the minute hand of a clock is 7 centimetre long calculate the distance covered a...

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August 2021 1 50 Report

the minute hand of a clock is 7 centimetre long calculate the distance covered and the displacement of minute hand of a clock from 9 a.m. to 9:30 a.m.

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tdm10 Kogiven,
Minute hand=7 cm
since the clock is a circle and the minute hand will be the radius
therefore,C= 2×22/7×7
=44 cm
there fore the distance of from 9 am to 9 30
am will be
Total distance - distance in 15 min
44 - 1/4 ×44(as 15 min is 1/4 of 60 min)
44 - 11
33 cm
Now displacement = shortest distance
join 9 am and 9 30am it will make a right angled triangle
there fore, displacement =
$\sqrt{ {7}^{2} + {7}^{2} }$
$\sqrt{49 + 49 } \\ \sqrt{98} \\$
=9.8 cm

tdm10 no problem

gaurav337 thank you

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