A particle is moving in a circle of radius r having centre at O, with a constant speed v. The magnitude of change in velocity in moving from A to B is

Question

A particle is moving in a circle of radius r having centre at O, with a constant speed v. The magnitude of change in velocity in moving from A to B is (A) 2 v (B) 0 (C) √3 v (D) v

Tardigrade Admin · Accepted Answer

[Δ vecV]=2 V sin (θ/2) =2 × V × sin ((60°/2)) =2 × V × (1/2) ⇒ V=|Δ vecV|

Q. A particle is moving in a circle of radius $r$ having centre at $O$ , with a constant speed $v$ . The magnitude of change in velocity in moving from $A$ to $B$ is

$2 v$

$0$

$3 v$

$v$

$[Δ V] = 2 V sin \frac{θ}{2}$
$= 2 \times V \times sin (\frac{6 0 ^{\circ}}{2})$
$= 2 \times V \times \frac{1}{2}$
$\Rightarrow V = ∣Δ V ∣$

Q. A particle is moving in a circle of radius r having centre at O, with a constant speed v. The magnitude of change in velocity in moving from A to B is

2v

0

3​v

v

[ΔV]=2Vsin2θ​ =2×V×sin(260∘​) =2×V×21​ ⇒V=∣ΔV∣

Q. A particle is moving in a circle of radius $r$ having centre at $O$ , with a constant speed $v$ . The magnitude of change in velocity in moving from $A$ to $B$ is

$2 v$

$0$

$3 v$

$v$

$[Δ V] = 2 V sin \frac{θ}{2}$
$= 2 \times V \times sin (\frac{6 0 ^{\circ}}{2})$
$= 2 \times V \times \frac{1}{2}$
$\Rightarrow V = ∣Δ V ∣$