Spacing between Vehicles given Total Time of Travel in Overtaking Sight distance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Minimum Spacing between Vehicles during Overtaking = ((Time taken for Overtaking Operation^2)*Acceleration)/4
s = ((T^2)*a)/4
This formula uses 3 Variables
Variables Used
Minimum Spacing between Vehicles during Overtaking - (Measured in Meter) - Minimum Spacing between Vehicles during Overtaking is the minimum distance between the two vehicles required at the time of overtaking.
Time taken for Overtaking Operation - (Measured in Second) - Time taken for Overtaking Operation is the time taken by fast moving vehicle to overtake the slow moving vehicle.
Acceleration - (Measured in Meter per Square Second) - Acceleration is the rate of change in velocity to the change in time.
STEP 1: Convert Input(s) to Base Unit
Time taken for Overtaking Operation: 7.8 Second --> 7.8 Second No Conversion Required
Acceleration: 0.9 Meter per Square Second --> 0.9 Meter per Square Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = ((T^2)*a)/4 --> ((7.8^2)*0.9)/4
Evaluating ... ...
s = 13.689
STEP 3: Convert Result to Output's Unit
13.689 Meter --> No Conversion Required
FINAL ANSWER
13.689 Meter <-- Minimum Spacing between Vehicles during Overtaking
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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10+ OSD Calculators

Reaction Time of Driver using OSD
Go Reaction Time of Driver = (Overtaking Sight Distance on road-Speed of Slow moving vehicle*Time taken for Overtaking Operation-1.4*Speed of Slow moving vehicle-2*Length of Wheel Base as per IRC-Speed of Fast moving Vehicle*Time taken for Overtaking Operation)/Speed of Slow moving vehicle
Overtaking Sight Distance
Go Overtaking Sight Distance on road = Speed of Slow moving vehicle*Reaction Time of Driver+Speed of Slow moving vehicle*Time taken for Overtaking Operation+2*(0.7*Speed of Slow moving vehicle+Length of Wheel Base as per IRC)+Speed of Fast moving Vehicle*Time taken for Overtaking Operation
Speed of Slow Vehicle using OSD
Go Speed of Slow moving vehicle = (Overtaking Sight Distance on road-Speed of Fast moving Vehicle*Time taken for Overtaking Operation-2*Length of Wheel Base as per IRC)/(Reaction Time of Driver+Time taken for Overtaking Operation+1.4)
Total Time of Travel in Overtaking Sight distance
Go Time taken for Overtaking Operation = sqrt(4*Minimum Spacing between Vehicles during Overtaking/Acceleration)
Spacing between Vehicles given Total Time of Travel in Overtaking Sight distance
Go Minimum Spacing between Vehicles during Overtaking = ((Time taken for Overtaking Operation^2)*Acceleration)/4
Acceleration of Vehicle given Total Time of Travel in Overtaking Sight distance
Go Acceleration = (4*Minimum Spacing between Vehicles during Overtaking)/(Time taken for Overtaking Operation^2)
Minimum Spacing between Vehicles during Overtaking
Go Minimum Spacing between Vehicles during Overtaking = (0.7*Speed of Slow moving vehicle+6)
Velocity of Overtaking Vehicle for Forward Moving Vehicle Velocity in meter per second
Go Speed of Fast moving Vehicle = Speed of Slow moving vehicle+4.5
Overtaking Sight Distance given Minimum Overtaking Distance
Go Overtaking Sight Distance on road = Minimum Length of OSD/3
Minimum Overtaking Distance
Go Minimum Length of OSD = 3*Overtaking Sight Distance on road

Spacing between Vehicles given Total Time of Travel in Overtaking Sight distance Formula

Minimum Spacing between Vehicles during Overtaking = ((Time taken for Overtaking Operation^2)*Acceleration)/4
s = ((T^2)*a)/4

What is overtaking sight distance?

The overtaking sight distance is the minimum distance open to the vision of the driver of a vehicle intending to. overtake the slow vehicle ahead safely against the traffic in the opposite direction.

How to Calculate Spacing between Vehicles given Total Time of Travel in Overtaking Sight distance?

Spacing between Vehicles given Total Time of Travel in Overtaking Sight distance calculator uses Minimum Spacing between Vehicles during Overtaking = ((Time taken for Overtaking Operation^2)*Acceleration)/4 to calculate the Minimum Spacing between Vehicles during Overtaking, Spacing between Vehicles given Total Time of Travel in Overtaking Sight distance formula is defined as minimum spacing before and after overtaking. Minimum Spacing between Vehicles during Overtaking is denoted by s symbol.

How to calculate Spacing between Vehicles given Total Time of Travel in Overtaking Sight distance using this online calculator? To use this online calculator for Spacing between Vehicles given Total Time of Travel in Overtaking Sight distance, enter Time taken for Overtaking Operation (T) & Acceleration (a) and hit the calculate button. Here is how the Spacing between Vehicles given Total Time of Travel in Overtaking Sight distance calculation can be explained with given input values -> 13.689 = ((7.8^2)*0.9)/4.

FAQ

What is Spacing between Vehicles given Total Time of Travel in Overtaking Sight distance?
Spacing between Vehicles given Total Time of Travel in Overtaking Sight distance formula is defined as minimum spacing before and after overtaking and is represented as s = ((T^2)*a)/4 or Minimum Spacing between Vehicles during Overtaking = ((Time taken for Overtaking Operation^2)*Acceleration)/4. Time taken for Overtaking Operation is the time taken by fast moving vehicle to overtake the slow moving vehicle & Acceleration is the rate of change in velocity to the change in time.
How to calculate Spacing between Vehicles given Total Time of Travel in Overtaking Sight distance?
Spacing between Vehicles given Total Time of Travel in Overtaking Sight distance formula is defined as minimum spacing before and after overtaking is calculated using Minimum Spacing between Vehicles during Overtaking = ((Time taken for Overtaking Operation^2)*Acceleration)/4. To calculate Spacing between Vehicles given Total Time of Travel in Overtaking Sight distance, you need Time taken for Overtaking Operation (T) & Acceleration (a). With our tool, you need to enter the respective value for Time taken for Overtaking Operation & Acceleration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Minimum Spacing between Vehicles during Overtaking?
In this formula, Minimum Spacing between Vehicles during Overtaking uses Time taken for Overtaking Operation & Acceleration. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Minimum Spacing between Vehicles during Overtaking = (0.7*Speed of Slow moving vehicle+6)
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