If a body is moving on a circular track of radius 14 and complete 2.5 rounds. find the total distance and displacement covered by it
Answers
Answer:
total distance covered will be 2.5*circumference of the track =2.5*2 *22/7*14 units =220 units
displacement is the shortest distance between the initial and the final point and here it is the diameter of the circle i.e. 28 units
Given : a body is moving on a circular track of radius 14 and complete 2.5 rounds.
To find : the total distance and displacement covered
Solution:
Radius = 14 cm
Distance covered in 1 round = Circumference of circular track
=> Distance covered in 1 Round = 2πR
π = 22/7 R = 14
=> Distance covered in 1 Round = 2 (22/7) * 14
= 88
Distance Covered in 2.5 Rounds = 88 * 2.5
= 220 units
To find Displacement we need to find position after 2.5 round
Each round 360 deg
=> 2.5 round = 2 * 360 + 0.5 * 360
= 180 deg ( effectively )
=> its is just opposite to initial position
Hence Displacement = Diameter = 2 * radius
= 2 * 14
= 28 unit
Distance Covered in 2.5 Rounds = 220 unit
Displacement after 2.5 Rounds = 28 unit
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