Find the number of revolutions made by a circular wheel of area 1.54 m2 in rolling a distance of 176 m.


Let r be the radius of the circular wheel.


Area = 1.54 m2


πr2 = 1.54


= 0.49


r = 0.7 m


Thus, radius of the circular wheel = 0.7 m


Circumference of the wheel = 2πr = 2 × (22/7) × 0.7 = 4.4 m


Distance travelled by wheel in one revolution = Circumference of circular wheel = 4.4 m


Since, distance travelled by a circular wheel = 176 m


Total distance covered by the wheel = No. of revolutions made by wheel × (Distance


covered in one revolution)


No. of revolutions made by wheel =


= 176/4.4


= 40


Hence, the required number of revolutions made by a circular wheel is 40.


18
1