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

Question

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) (v/√a2+b2) (B) (v/b) (C) (v b/(a2+b2)) (D) (v/a)

Tardigrade Admin · Accepted Answer

v sin θ=r ω v sin θ=√a2+b2 × ω (v/√a2+b2) (b/√a2+b2)=ω (v b/(a2+b2))=ω

Q. 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

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

$\frac{v}{b}$

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

$\frac{v}{a}$

$v sin θ = r ω$
$v sin θ = a^{2} + b^{2} \times ω$
$\frac{v}{a ^{2} + b ^{2}} \frac{b}{a ^{2} + b ^{2}} = ω$
$\frac{v b}{( a ^{2} + b ^{2} )} = ω$

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

a2+b2​v​

bv​

(a2+b2)vb​

av​