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A vehicle was stopped by fully jamming the breaks in 1.8 s and the skid marks measured 9 m. Determine the average skid resistance. Take g =10 m/s 2?
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A vehicle was stopped by fully jamming the breaks in 1.8 s and the ski...
Calculating Average Skid Resistance
Time taken to stop the vehicle (t) = 1.8 s
Length of skid marks (s) = 9 m
Acceleration due to gravity (g) = 10 m/s^2
The average skid resistance (R) can be calculated using the equation:
R = (m * g) / (t^2)
Where:
m = mass of the vehicle
To solve the equation and find the average skid resistance, we need to determine the mass of the vehicle first.
The deceleration (a) of the vehicle can be calculated using the formula:
a = (2 * s) / (t^2)
Substituting the given values:
a = (2 * 9) / (1.8^2) = 2 m/s^2
Now, we can calculate the mass of the vehicle (m) using the equation:
m = a * (t^2) / g
Substituting the known values:
m = 2 * (1.8^2) / 10 = 0.648 kg
Finally, we can substitute the calculated mass into the formula for average skid resistance:
R = (0.648 * 10) / (1.8^2) = 2.222 N
Therefore, the average skid resistance of the vehicle is 2.222 N.
Given Data
Time taken to stop the vehicle (t) = 1.8 s
Length of skid marks (s) = 9 m
Acceleration due to gravity (g) = 10 m/s^2
Formula
The average skid resistance (R) can be calculated using the equation:
R = (m * g) / (t^2)
Where:
m = mass of the vehicle
Solving the Equation
To solve the equation and find the average skid resistance, we need to determine the mass of the vehicle first.
Step 1: Calculating the Deceleration
The deceleration (a) of the vehicle can be calculated using the formula:
a = (2 * s) / (t^2)
Substituting the given values:
a = (2 * 9) / (1.8^2) = 2 m/s^2
Step 2: Calculating the Mass of the Vehicle
Now, we can calculate the mass of the vehicle (m) using the equation:
m = a * (t^2) / g
Substituting the known values:
m = 2 * (1.8^2) / 10 = 0.648 kg
Step 3: Calculating the Average Skid Resistance
Finally, we can substitute the calculated mass into the formula for average skid resistance:
R = (0.648 * 10) / (1.8^2) = 2.222 N
Therefore, the average skid resistance of the vehicle is 2.222 N.
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A vehicle was stopped by fully jamming the breaks in 1.8 s and the skid marks measured 9 m. Determine the average skid resistance. Take g =10 m/s 2?
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A vehicle was stopped by fully jamming the breaks in 1.8 s and the skid marks measured 9 m. Determine the average skid resistance. Take g =10 m/s 2? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A vehicle was stopped by fully jamming the breaks in 1.8 s and the skid marks measured 9 m. Determine the average skid resistance. Take g =10 m/s 2? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vehicle was stopped by fully jamming the breaks in 1.8 s and the skid marks measured 9 m. Determine the average skid resistance. Take g =10 m/s 2?.
A vehicle was stopped by fully jamming the breaks in 1.8 s and the skid marks measured 9 m. Determine the average skid resistance. Take g =10 m/s 2? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A vehicle was stopped by fully jamming the breaks in 1.8 s and the skid marks measured 9 m. Determine the average skid resistance. Take g =10 m/s 2? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vehicle was stopped by fully jamming the breaks in 1.8 s and the skid marks measured 9 m. Determine the average skid resistance. Take g =10 m/s 2?.
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