A person is jogging around a circular park of Radius 200 m with the speed of 5 m/s.
Calculate the time to complete one revolution to the park and the frequency.
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A person is jogging around a circular park of Radius 200 m with the speed of 5 m/s.
Calculate the time to complete one revolution to the park and the frequency.
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Explanation:
Given:-
A person is jogging around a circular park of Radius 200 m with the speed of 5 m/s.
To find:-
Calculate the time to complete one revolution to the park and the frequency.?
Solution:-
Given that
The radius of the circular park = 200 m
r = 200 m
Distance covered by the man in one round
=> Circumference of a circle
=> 2πr units
On taking π=3.14
=> 2×3.14×200 m
=> 1256.00 m
Distance covered by one revolution by the man
= 1256 m
Speed of the man = 5 m/s
We know that
Distance = Speed × Time
=> Time = Distance / Speed
=> Time = 1256/5 sec
=> Time = 251 1/5 sec or 251.2 sec
The time taken for one complete revolution by the man is 251 1/5 sec or 251.2 sec
We know that
Frequency of the one revolution
= 1/ Time taken for one revolution
= 1/t
=>1/251.2 revolutions/sec
=> 1/(1256/5) revolutions/sec
=>5/1256 revolutions/sec
=> 0.00389...revolutions/sec
=> 0.004 revolutions/sec (approximately)
Answer:-
The time taken for one complete revolution by the man is 251 1/5 sec or 251.2 sec
Frequency= 0.004 revolutions/sec (approximately)
Used formulae:-
Answer: