31. Fundamental relations of traffic flow

Try these first

1. 1.

   Define Time Mean Speed.

   Hint

   What does it measure?

2. 2.

   What is the primary difference between TMS and SMS?

   Hint

   Think about what factors each metric emphasizes.

3. 3.

   What is the formula for Time Mean Speed?

   • (Σv_i)/n
   • (n/Σv_i)
   • n/(Σv_i)

   Hint

   What is being summed in Time Mean Speed?

4. 4.

   True or False: Space Mean Speed can be higher than Time Mean Speed.

   • True
   • False

   Hint

   Think about how the definitions relate to slower speeds.

5. 5.

   In a traffic study, the following speeds were recorded: 20, 30, 20, 40, 60, 15. Calculate TMS and SMS. What does this tell about traffic behavior?

   Hint

   Start with calculating TMS first, then apply the harmonic mean for SMS.

6. 6.

   A traffic analysis shows a flow of 200 vehicles over an hour. If the road density is 50 vehicles/km, what is the average space mean speed?

   Hint

   Remember the fundamental relationship that ties these concepts together.