a) The distance covered during one rotation is 251.20 cm
b) The wheel must complete 40 rotations to covera distance of 100m
Step-by-step explanation:
It is to be understood that a circle when rotated covers a distance equalling its circumference in one rotation.
a) Given the diameter of the cycle’s wheel= 80 cm
Radius of the wheel= 40cm (r= diameter/2)
Circumference of the wheel= 2*3.14*40= 251.20 cm
Distance covered by the wheel in one rotation is 251.2 cm
b) Distance to be covered during competition= 100m
We know that 1 m equals 100 cm Hence, 100 m would equal 10,000 cm
This distance would be covered in successive revolutions of the wheel. Let the wheel make “n” revolutions
Hence distance covered during one revolution* no of revolution= total distance to be covered
251.2n= 10,000
n =10,000/251.2= 38.81
When rounded to the nearest whole number, “n” equals 40
Hence no of revolutions by the wheel is 40
