Question
Download Solution PDFThe radius of a wheel is 21 cm. how many revolution will it make in travelling 924 m?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
To find the number of revolutions the wheel makes, we need to calculate the
circumference of the wheel and then determine how many such
circumferences fit into the total distance travelled.
Formula:
Circumference of the wheel = 2πr
Using π ≈ 22/7
Calculation:
Radius of the wheel = 21 cm
Distance to be travelled = 924 m = 92400 cm
First, we need to find the circumference of the wheel:
Circumference of the wheel = 2 × π × 21 cm
⇒ 2 × (22/7) × 21
⇒ 2 × 22 × 3 = 132 cm
Next, we need to find out how many such circumferences fit into the total
distance travelled (92400 cm):
Number of revolutions = Total distance / Circumference
Number of revolutions = 92400 / 132
Number of revolutions = 700
∴ The number of revolutions the wheel will make is 700.
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