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Question

What is the value of linear velocity. If ω=3^i+4^j+^k and r=5^i6^j+6^k

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Solution

v=w×r=(3ˆi+4ˆj+ˆk)×(5ˆi6ˆj+6ˆk)=ijk341566=i4166j3156+k3456=i(24+6)j(185)+k(1820)=30ˆi13ˆj38ˆkv=(30)2+(13)2+(38)2v=50m/s


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