A particle is moving with a constant speed v in a circle. what is the magnitude of average speed after half rotation?

\frac{2 \sqrt{2} v}{π}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{v}{2 π}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 v

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{2 v}{π}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $\frac{2 v}{π}$
Diameter $= 2 \times$ radius $= 2 R$
Distance covered $=$ Half of circumference
$= π R$
$\Rightarrow$ Speed $= \frac{D i s t a n c e}{T i m e}$

Time $= \frac{D i s t a n c e}{s p e e d} = \frac{π R}{V}$
Average Velocity $= \frac{T o t a l D i s p l a c e m e n t}{T o t a l t i m e} = \frac{2 R \times v}{π R} = \frac{2 v}{π}$
Hence, the answer is $\frac{2 v}{π} .$

Suggest Corrections

Similar questions

Q. A particle is moving with constant speed

v

in circle. What is the magnitude of average velocity after half rotation?

Q. A particle is moving with a constant speed

v

in a circle of radius

R

. What is the magnitude of average acceleration after half revolution?

A solid disc rolls clockwise without slipping over a horizontal path with a constant speed $v$ .Then the magnitude of the velocities of points $A$ , $B$ and $C$ (see figure) with respect to a standing observer are respectively

Q. A particle, moving with uniform speed

v

, changes its direction by angle

θ

in time

t

. Magnitude of its average acceleration during this time is

Q. A particle is moving towards East velocity

V

after some time it is moving with velocity

2 V

towards North. What is magnitude of change in velocity?

Join BYJU'S Learning Program

A particle is moving with a constant speed v in a circle. what is the magnitude of average speed after half rotation?

The correct option is D 2vπDiameter =2× radius =2RDistance covered = Half of circumference =πR⇒ Speed =DistanceTime Time =Distancespeed=πRV Average Velocity =TotalDisplacementTotaltime=2R×vπR=2vπ Hence, the answer is 2vπ.