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Byju's Answer
Standard XII
Mathematics
Definition of Sets
Which of the ...
Question
Which of the following relation is not correct?
A
→
V
=
→
ω
×
→
r
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B
→
V
=
→
r
×
→
ω
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C
→
δ
s
=
→
δ
θ
×
→
r
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D
V
=
r
ω
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Solution
The correct option is
D
→
V
=
→
r
×
→
ω
Correct equation is:
→
v
=
→
ω
×
→
r
=
−
→
r
×
→
ω
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Similar questions
Q.
In U. C. M. (Uniform Circular Motion), prove the relation
→
v
=
→
ω
×
→
r
, where symbols have their usual meanings.
Q.
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 a body is
→
ω
=
^
i
−
2
^
j
+
2
^
k
and the radius vector
→
r
=
4
^
j
−
3
^
k
, then
|
→
v
|
is:
Q.
A particle is moving along a circular path. The angular velocity, linear velocity, angular acceleration, and centripetal acceleration of the particle at any instant, respectively are
→
ω
,
→
v
,
→
α
and
→
a
c
. Which of the following relations is not correct?
Q.
Assertion: Vector product of two vectors is an axial vector.
Reason: For a body under rotation, if
→
v
=
instantaneous velocity,
→
r
=
radius vector and
→
ω
=
angular velocity, then
→
ω
=
→
v
×
→
r
.
Q.
Given,
→
ω
=
2
∧
k
and
→
r
=
2
∧
i
+
2
∧
j
. Find the linear velocity.
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