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In circular motion, what are the possible values (zero, positi

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Easy

Solving time: 2 mins

In circular motion, what are the possible values (zero, positive or negative) of the following :
(a) $ω \cdot v$
(b) $v \cdot a$
(c) $ω \cdot α$

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Book:

Mechanics Volume 1 (DC Pandey)

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Camila Discussed

In circular motion, what are the possible values (zero, positive or negative) of the following :
(a)

ω \cdot v

(b)

v \cdot a

(c)

ω \cdot α

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

(a)

v

lies in the plane of circle and

ω

is always perpendicular to this plane.

∴

v ⊥ ω

(always)
Hence,

ω \cdot v

is always zero.
(b)

v

and a both lie in the plane of circle and the angle between these two vectors may be acute (when speed is increasing) obtuse (when speed is decreasing) or

9 0^{\circ}

(when speed is constant).
Hence,

v \cdot a

may be positive, negative or zero.
(c)

ω

and

α

are either parallel

(θ = 0^{\circ}

between

ω

and

α)

or antiparallel

(θ = 18 0^{\circ})

. In uniform circular motion,

α

has zero magnitude. Hence,

ω \cdot α

may be positive, negative or zero.

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Question Text	In circular motion, what are the possible values (zero, positive or negative) of the following : (a) $ω \cdot v$ (b) $v \cdot a$ (c) $ω \cdot α$
Topic	Motion in a Plane
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	143

In circular motion, what are the possible values (zero, positive or negative) of the following :
(a) $ω \cdot v$
(b) $v \cdot a$
(c) $ω \cdot α$

Text solutionVerified

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In circular motion, what are the possible values (zero, positive or negative) of the following :
(a) $ω \cdot v$
(b) $v \cdot a$
(c) $ω \cdot α$