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3-2.Motion in Plane
medium
A string of length $0.1\,m$ cannot bear a tension more than $100\,N$. It is tied to a body of mass $100\,g$ and rotated in a horizontal circle. The maximum angular velocity can be .......... $rad/sec$
A$100$
B$1000$
C$10000$
D$0.1$
Solution
$r=0.1 \mathrm{m}$
$T=100 N$
$m=100 g=0.1 k g$
Tension $T$ provide both tangential force and centripetal force.
$T=\frac{m v^{2}}{r}$
$T=m \omega^{2} r$
$100=0.1 \times 0.1 \omega^{2}$
$\omega^{2}=10000$
$\omega=\sqrt{10000}$
$\omega=100 r a d / s$
$T=100 N$
$m=100 g=0.1 k g$
Tension $T$ provide both tangential force and centripetal force.
$T=\frac{m v^{2}}{r}$
$T=m \omega^{2} r$
$100=0.1 \times 0.1 \omega^{2}$
$\omega^{2}=10000$
$\omega=\sqrt{10000}$
$\omega=100 r a d / s$
Standard 11
Physics
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