Determine the 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 power required to pull the plough, we can use the formula:
Power = Force * Velocity
First, let's calculate the force required to pull the plough.
The force can be determined using the formula:
Force = Pressure * Area
Given:
Soil resistance = 0.7 kg/cm^2
Plough working depth = 15 cm
Area = width * depth = 30 cm * 15 cm = 450 cm^2
Force = 0.7 kg/cm^2 * 450 cm^2 = 315 kg
Next, let's convert the tractor speed from km/hr to cm/s.
1 km = 100,000 cm
1 hour = 3600 seconds
Tractor speed = 6 km/hr = (6 * 100,000 cm) / (3600 s) ≈ 166.67 cm/s
Now, let's calculate the power required.
Power = Force * Velocity
= 315 kg * 166.67 cm/s
≈ 52,501.05 kg⋅cm^2/s
Therefore, the power required to pull the 4-bottom 30 cm plough, working to a depth of 15 cm, at a tractor speed of 6 km/hr, with a soil resistance of 0.7 kg/cm^2, is approximately 52,501.05 kg⋅cm^2/s.