Question

A person is running along a circular track of area 64pie m. If he is in uniform circular motion then the average speed of the person in 4s of time interval will be

Answer 1

See the pic I have attached

Answer 2

Answer:

The average speed of uniform circular motion (area = 64π m²)  in 4s is 4π m/s.

Explanation:

Given that,

area = 64π m²

time = 4s

we know that Area of circle = πr² ,  where r is the the radius

r² = area / π = 64π / π = 64

⇒r = √64 = 8m

circumference of circle is given by

      C = 2πr

⇒       = 2π×8 = 16π m

the speed is given by,

   average speed = distance / time

⇒               = 16π / 4 = 4π m/s

Average speed of the person is 4π m/s