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Time and Speed

Length of a s...

Question

Length of a seconds hand in a clock is 10 cm. Find the displacement of its tip in 20 s

A

10 \sqrt{3} c m

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B

10 cm

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C

20 \sqrt{3} c m

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D

5 cm

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Solution

The correct option is A $10 \sqrt{3} c m$
Displacement $= 2 x$

From the figure,

$x = 10 c o s 30 = \frac{10 \sqrt{3}}{2}$

So,

Displacement $= 2 \times \frac{10 \sqrt{3}}{2} = 10 \sqrt{3} c m$

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