8. Find the difference between the distance covered by the minute hand (3.5 cm) of a clock in one rotation. and hour hand 2. 1cm) of a clock of one rotation
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Answer:
Each of them describe a circular path.
The hour hand :
It makes one revolution in 12 hrs
In 27 hrs it makes :
27/12 = 2.25 revolutions.
In one revolution it covers :
3.142 × 2 × 4 = 25.136 cm
In 2.25 revolutions it covers :
2.25 × 25. 136 = 56.556cm
The minute hand :
In one revolution it takes 1 hr.
In 27 hrs it makes 27 revolutions.
Distance covered in one revolution is :
3.142 × 2 × 5 = 31.42 cm
In 27 revolutions it covers :
27 × 31.42 = 848.34cm
The difference of the distances covered is :
848.34 - 56.556 = 791.784 cm
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