A particle is located at 3- 4 m and moving with velocity v - 4 - - 3- m-s - Find the magnitude of angular velocity about origin at this instant-

From the question, r = 3î + 4ĵ m nbsp; |r|=√(3^2+4^2)=5 m v = 4î 3ĵ m/s |v|=√(4^2+( 3)^2)=5 m/s Here, v. r = 0 ⇒v amp; r are perpendcular ⇒ω nbsp; = |v ...

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Standard XIII

Physics

Angular Velocity

A particle is...

Question

A particle is located at $(3, 4) m$ and moving with velocity $\to v = (4^i - 3^j) m / s$ . Find the magnitude of angular velocity about origin at this instant.

2 r a d / s

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1 r a d / s

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0.5 r a d / s

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2.5 r a d / s

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Solution

The correct option is B $1 r a d / s$
From the question, $\to r = 3^i + 4^j m$
$| \to r | = \sqrt{3^{2} + 4^{2}} = 5 m$
$\to v = 4^i - 3^j m / s$
$| \to v | = \sqrt{4^{2} + (- 3)^{2}} = 5 m / s$
Here, $\to v . \to r = 0 \Rightarrow \to v$ & $\to r$ are perpendcular
$\Rightarrow ω = \frac{| \to v |}{| \to r |} = \frac{5}{5} = 1 r a d / s$

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A particle is located at (3,4) m and moving with velocity →v=(4^i−3^j) m/s . Find the magnitude of angular velocity about origin at this instant.

The correct option is B 1 rad/sFrom the question, →r=3^i+4^j m |→r|=√32+42=5 m →v=4^i−3^j m/s |→v|=√42+(−3)2=5 m/s Here, →v.→r=0⇒→v & →r are perpendcular ⇒ω=|→v||→r|=55=1 rad/s

A particle is located at $(3, 4) m$ and moving with velocity $\to v = (4^i - 3^j) m / s$ . Find the magnitude of angular velocity about origin at this instant.