Question

A body travels along a circular path of radius 50m. After travelling half a
revolution in 30s. Find it's average velocity and speed.

Answer 1

Given

• A body travels along a circular path.
• Radius of circular path (r) = 50m
• Time taken to complete half a revolution (t) = 30s

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To Find

• The body's average velocity and speed.

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Solution

First, we'll deal with the average velocity.

So let's find the displacement of the body first.

We know that,

Displacement of half circle = Diameter of the circular path

(Diameter = 2 × Radius)

Displacement of the body = 2 × 50

Displacement of the body = 100 m

Average Velocity =

$\dfrac{Total \: displacement \: covered}{Total \: time \: taken}$

Average Velocity =

$\dfrac{100}{30}$

Average Velocity =

$\dfrac{10}{3}$

Average Velocity = 3.33 m/s

∴ The average velocity of the body is 3.33 m/s

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Now let's find the distance covered by the body in order to find the average speed.

Distance = Semi-perimeter of circle

Distance = πr

Distance =

$\dfrac{22}{7} \times 50$

Distance =

$\dfrac{1100}{7}$

Distance = 157.14 m

Average Speed =

$\dfrac{Total \: distance \: covered}{Total \: time \: taken}$

Average Speed =

$\dfrac{157.14}{30}$

Average Speed = 5.24 m/s [approx.]

∴The average speed of the body is 5.24 m/s.

∴ The average velocity of the body is 3.33 m/s

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Answer 2

Answer:

Explanation:

given :

• circular path radius = 50 m

• travelling time taken = 30s

to find :

• velocity = ?

• speed = ?

solution :

• please check the attached file