An athlete completes one round of circular track of diameter 700 m calculate distance travelled in half round and displacement in half round
Answers
Answer:
distance covered = 1100 meter
displacement = 700 meter
Step by step explanations :
given that,
An athlete completes one round of circular track of diameter 700 m
here,
diameter of the circular track = 700 m
so,
radius = ½ × diameter
= ½ × 700
so,
radius of the circular track = 350 m
now,
to find,
displacement and distance covered in half rotation
distance covered = total path length
here,
total path length = πr
where,
r is the radius of the circular track,
putting the values,
22/7 × 350
= 1100 m
so,
distance covered by the Athlete = 110 m
displacement = shortest length
here,
displacement = diameter of the track,
so,
diameter = 700 meter,
so,
displacement of the Athlete = 700 meter
___________________
distance covered by the Athlete
= 1100 m
displacement of the Athlete
= 700 meter
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EXPLANATION—
Given-
diameter of track - 700 m
Therefore Radius— d/2=350 m
Now
For full round the distance or circumference = 2πR
For completing the half round of circle, the distance covered will be half of circumference of the circle i.e., d =πR
HERE, d = distance
Now putting radius
d = 22 × 50
d = 1100 m
Therefore the distance covered half round = 1100 m
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Displacement is the shortest distance between initial and final position, so the displacement will be just the diameter of circle. S = 2R =d
Here, displacement =S
And d= diameter
S = 2×350 = 700 m