Angular speed of second's hand of watch in rad/sec is???
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OpenStudy (anonymous):
@Abhisar
OpenStudy (abhisar):
v=omega*r
OpenStudy (anonymous):
ok
OpenStudy (abhisar):
actually don need to use that formula
We simply divide the amount of degrees it covers by the amount of time it takes.
Thus,
360 degrees in 60 seconds
6 degrees per second.
Now, you may want to know it in radians. To find the angular speed in radians you simply convert degrees to radians.
(6 deg) * (pi rad) / (180 deg) to convert 6 degrees into radians
= (1/30) * pi radians
.0333 * pi radians per second
or
.1037 rad / sec
OpenStudy (abhisar):
getting it ?
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
and in case of minute hand?
OpenStudy (anonymous):
@Abhisar are u there???
OpenStudy (anonymous):
(2 x pi ) / 60 = 0.1047 rad /s
OpenStudy (abhisar):
all clear ?
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OpenStudy (anonymous):
and in case of minute hand?
OpenStudy (anonymous):
2*pi/3600 rad/sec? in case of minute's hand
OpenStudy (abhisar):
Minute hand covers 360° in 3600 seconds or one hour, so 0.1° per second
OpenStudy (anonymous):
2*pi/3600 rad/sec right
OpenStudy (abhisar):
(0.1 * pi)/180 rad/sec
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