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Question

A particle is located at (4 m,5 m) and moving with v=(5^i4^j) m/s. Find the magnitude of angular velocity about origin at this instant.

A
2 rad/s
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B
1 rad/s
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C
0.5 rad/s
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D
25 rad/s
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Solution

The correct option is B 1 rad/s
It is given that position vector r=4^i+5^j m,
and the velocity vector
v=5^i4^j m/s

Here v.r=(5^i4^j).(4^i+5^j)=0
v and r are perpendicular.

We know that,
ω=vr=vr=4141=1 rad/s

Hence option B is the correct answer



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