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Grade: 11

                        

a particle starts from the point (0m,8m) and moves with uniform velocity of 3i m/s.after 5 seconds the angular velocity of the particle about the origin will be

3 years ago

Answers : (3)

Arun
24742 Points
							
Particle starts from (0m , 8m) from rest with uniform velocity 3 m/s in the x-direction so after 5 sec the particle will traverse a distance along x-axis is 3*5=15 m so new position of the particle is ​(15m , 8m). So the distance of this new position to the origin is 
\sqrt(15- 0)2 + (8 - 0)2
= 17
Angular velocity about origin is given by
W = v/r
= 3/17 rad/sec
3 years ago
Zameer Ansari
19 Points
							By conservation of angular momentum:   mvr=mVR  vr=VRwhere V is final velocity after 5 sec and R is radius at that moment i.e the position vector at that time.  3×8=V×17  V=24/17  ω=V/R  ω=24/17*17   ω=24/289
						
2 years ago
Rishi Sharma
askIITians Faculty
614 Points
							Dear Student,
Please find below the solution to your problem.

Particle starts from (0m , 8m) from rest with uniform velocity 3 m/s in the x-direction so after 5 sec the particle will traverse a distance along x-axis is 3*5=15 m so new position of the particle is​(15m,8m). So the distance of this new position to the origin is
√(15- 0)^2+ (8 - 0)^2
= 17
Angular velocity about origin is given by
W = v/r
= 3/17 rad/sec

Thanks and Regards
3 months ago
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