A cyclist moves in a circular path once in every 5 minutes . If the radius of circular path is 100 m . Find the speed
plzz help me for this questi ok n its urgent
Answers
Given that a cyclist moves in a circular path once in every 5 minutes.
{ ∴ time 't' is 5 min }
Also, the radius of the circular path is 100 m.
{ ∴ radius 'r' is 100 m }
We have to find the speed of the cyclist.
Now, firstly convert minutes into seconds. To do this we have to multiply the given time with 60. i.e. 60*5 = 300 seconds.
We have given radius and time. And for finding speed we need to find the value of distance too.
Now,
Distance covered in one circular path is equal to the Circumference of the circular path i.e. 2 πr.
Distance covered by the cyclist = 2 × 3.14 × 100 = 628 m
Now, the relation between speed, distance and time is given by:
Speed = Distance/Time
⇒ 628/300
⇒ 2.09 = 2.1 (approx.)
Therefore, the speed of the cyclist is 2.1 m/s
GIVEN:
radius=100m
time=5 min=5×60sec=300 sec
SOLUTION:
Distance covered
= Circumference of the circle
=2×22/7×100
=628.5m
Speed=distance/time
Speed=628.5/300=2.09m/s
I hope this helps