Question

the diameter of wheel is 0.70 m. Find the distance covered by it in 500 revolutions. If the wheel takes 5 minutes to make 500 revolution; find its speed in m/s and km/hr​

Answer 1

Diameter = 0.70 m 

Radius, r = 0.35 m 

Distance covered in 1 revolution, i.e. circumference = 2πr = 2 x 22/7 x 0.35 = 2.20 m 

Distance covered in 500 revolutions = 2.20 x 500 = 1100 m 

Time taken = 5 minutes = 5 x 60 = 300 sec.



Answer 2

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Radius of the wheel= 0.70÷2=0.35

distance covered by the wheel=perimeter× number of revolutions

ie, 2×3.14×0.35×500=1099m

speed=distance travelled÷time taken

ie, speed in metre per

second=1099÷(5×60)=3.6m/s

speed in kilometre per hour is,

distance in kilometre=1099÷1000=1.099km

time in hour=5÷60=0.08 hour

ie speed= 1.099×0.08=0.0879 km/hr.