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.
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Answer 1

Answer:

We are given:

The radius of the circle is:

r = 50m

The time taken to cover half the circle is:

t = 30 s

The distance covered by the body is equal to the half of the circumference of the circle, while the displacement of the body is equal to the diameter of the circle.

Average velocity is defined as the displacement of an object per unit time.

if,

x is the magnitude of the displacement in time t,

, then:

v= x/t

or, v=(2×50)÷30

or, v= 3.33m/s

The speed of an object is defined as the distance covered per unit time. If

x is the distance covered, then the speed is

v=x/t

The distance covered by the body is equal to half the circumference of the circl. Therefore,

x= πr

or, x=(22×50)÷7

or, x= 157.14

Its speed is:

v=157.14÷30

or, v=5.238

Hence, the average velocity is 3.33m/s and speed is 5.238m/s

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Answer 2

Answer:

half revolution means 2r = 100m

Vavg = total displacement/total time

= 100/30 = 10/3 m/s

Hope it's helpful to you