∴   t  

2

=  

α

1

​  

=  

4

1

​  

                       ⟹t=0.5  s