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.