Question

A person moves in a circular path of radius
44m. The person starts from point A moves
through the point o and reached at B
after 60 minutes. What is the speed and
velocity of that person​

Answer 1

SoluTion :

✴ Given :-

• Radius of circle = 44m
• Time taken by person to move from A to B through C = 60min

✴ To Find :-

• Speed of person
• Velocity of person

✴ Concept :-

▪ Speed is defined as ratio of total distance covered to the total time whereas displacement is defined as ratio of total displacement to the total time.

▪ Distance is called as actual length of path.

▪ The shortest distance between initial and final position is called as displacement.

✴ Calculation :-

$\rightarrow\bf\:speed=\dfrac{distance}{time}\\ \\ \rightarrow\sf\:speed=\dfrac{\pi\times r}{t}\\ \\ \rightarrow\sf\:speed=\dfrac{3.14\times 44}{60\times 60}\\ \\ \rightarrow\underline{\underline{\bf{speed=0.038\:mps}}}$

$\leadsto\bf\:velocity=\dfrac{displacement}{time}\\ \\ \leadsto\sf\:velocity=\dfrac{2r}{t}\\ \\ \leadsto\sf\:velocity=\dfrac{2\times 44}{60\times 60}\\ \\ \leadsto\underline{\underline{\bf{displacement=0.024\:mps}}}$

Answer 2

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QUESTION :

See the attachment..

A person moves in a circular path of radius 44m.

The person starts from point A moves through the point o and reached point B after 60 minutes.

What is the speed and velocity of that person.

SOLUTION :

First let us define distance , speed, displacement and velocity .

Distance is a scalar quantity which refers to the total length of path travelled by a body.

Speed refers to the total length of path covered by a body between two fixed points in a definite time interval.

Displacement refers to the shortest distance between two points.

Velocity is defined as the displacement travelled by a particile / body in a definite time interval.

Now, let us solve the above Question...

The particle starts from A and reaches B.

Distance is half the circumference of the circle.

=> Distance = π r = 44 π

Time taken = 60 mins = 3600 Seconds.

Speed = Distance / Time = { 44 π / 3600 } m / s.

Displacement is the diameter of the circle.

Diameter is equal to 2 × Radius..

=> Diameter = 2 × 44 m.

=> 88 m .

Time taken = 60 mins = 3600 Seconds.

Velocity = Displacement / Time = { 88 / 3600 } m / s.

Answer :

The speed and velocity of that person are { 44 π / 3600 } m / s and { 88 / 3600 } m / s respectively..