A object starting from A takes 30 seconds to complete one circular round with radius 10 m find the distance and displacement after 1 min 15 S
Answers
In one complete cycle, it comes back to its initial position, so the displacement of the object is zero. Distance travelled = circumference of the circle = 20
=2x22
x 3.5
=22m
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Step-by-step explanation:
Radius = 10m
Time taken for one round = 30 seconds
1 minute = 60 s
so we can complete 2 rounds in 1 minute, as 1 round is 30 seconds.
in 15 seconds, we can complete half round, as 1 round is 30 seconds, and 15 is half of 30.
therefore we have covered a total of 2 and a half rounds in 1 min 15 s
Distance travelled
circumference of the circle = 2πr
2 × 3.14 × 10
= 62.8 m is the distance travelled in 1 min 15 s
displacement
after covering 2 and a half rounds, we would reach the opposite point of the starting point on the circle.
hence we will use diameter
diameter = 2 × radius
diameter = 20 m
= displacement is 20m
Final Answer
Distance = 62.8 m
Displacement = 20 m
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