A car is going with constant speed on a circular path. If it starts from point A at t = 0 and reaches diametrically opposite point B after 2 sec then find its angular velocity.

$π$

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$\frac{π}{2}$

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$\frac{3 π}{2}$

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$2 π$

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Solution

The correct option is B
$\frac{π}{2}$

In going from A to B the car is displaced by an angle of $180^{\circ}$ .

So, angular displacement = $π$ radians

Time = 2 sec

Angular velocity = $\frac{a n g u l a r d i s p l a c e m e n t}{t i m e}$
$ω = \frac{π}{2} \frac{r a d}{s e c}$

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A car is going with constant speed on a circular path. If it starts from point A at t = 0 and reaches diametrically opposite point B after 2 sec then find its angular velocity.

The correct option is B π2 In going from A to B the car is displaced by an angle of 180∘. So, angular displacement = π radians Time = 2 sec Angular velocity = angular displacementtime ω=π2radsec

The correct option is B
$\frac{π}{2}$

In going from A to B the car is displaced by an angle of $180^{\circ}$ .

So, angular displacement = $π$ radians

Time = 2 sec

Angular velocity = $\frac{a n g u l a r d i s p l a c e m e n t}{t i m e}$
$ω = \frac{π}{2} \frac{r a d}{s e c}$