The velocity of the tip of the second hand is 0.0158 m/s
Explanation:
First of all, we need to calculate the angular velocity of the second hand.
We know that the second hand completes one full circle in
T = 60 seconds
Therefore, its angular velocity is:
[tex]\omega = \frac{2\pi}{T}=\frac{2\pi}{(60)}=0.105 rad/s[/tex]
Now we can calculate the velocity of a point on the tip of the hand by using the formula
[tex]v=\omega r[/tex]
where
[tex]\omega=0.105 rad/s[/tex] is the angular velocity
r = 15 cm = 0.15 m is the radius of the circle (the distance of the point from the centre of rotation)
Substituting,
[tex]v=(0.105)(0.15)=0.0158 m/s[/tex]
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