Question

The second hand of a clock is 3.0cm long. Calculate the speed of the tip of the hand.

Answer 1

Answer : π/10 cm/s = 3.141/10 = 0.3141 cm/s

explanation ->

one rotation time = 60s

radius (r) = 3.0cm

circumference = 2π.r = 2π.3 = 6π

distance travelled by the tip of the hand in 60 seconds = 6π cm

Hence speed = distance / time = 6π/60 = π/10 cm/s = 3.141/10 = 0.3141 cm/s

Answer 2

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$<b><u>Answer</u></b>$

$<b><u>Step-by-step explanation</u></b>$

$<b>Given that,</b>$

The length of second hand = 3.0cm

$<b>We know that,</b>$

$<b>V = WR</b>$

Where, W stands for angular velocity and R for the length of second's hand.

$<b>Also, we know that,</b>$

W = $\frac{2π}{60}$

$<b>But we have to find,</b>$

Angular velocity = ?

$<b>By substituting the above values,</b>$

V = $\frac{2π}{60}$ × 0.03 m/s


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