Question

If the length of the second hand in a stop clock is 3 cm The angular velocity and linear velocity of the tip is

• A. $0.2047 \,rad / s ; 0.0314 \,m \,s ^{-1}$
• B. $0.2547 \,rad / s ; 0.314 \,m \,s ^{-1}$
• C. $0.1472 \,rad / s ; 0.06314 \,m \,s ^{-1}$
• D. $0.1047 \,rad / s ; 0.00314 \,m s ^{-1}$

Answer 1

Answer: (D)

Here, $r=3 \,cm =3 \times 10^{-2} m , T=60\, s$
$\therefore \omega =\frac{2 \pi}{T}=\frac{2 \times(22 / 7)}{60}=0.1047 rad / s$
$ v=r \omega=\left(3 \times 10^{-2}\right) \times 0.1047$
$=0.00314 \,m \,s ^{-1} $