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  • Find the number of revolutions made by a circular wheel of area 1.54 m2 in Rolling a distance of 176 m.

Find the number of revolutions made by a circular wheel of area 1.54 m2 in Rolling a distance of 176 m.

Answers (1)

[40] revolutions

Solution

Circumference of circle =2\pi r

Area of wheel = 1.54m2

Distance = 176 m 

\\\pi r^{2}=1.54\\\\ r^{2}=\frac{154}{100}\times \frac{7}{22}\\\\ r=\sqrt{\frac{539}{1100}}

r  =  0.7m

Circumference   =2\pi r                   

 \\=2 \times \frac{22}{7}\times0.7\\ =2 \times \frac{22}{7}\times \frac{7}{10}\\ =\frac{44}{10}\\ =4.4m

Number of revolution =\frac{\text{distance}}{\text{circumference}}\\

            

=\frac{176}{44}\times 10=40\ revolutions

           

Posted by

infoexpert24

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