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Question

A particle starts from the point (0,8) m and moves with uniform velocity of 3ˆi m/sec. After 5 sec, the angular velocity of the particle about the origin will be

A
8289 rad/sec
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B
38 rad/sec
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C
24289 rad/sec
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D
817 rad/sec
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Solution

The correct option is C 24289 rad/sec
The unit vector ^i is along the X-axis. Hence the velocity is along the X-axis.
Distance covered in 5 sec s=v×t=3×5=15 m
r=82+152=289=17 m


vsinθ is the velocity vector about the origin.
Hence, ω=v sinθr=317×817=24289 rad/sec

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