Calculate the speed of the second hand of a watch of length 1.5 cm please elaborate.
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Answer:
Seconds HAND of watch completes 1 revolution in 60 sec ( 1min).
Time = t=60 sec
The length of seconds HAND of watch will be it's radius
r=1.5cm =1.5/100=0.015 m
DISTANCE covered = 2 * pi* r
= 2* 3.14 *0.015
Speed = distance/ time
= 2*3.14*0.015/60
=0.00157 m/ s
= 1.57 x 10 ^-3 m/s.
Therefore , speed of the tip of second's hand of a watch of length 1.5 cm is 1.57 x 10 ^-3 m/s.
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π /30 radians per second
π/ 20 cm per second
2π radians per minute = π/30 radians per second
(π/30)×1.5 = π/20 m/s
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