the minute hand of a clock is 7 cm long find the displacement and the distance covered by it from 9 a.m. to 9:30 a.m.
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DISPLACEMENT = STRAIGHT LINE FROM INITIAL POSITION TO FINAL POSITION.
WE KNOW THAT FROM 9 A.M. TO 9:30 A.M. THERE IS AN ANGLE OF 180 DEGREE WHICH FORMS A STRAIGHT LINE THAT CAN BE SAID AS A DIAMETER OF CIRCLE WHOSE RADIUS IS 7 CM LONG.
SO,
DISPLACEMENT = DIAMETER = 7×2 = 14 CM
DISTANCE IS THE ACTUAL LENGTH COVERED BY AN OBJECT. IT CAN BE CIRCULAR PATH, CURVED PATH, STRAIGHT LINE ETC.
FROM 9 A.M. TO 9:30 A.M. ANGLE BETWEEN ANGLE MADE IS EQUAL 180°.
CIRCUMFERENCE OF CIRCLE OF RADIUS 7 CM = 2 X 22 / 7 X 7 = 44 CM
44 / 2 = 22 CM.
DISTANCE COVERED BY THE MINUTE HAND FROM 9 A.M. TO 9:30 A.M. IS 22 CM.
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