An ant is travelling in a uniform circular motion with a speed of 11 m/s. If the radius of the circle is 21 m, find the time taken to cover half a round.

time taken t = 6.00 seconds

the time taken to cover half a round is 6.00 seconds

Explanation:

Given;

Speed of ant v = 11 m/s

radius of Circle r = 21 m

Circumference of a circle

c = 2πr

Half a turn d = c/2 = 2πr/2 = πr

Time taken to cover distance d (half a turn);

time = distance/speed = d/v = πr/v

Substituting the values;

time = (π*21) / 11 = 5.997585975035 seconds

time taken t = 6.00 seconds