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.

Answer 1

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.