A child moving on a circular track of radius 40 meter complete one revolution in 5 minute
what is his average speed and average velocity in full revolution.
Answers
Here,
Radius = 40m
circumference= π×40^(2)
= 5026.5m
So,
distance travelled = 5026.5m
Time taken = 5min/ 300sec
Average speed = Distance/ time
= 5026.5/ 300
= 16.75m/sec
After completing one revolution the total displacement of the child is zero
Hence,
Averege velocity = Displacement/ time
= 0/300sec
= 0
Therefore the speed of the boy is 0.84 m/s and the velocity of the boy is 0 m/s.
Given:
The radius of the circular track = 40 m
Time taken to complete 1 revolution = 5 minutes
To Find:
The average speed and the average velocity in full revolution.
Solution:
The given question can be solved as shown below.
Given that,
The radius of the circular track = 40 m
Time taken to complete 1 revolution = 5 minutes = 5 × 60 seconds = 300 seconds
Distance traveled by the boy = circumference of the circle = 2πr = 80π
Displacement traveled by the boy = Shortest distance between the initial point and final point
For full revolution, the initial point and final point coincide, So displacement = 0
⇒ Average speed = ( Total distance )/( Total time ) = 80π/300 = 4π/15 m/s = 0.84 m/s
⇒ Average velocity = ( Total displacement )/( Total time ) =0/300 = 0 m/s
Therefore the speed of the boy is 0.84 m/s and the velocity of the boy is 0 m/s.
#SPJ2