What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goesfrom (a) 3 to9 (b) 4 to 7 (c) 7 to10 (d) 12 to9 (e) 1 to 10 (f) 6 to3
Answers
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We may observe that in 1 complete clockwise revolution, the hour hand will rotate by 360°.
(a) When the hour hand goes from 3 to 9 clockwise, it will rotate by 2 right angles or 180° or two right angles .
(b) When the hour hand goes from 4 to 7 clockwise, it will rotate by 1 right angles or 90° or one right angle .
(c) When the hour hand goes from 7 to 10 clockwise, it will rotate by 1 right angles or 90° or one right angle .
(d) When the hour hand goes from 12 to 9 clockwise, it will rotate by 3 right angles or 270° or three right angles.
(e) When the hour hand goes from 1 to 10 clockwise, it will rotate by 3 right angles or 270° or three right angles.
(f) When the hour hand goes from 6 to 3 clockwise, it will rotate by 3 right angles or 270° or three right angles.
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Answer:
we know that 12 hours make 1 full revolution
1 hour = 1/12 revolution
a) 6/12=1/2 revolution (3 to 9 is 6 hours)
b) 3/12=1/4 revolution (4 to 7 is 3 hours)
c)3/12= 1/4 revolution
d) 9/12=3/4 revolution (9 hours)
e) 9/12=3/4 revolution (9 hours)
f) 9/12= 3/4 revolution
hope it helps...