Question

The minute hand of a clock is 20cm long.find (a),the distance covered (b) the displacement of the clock from 9:00am. to 9:30am.

Answer 1

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Explanation:

Length of the minute hand = 20 cm = 0.2 m

Let the positions be like :

(See attachment for clearance)

From 9 :00 am to 9:30 am , the minute hand of the clock moves from position A to position C along the position C along the path ABC .

So ,

a) The distance ABC covered by minute hand =

Length of circular arc ABC =

πl = (22/7) × 0.2 m = 0.63 m

The required distance = 0.63 m

b) The displacement of the minute hand =

length of the chord AOC =

2l = 2 × 0.2 = 0.4 m

The required displacement = 0.4 m