The sweeping second hand of a clock has a rotational speed of 0.10 s⁻¹. The translational speed of the tip at 24 cm from the center is 2.4 cm/s. The rotational acceleration of the second hand is 0 m/s².
The rotational speed (ω) of an object rotating around an axis is the number of turns of the object divided by time. The second hand of a clock rotates an angle of 2π in 60 seconds.
[tex]\omega = \frac{2\pi }{60s} = 0.10 s^{-1}[/tex]
We can calculate the translational speed (v) of the tip at 24 cm (r) from the center using the following expression.
[tex]v = \omega \times r = 0.10s^{-1} \times 24cm = 2.4cm/s[/tex]
The rotational acceleration (α) refers to the change in the rotational speed over time. Since ω is constant, α is zero.
The sweeping second hand of a clock has a rotational speed of 0.10 s⁻¹. The translational speed of the tip at 24 cm from the center is 2.4 cm/s. The rotational acceleration of the second hand is 0 m/s².
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