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.

Respuesta :

Answer:

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

It takes 6 seconds for the ant to cover half a round.

Speed is the time rate of change of distance. It is given by:

Speed = distance / time

Since the radius of the circle is 21 m:

Distance covered for one round = 2π * radius = 2π(21) = 132 m

Distance covered for half round = 132 m/2 = 66 meter

Time taken to cover half a round:

Speed = distance/time

11 = 66/time

Time = 6 seconds

It takes 6 seconds to cover half a round.

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