A circular track has a circumference of 3140m with AB as one of its diameter . A body moves from Ato B alone the circular path with a uniform speed of 10m/s. Find distance displacement and
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11th
Physics
Systems of Particles and Rotational Motion
Angular Velocity and its Relation with Linear Velocity
A circular track has a circ...
PHYSICS
A circular track has a circumference of 3140 m with AB as one of its diameter shooter moves from A to B along the circular path with a uniform speed of 10
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Given,
Circumference of circular track=2πr=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
3140
=1570 m
Again,Displacement=The shortest distance travelled by scooter(Final position−Initial position)
=Diameter of the circle=2r
Since 2πr=3140m (hereπ=3.14)
2r=
3.14
3140
=1000 m.
To calculate the time taken by the scooter in reaching from A to B,we have a formula
Speed=
Time
Distance
Time=
Speed
Distance
=
10
1570
=157 seconds
Explanation:
Given,
Circumference of circular track=2πr=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
3140
=1570 m
Again,Displacement=The shortest distance travelled by scooter(Final position−Initial position)
=Diameter of the circle=2r
Since 2πr=3140m (hereπ=3.14)
2r=
3.14
3140
=1000 m.
To calculate the time taken by the scooter in reaching from A to B,we have a formula
Speed=
Time
Distance
Time=
Speed
Distance
=
10
1570
=157 seconds.