Question

A man is walking on a circular path of radius 7 m.He takes 1min to complete half the circle.Find his speed and velocity. explain Ur ans​

Answer 1

Answer:

distance traveled = circumference/2

=πr

displacement = 2r

speed = d/t = 7π/60 (60 for si units)

velocity = ∆x/t = 14/60=7/30

Answer 2

✬ Speed = 11/30 m/s ✬

✬ Velocity = 7/30 m/s ✬

Explanation:

Given:

• Measure of radius of circular path is 7 m.
• Time taken by man to complete half the circle is 1 minute.

To Find:

• What is the speed and displacement ?

Solution: Diameter of circle will be

➟ Diameter = 2(Radius)

➟ D = 2(7) = 14 m ( this will be also displacement of man )

Distance covered by man in 1 minute is half of the circle i.e half of perimeter.

➟ Distance covered = Semi-Perimeter of circle

➟ Distance = πr

➟ Distance = 22/7(7) = 22 m.

[ 1 minute = 60 seconds ]

As we know that

★ Speed = Distance/Time ★

★ Velocity = Displacement/Time ★

$\implies{\rm }$ Speed = 22/60

$\implies{\rm }$ Speed = 11/30 m/s

Hence, speed of man is 11/30 m/s.

Now finding his velocity

$\implies{\rm }$ Velocity = 14/60

$\implies{\rm }$ Velocity = 7/30 m/s

Hence, velocity of man is 7/30 m/s.