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    				| 1. | Find the number of revolutions made by a circular wheel of area `1.54m^(2)` in rolling a distance of 176 m. | 
| Answer» Let the number of revolutions made by a circular wheel be n and the radius of circular wheel be r. Given that, area of circular wheel = `1.54m^(2)` `rArrpir^(2)=1.54` [`because` area of circular = `pir^(2)`] `rArr r^(2)= (1.54)/(22)xx7rArrr^(2) = 0.49` `:.r = 0.7m` So, the radius of the wheel is `0.7m`. Distance travelled by a circlular wheel in one revolution = Circumference of circular wheel = `2pir` = `2xx(22)/(7)xx0.7=(22)/(5)=4.4m` [`because` circumference of a circle = `2pir`] Since, distance travelled by a circular wheel = 176m `:.` Number of revolutions = `("Total distance")/("Distance in one revolution")=(176)/(4.4)=40` Hence, the required number of revolutions made by a circular wheel is 40. | |