Angular velocity of minute hand of a clock is
$8 π r a d / s$
$\frac{π}{30} r a d / s$
$\frac{π}{1800} r a d / s$
$\frac{2 π}{1800} r a d / s$

Question

Angular velocity of minute hand of a clock is-8pi-rad-s-displaystylefrac-pi-30-rad-s-displaystylefrac-pi-1800-rad-s-displaystylefrac-2pi-1800-rad-s

Toppr Admin · Accepted Answer

Time taken by minute hand to rotate by 2-x3C0- radians -xA0- -xA0- -xA0-t-1 hr-3600 -xA0-s-x2234- -xA0- Its angular velocity -xA0- -xA0- -xA0-w-x3B8-t-2-x3C0-3600-x3C0-1800 -xA0- -xA0-rad-s

Angular velocity of minute hand of a clock is8πrad/sπ30rad/sπ1800rad/s2π1800rad/s

Time taken by minute hand to rotate by 2π radians t=1 hr=3600 s∴ Its angular velocity w=θt=2π3600=π1800 rad/s

Angular velocity of minute hand of a clock is
$8 π r a d / s$
$\frac{π}{30} r a d / s$
$\frac{π}{1800} r a d / s$
$\frac{2 π}{1800} r a d / s$

Time taken by minute hand to rotate by $2 π$ radians $t = 1$ $h r = 3600$ s
$∴$ Its angular velocity $w = \frac{θ}{t} = \frac{2 π}{3600} = \frac{π}{1800}$ $r a d / s$