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 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
$\frac{v}{a}$
Similar Questions
A ball of mass $( m )=0.5 \ kg$ is attached to the end of a string having length $(L)$ $=0.5 m$. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is $324 \ N$. The maximum possible value of angular velocity of ball (in radian/s) is
A ball of mass $( m )=0.5 \ kg$ is attached to the end of a string having length $(L)$ $=0.5 m$. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is $324 \ N$. The maximum possible value of angular velocity of ball (in radian/s) is
- [IIT 2011]
Centripetal acceleration of a cyclist completing $7$ rounds in a minute along a circular track of radius $5 \,m$ with a constant speed, is ......... $m / s ^2$
Centripetal acceleration of a cyclist completing $7$ rounds in a minute along a circular track of radius $5 \,m$ with a constant speed, is ......... $m / s ^2$
A conical pendulum is moving in a circle with angular velocity $\omega $ as shown. If tension in the string is $T$ , which of following equation are correct?
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The acceleration vector of a particle in uniform circular motion averaged over the cycle is a null vector. This statement is
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A huge circular arc of length $4.4$ $ly$ subtends an angle $'4 {s}'$ at the centre of the circle. How long it would take for a body to complete $4$ revolution if its speed is $8 \;AU\;per\, second \;?$
Given : $1\, {ly}=9.46 \times 10^{15} \,{m},$ $\, {AU}=1.5 \times 10^{11}\, {m}$
A huge circular arc of length $4.4$ $ly$ subtends an angle $'4 {s}'$ at the centre of the circle. How long it would take for a body to complete $4$ revolution if its speed is $8 \;AU\;per\, second \;?$
Given : $1\, {ly}=9.46 \times 10^{15} \,{m},$ $\, {AU}=1.5 \times 10^{11}\, {m}$
- [JEE MAIN 2021]