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3-2.Motion in Plane
medium
The ratio of angular speeds of minute hand and hour hand of a watch is
A$1:12$
B$6:1$
C$12:1$
D$1:6$
Solution
(c) ${\omega _{\min }} = \frac{{2\pi }}{{60}}\;\frac{{Rad}}{{min}}$ and ${\omega _{hr}} = \frac{{2\pi }}{{12 \times 60}}\;\frac{{Rad}}{{min}}$
$\frac{{{\omega _{\min }}}}{{{\omega _{hr}}}} = \frac{{2\pi /60}}{{2\pi /12 \times 60}}$
$\frac{{{\omega _{\min }}}}{{{\omega _{hr}}}} = \frac{{2\pi /60}}{{2\pi /12 \times 60}}$
Standard 11
Physics