Solveeit Logo

Question

Question: A particle is moving along AB at constant speed V. when it is at point P, as shown, its angular velo...

A particle is moving along AB at constant speed V. when it is at point P, as shown, its angular velocity about point O is 3 radian/second. If perpendicular distance of O from AB is 1 m, then its speed V is :

A

3/Ö2 m/s

B

6 m/s

C

3Ö2m/s

D

3Ö3 m/s.

Answer

6 m/s

Explanation

Solution

V^= Vcos 45o; r = 1m/sin450 = Ö2 m

w = V^/r

Ž 3 = V cos450/Ö2 Ž V = 6m/s