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  • Niyamat chacha of village attaches motor's wheel with a machine's wheel by a belt.The length of diameter of motor wheel is 14 cm and machine wheel is 94.5 cm.If motor's wheel revolves 2

Niyamat chacha of village attaches motor's wheel with a machine's wheel by a belt.The length of diameter of motor wheel is 14 cm and machine wheel is 94.5 cm.If motor's wheel revolves 27 times in a second then let us calculate how many times the machine's wheel will revolve in an hour.

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Circumference \(=\pi \times\) diameter

- Circumference of motor wheel: \[ C_m=\pi \times 14=44 cm(\text { approx }) \]

- Circumference of machine wheel: \[ C_M=\pi \times 94.5=296.6 cm(\text { approx }) \]

Distance in \(1 sec =27 \times 44=1188 cm\)

Revolutions/sec of machine wheel \(=\frac{1188}{296.6} \approx 4.006\)

Revolutions \(/\) hout \(=4.006 \times 3600 \approx 14,421.6\)

\(\approx 14,422\) revolutions per hour

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Divya Sharma

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