A person moves around a circular path of radius 70m he takes 90 s to complete one round find this average speed and velocity after 3 minutes
Answers
Answer:
The diameter of the circular track is given as 200 m. That is, 2r=200 m.
From this radius is calculated as Radius, r = 100 m.
In 40 sec the athlete complete one round. So, in 2 mins and 20 secs, that is, 140 sec the athlete will complete = 140 / 40 = 3.5 (three and a half) rounds.
One round is considered as the circumference of the circular track.
The distance covered in 140 sec = 2πr×3.5=2×3.14×100×3.5=2200 m.
For each complete round the displacement is zero. Therefore for 3 complete rounds, the displacement will be zero.
At the end of his motion, the athlete will be in the diametrically opposite position. That is, displacement = diameter = 200 m.
Hence, the distance covered is 2200 m and the displacement is 200 m.
Explanation:
Answer with Explanation:
radius, r = 70m
Time taken, t = 90s for one round
diameter of the circular path = 2r= 2 x 70= 140m.
"In the motion on a circular path, the displacement after a complete revolution is equal to the diameter of the circular path"
Total length of the Circular Path= 2πr
= 2x22/7x70=440m
(i) Average speed = 440/70=4.88 or 4.9m/s
(ii)Average Velocity= Total Displacement/Given time =140/3x60
=140/180
=0.77m/s