Question

a circular has a circumfrence of 3140m with ab as one of its diameter scooterist moves from a to b along the circular path with a uniform speed of 10m/s find find its distance displacemet and time taken by scooterist in reaching from a to b

Answer 1

Hi friend,


This is your required answer.

Given,


Circumference of circular track=2=3140m

where r=radius of circle

Now according to question,Scooter moves from a to b along the circular path (where ab is diameter).It means scooter completes half a revolution(circumference/2).

So,

Distance travelled=The actual path traversed by scooter=2/2=3140/2=1570 m

Again,

Displacement=The shortest distance travelled by scooter(Final position-Initial position)=Diameter of the circle=2r

Since 2=3140m (here =3.14)

2r=3140/3.14=1000 m.

To calculate the time taken by the scooter in reaching from a to b,we have a formula

Speed=Distance/Time

Time=Distance/Speed=1570/10=157 seconds.

Hope this helps you..☺☺

Answer 2

If the circumference is 3140 metres and AB is the diameter. Then the Distance from A to B would be half the circumference i.e. 3140 ÷ 2 = 1570 metres.
Now,The units are Distance = 1570 m
Speed = 10 m/s
So Time = Distance ÷ Speed
=>1570 ÷ 10 = 157 seconds
And the Displacement is the Diameter.
So,π=Circumference÷Diameter
π × Diameter = Circumference
Diameter = Circumference ÷ π
(To make things Simpler we are taking the first Three 3 digits of pi i.e. 3.14 as 22/7 = 3.1415...........)
=>3140 ÷ 3.14
=>3140 ÷ 3.14 = 1000
So the Displacement or Diameter = 1000 Metres
And the Time = 157 seconds.