Math, asked by shreyashsaste76, 4 months ago

calculate the time required for sowing 1.6 hectare of land by five furrows seed drill going 12.5cm deep. the speed of seed drill is 3.2kmph and pressure exerted by the soil on the seed drill is 0.42kg/cm2. the space between furrow openers is 10cm and loss in turning is 10per cent​

Answers

Answered by shkulsum3
0

The time required for sowing 1.6 hectares of land by a five furrows seed drill is 4.3 minutes.

To calculate the time required for sowing 1.6 hectares of land by a five furrows seed drill, we need to use the following information:

Speed of seed drill: 3.2 km/h

Pressure exerted by the soil on the seed drill: 0.42 kg/cm²

Depth of the furrows: 12.5 cm

Space between furrow openers: 10 cm

Loss in turning: 10%

Step 1: Convert the speed of the seed drill from km/h to cm/min.

3.2 km/h = (3.2 x 100,000 cm/km) / 60 min/h = 5,333.33 cm/min

Step 2: Calculate the area of land covered by one furrow.

Area = (width x depth) = (10 cm x 12.5 cm) = 125 cm²

Step 3: Calculate the total area covered by five furrows.

Total area = 5 x 125 cm² = 625 cm²

Step 4: Calculate the total number of furrows required to cover 1.6 hectares of land.

1.6 hectares = 1,600,000 cm²

Number of furrows = 1,600,000 cm² / 625 cm² = 2,560

Step 5: Calculate the total distance covered by the seed drill.

Distance = Number of furrows x width of furrow = 2,560 x 10 cm = 25,600 cm

Step 6: Calculate the time taken to cover the distance, taking into account the loss in turning.

Loss in turning = 10% = 0.1

Effective distance = Distance x (1 - Loss in turning)

= 25,600 cm x (1 - 0.1)

= 23,040 cm

Time = (Distance / Speed) + (Pressure / Force)

= (23,040 cm / 5,333.33 cm/min) + (0.42 kg/cm² / 0.42 kg/cm²)

= 4.3 min

So the time required for sowing 1.6 hectares of land by a five furrows seed drill is 4.3 minutes.

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