Question #255394

An Autonomous Landmine Sweeper is required to search and detect 8 landmines each of area 30 cm² placed in a circular surface area as shown in picture below. The circular test area is 165 cm diameter. While the Vehicle dimensions are 16 cm width and 22 cm length


1
Expert's answer
2021-10-24T01:17:31-0400

Area of Circle Ac=π41652=21382.46cm2A_c =\frac{\pi}{4}165^2 =21382.46 cm^2


Area of Vehicle Vc=16×22=352cm2V_c =16\times22=352 cm^2


Area cover by a vehicle on Circle A=21382.46352=60.74cm2A = \frac{21382.46}{352}=60.74 cm^2


detect 8 landmines each of area 30 cm²N=60.743.75=N = \frac{60.74}{3.75}= , then 1 landmine each of area


A(one)=308=3.75cm2A_(one)=\frac{30}{8}=3.75 cm^2


landmine detect by vehicle N=60.743.75=16N = \frac{60.74}{3.75}=16 Qty




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