The linear velocity of a rotating body is given by v=ω→×r→ where ω→ is the angular velocity and r→ is the radius vector. The angular velocity of body ω→=i−2j+2k and their radius vector r→= 4i-3k, then |v| is
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a
29 units
b
31 units
c
37 units
d
41 units
answer is A.
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Detailed Solution
v=ω→×r→ where ω→=i−2j+2k and r→=4j−3k=ijk1−2204−3=i(6−8)+j(0+3)+k(4+0)=−2i+3j+4k∴|v|=(−2)2+(3)2+(4)2=(29)