A truck with a mass of 20t has tractive resistance of 280 N/t if it travels speed of 72 km/h .calculate
The distance travelled in 36s
2 . The power required for that speed
If the speed is constant
v = 72000 meters / 3600 seconds = 20 meters/second
multiply by 36 seconds to get distance
power = force * speed = 280 Newtons/ton * 20 tons * 20 meters/second
that is joules /second which is Watts
To calculate the distance traveled, we can first convert the speed from km/h to m/s:
72 km/h = 72,000 m/3600 s = 20 m/s
Now we can use the formula:
distance = speed x time
distance = 20 m/s x 36 s
distance = 720 meters
So, the distance traveled in 36 seconds is 720 meters.
To calculate the power required, we need to use the formula:
power = tractive resistance x speed
First, let's convert the tractive resistance from N/t to N/s (Newtons per second):
280 N/t = 280 N/s
Now we can calculate the power:
power = 280 N/s x 20 m/s
power = 5600 watts
So, the power required for a speed of 72 km/h is 5600 watts.
To calculate the distance traveled in 36 seconds, we need to know the initial velocity of the truck. Since only the speed is given in km/h, we need to convert it to m/s.
1. Convert the speed from km/h to m/s:
Given speed = 72 km/h
1 km = 1000 m (conversion factor)
1 hour = 3600 seconds (conversion factor)
Therefore, speed in m/s = (72 km/h) * (1000 m/1 km) * (1/3600 hour/second)
Now, calculate the distance traveled in 36 seconds using the formula:
Distance = initial velocity * time + (1/2) * acceleration * time^2
We need to find the initial velocity. Since the truck is running at a constant speed, the initial velocity is equal to the final velocity. In this case, the speed is constant, so the initial and final velocities are equal.
2. The power required for that speed can be calculated using the formula:
Power = Tractive resistance * Speed
Given tractive resistance = 280 N/t (N stands for Newton, t stands for ton)
Given speed = 72 km/h (as calculated in the previous question, we will convert it to m/s)
Now, convert the mass of the truck from tons to kilograms:
Given mass = 20 tons
1 ton = 1000 kg (conversion factor)
Now, calculate the power using the formula:
Power = (Tractive resistance * mass) * speed
Plug in the values and solve for power.