a cyclist goes around a circular track once every 2 min if the radius of the circular track is 105 meters. calculate it's speed
Answers
Answer:
52.5 m/s
Explanation:
If you want explanation please tell me
Average Speed =(Distance ÷Time)m/s
=105 ÷2 =52.5m/s
In the there is no accurate data that the cyclist is moved in a circle or semicircle.I have given the answer of semicircle.
If you like my answer Please mark me as brainliest. . .
Question :-
A cyclist goes around a circular path once every 2 minutes . If the radius of the circular path is 105 meters . Calculate the speed of the cyclist ?
Answer :-
Given :-
A cyclist goes around a circular path once every 2 minutes .
Radius of the circular path = 105 meters
Required to find :-
Speed of the cyclist ?
Time
Distance
Solution :-
Given information :-
A cyclist goes around a circular path once every 2 minutes .
Radius of the circular path = 105 meters
we need to find the speed of the cyclist .
In order to find the speed we need to know the distance & time .
So,
Let's find the distance and time
Here,
we need to apply a bit logic . The logic is that ;
The cyclist goes around a circular path . which means he goes around the boundary of the circular path .
which gives us a clue that ;
If we calculate the perimeter/circumference of the circular path then we can find the distance .
This is because,
Distance travelled by the cyclist = Perimeter of the cyclist
So,
Using the formula ;
Perimeter of the circle = 2 π r
=> 2 x 22/7 X 105
=> 2 x 22 x 15
=> 44 x 15
=> 660 meters
Hence,
Distance = 660 meters
Now let's find the time ;
Since it is mentioned that ,
A cyclist goes around a circular path once every 2 minutes .
so, it means that he takes 2 minutes to go around around the circular path
Hence,
Time = 2 minutes
Now,
let's convert this time from minutes to seconds .
Because, the distance in given in terms of meters .
So,
1 minute = 60 seconds
2 minutes = ?
=> 2 x 60
=> 120 seconds
Using the formula ;
Speed = 660/120
Speed = 66/12
speed = 33/6
Speed = 5.5 m/s
Therefore,
Speed of the cyclist = 5.5 m/s