A particle is moving with constant speed v in x y plane as shown in figure. magnitude of its angular

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3-2.Motion in Plane

medium

A particle is moving with constant speed $v$ in $x y$ plane as shown in figure. The magnitude of its angular velocity about point $O$ is .........

A$\frac{v}{\sqrt{a^2+b^2}}$

B$\frac{v}{b}$

C$\frac{v b}{\left(a^2+b^2\right)}$

D$\frac{v}{a}$

Solution

(c)
$V \sin \theta=r \omega$
$v \sin \theta=\sqrt{a^2+b^2} \times \omega$
$\frac{v}{\sqrt{a^2+b^2}} \frac{b}{\sqrt{a^2+b^2}}=\omega$
$\frac{v b}{\left(a^2+b^2\right)}=\omega$

Standard 11

Physics

A particle is revolving in a circle of radius $2\ m$ with angular velocity $\omega = t^2 -4t + 8\ rad/s$ . The time when speed of the particle becomes $8\ m/s$ is ……… $\sec$

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$Assertion$ : When a particle moves in a circle with a uniform speed, its velocity and acceleration both changes.
$Reason$ : The centripetal acceleration in circular motion is dependent on angular velocity of the body.

easy

(AIIMS-2010)

Four particles $A, B, C$ and $D$ are moving with constant speed $v$ each. At the instant shown relative velocity of $A$ with respect to $B, C$ and $D$ are in directions

hard

The linear speed of the tip of seconds hand of a wall clock is $1.05\,cm\,s^{-1}.$ The length of the seconds hand is nearly …….. $cm$

medium

A man is running with constant speed along a circular path of radius $2 \sqrt 2\, m$. He completes $1$ round in $10\, second$. Find instantaneous speed at $2.5 \,sec.$

medium

A particle is moving with constant speed $v$ in $x y$ plane as shown in figure. The magnitude of its angular velocity about point $O$ is .........

Solution

Similar Questions

A particle is revolving in a circle of radius $2\ m$ with angular velocity $\omega = t^2 -4t + 8\ rad/s$ . The time when speed of the particle becomes $8\ m/s$ is ……… $\sec$

$Assertion$ : When a particle moves in a circle with a uniform speed, its velocity and acceleration both changes. $Reason$ : The centripetal acceleration in circular motion is dependent on angular velocity of the body.

Four particles $A, B, C$ and $D$ are moving with constant speed $v$ each. At the instant shown relative velocity of $A$ with respect to $B, C$ and $D$ are in directions

The linear speed of the tip of seconds hand of a wall clock is $1.05\,cm\,s^{-1}.$ The length of the seconds hand is nearly …….. $cm$

A man is running with constant speed along a circular path of radius $2 \sqrt 2\, m$. He completes $1$ round in $10\, second$. Find instantaneous speed at $2.5 \,sec.$

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$Assertion$ : When a particle moves in a circle with a uniform speed, its velocity and acceleration both changes.
$Reason$ : The centripetal acceleration in circular motion is dependent on angular velocity of the body.