A lorry with a mass of 201 has a tractive resistance of 280N/t at a speed of 72km/h ,calculate the power required
Hmm, let me put my calculations wig on.
To calculate the power required, we'll use the formula: Power (P) = Force (F) × Velocity (V).
But wait! The tractive resistance is given in N/t (Newtons per ton). We need to convert the mass of the lorry to tons.
Given the mass of the lorry is 201 tons, we can proceed:
Tractive resistance = 280 N/t
Velocity = 72 km/h
Converting km/h to m/s:
72 km/h = (72 × 1000) / (60 × 60) = 20 m/s
Now let's find out the force required:
Force = Tractive resistance × Mass
Force = 280 N/t × 201 t = 56180 N (rounded off)
Finally, let's calculate the power required:
Power (P) = Force (F) × Velocity (V)
Power (P) = 56180 N × 20 m/s
Psst! Be ready for the grand reveal of the answer... It's coming...
Just a moment...
Alright, the power required is:
Power (P) = 1,123,600 watts!
Phew! That was quite a math circus act, wasn't it? If you have any more questions, feel free to ask!
To calculate the power required for the lorry, we can use the formula:
Power = Tractive force * Velocity
First, let's convert the speed from km/h to m/s:
Speed = 72 km/h * (1000 m/1 km) * (1/3600 h/1 s) = 20 m/s
Next, we need to calculate the tractive force. The question states that the tractive resistance is given as 280 N/t. This means that for every ton of mass, the tractive force required is 280 N.
To find the total tractive force, we multiply the tractive resistance by the mass of the lorry:
Tractive force = 280 N/t * 201 t = 56180 N
Now, we can plug the values into the power formula:
Power = Tractive force * Velocity
= 56180 N * 20 m/s
= 1123600 N*m/s or 1123600 W (Watts)
Therefore, the power required for the lorry is approximately 1,123,600 Watts.
To calculate the power required for the lorry, we can use the formula:
Power = Tractive Resistance * Speed
Given:
Mass of the lorry (m) = 201 tonnes = 201,000 kg
Tractive Resistance (R) = 280 N/t
Speed (v) = 72 km/h = 72,000 m/3,600 s = 20 m/s
Now we can calculate the power required:
Power = Tractive Resistance * Speed
= R * m * v
Converting the Tractive Resistance from N/t to N/kg:
R = 280 N/t * (1/1,000 t/kg) = 0.28 N/kg
Substituting the values into the formula:
Power = 0.28 N/kg * 201,000 kg * 20 m/s
= 11,352,000 N · m/s
Therefore, the power required for the lorry is 11,352,000 N · m/s or 11,352,000 Watts.