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.