The diameter of a wheel is 49 cm. The number of revolutions in which i

1.	The diameter of a wheel is 49 cm. The number of revolutions in which it will have to cover a distance of 770 m, is:1. 5002. 4003. 6004. 700
Answer» Correct Answer - Option 1 : 500 Given: Diameter of wheel = 49 cm ∴ Radius of wheel = 49/2 = 24.5 cm Total distance to cover = 770 m = 77000 cm Concept: The distance covered by the wheel is the number of revolutions the wheel makes. The distance covered by the wheel in one revolution is the measure of its circumference. Formula used: Circumference of circle = 2πr Number of revolution taken = Total distance/Circumference Calculation: ∵ Circumference of circle = 2πr = 2 × (22/7) × (49/2) = 154 cm ∴ Number of revolution taken by the wheel = 77000/154 = 500 revolutions

The diameter of a wheel is 49 cm. The number of revolutions in which it will have to cover a distance of 770 m, is:1. 5002. 4003. 6004. 700

Answer» Correct Answer - Option 1 : 500

Given:

Diameter of wheel = 49 cm

∴ Radius of wheel = 49/2 = 24.5 cm

Total distance to cover = 770 m = 77000 cm

Concept:

The distance covered by the wheel is the number of revolutions the wheel makes. The distance covered by the wheel in one revolution is the measure of its circumference.

Formula used:

Circumference of circle = 2πr

Number of revolution taken = Total distance/Circumference

Calculation:

∵ Circumference of circle = 2πr

= 2 × (22/7) × (49/2)

= 154 cm

∴ Number of revolution taken by the wheel = 77000/154

= 500 revolutions

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