Determine the horse power required to pull a 4-bottom 30 cm plough, working to a depth of 15 cm. The tractor is operating at a speed of 6km/hr. The soil resistance is 0.7kg/cm^2.
To determine the horsepower required to pull a plow, we can use the following equation:
Horsepower = (Force × Distance) ÷ (Time × 735.5)
First, let's calculate the force needed to pull the plow:
Force = Area × Resistance
= (Number of bottom plows × Width of each plow) × Resistance
= (4 × 30 cm) × 0.7 kg/cm^2
Next, let's convert the units:
Force = (4 × 0.3 m) × 0.7 kg/cm^2
= 0.42 kg/m^2
Now, let's calculate the speed in meters per second:
Speed = (6 km/hr) × (1000 m/1 km) × (1 hr/3600 s)
= 1.67 m/s
Next, let's calculate the time:
Time = Distance ÷ Speed
= 15 cm ÷ (1 × 0.01 cm/m)
= 15 m
Now, let's calculate the total horsepower required:
Horsepower = (Force × Distance) ÷ (Time × 735.5)
= (0.42 kg/m^2 × 15 m) ÷ (15 m × 1.67 m/s × 735.5)
≈ 3.89 horsepower
Therefore, approximately 3.89 horsepower is required to pull a 4-bottom 30 cm plow, working to a depth of 15 cm at a speed of 6 km/hr, with a soil resistance of 0.7 kg/cm^2.