मराठी

A Bucket is Raised from a Well by Means of a Rope Which is Wound Round a Wheel of Diameter 77 Cm. Given that the Ascends in 1 Minute 28 Seconds with a Uniform Speed of 1.1 M/Sec - Mathematics

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प्रश्न

A bucket is raised from a well by means of a rope which is wound round a wheel of diameter 77 cm. Given that the ascends in 1 minute 28 seconds with a uniform speed of 1.1 m/sec, calculate the number of complete revolutions the wheel makes in raising the bucket. (Take π =22/7)

बेरीज
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उत्तर

Distance moved by the bucket = speed x Time
= [ 1.1 x 88 ] metre      ...[ ∵ 1 min 28 sec = 60 + 28 = 88 sec.]
= 96.8 metres

Circumference of wheel = 2πr
= `2 xx 22/7 xx 77/2 "cm"      ...( ∵ r = d/2 = 77/2 "cm")`
= 242 cm
= 2.42 metres

∴ Number of complete revolutions the wheel makes in rising the bucket
= `"Distance"/"Circumference"`

= `(96.8/2.42)` = 40.

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