a. 2.095 rad
b. 3.125 rad
c. 1.12 rad
d. 5.421 rad
Solution:
Angular displacement of a
body is the angle in radians through which a point revolves around a centre or
line has been rotated in a specified sense about a specified axis.
And,
Angular velocity can be
defined as the rate of change of angular displacement.
\[ \omega = \frac { \theta }
{ t } \]
Therefore,
\[\theta=\omega *t\]
\[\theta=\frac{2*\pi }{T}
*t\]
( Where, T is time period of
minute hand. i.e. time required to complete one revolution= 1hr=60 minutes =
3600 second )
\[\theta=\frac{2*3.14}{3600}
*20*60 \]
\[\theta=2.0943 rad\]
Therefore, the angular
displacement of minute hand in 20 minutes is \[\theta=2.095 rad\].
(i.e. option 'a' is correct)
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