SOLUTION: The tangent of the proper banking angle θ of the road for a car
making a turn is directly proportional to the square of the car’s
velocity v and inversely proportional to the
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making a turn is directly proportional to the square of the car’s
velocity v and inversely proportional to the
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Question 1197651: The tangent of the proper banking angle θ of the road for a car
making a turn is directly proportional to the square of the car’s
velocity v and inversely proportional to the radius r of the turn.
7.75° is the proper banking angle for a car travelling at 20.0 m/s
around a turn of radius 300m.What is the proper banking angle
for a car travelling at 30.0 m/s around a turn of radius 250 m?
Thank you Answer by Edwin McCravy(20056) (Show Source):
You can put this solution on YOUR website! The tangent of the proper banking angle θ of the road for a car
making a turn is directly proportional to the square of the car’s
velocity v and inversely proportional to the radius r of the turn.
7.75° is the proper banking angle for a car travelling at 20.0 m/s
around a turn of radius 300m.What is the proper banking angle
for a car travelling at 30.0 m/s around a turn of radius 250 m?
Write the "k-equation":
=
Substitute the information from the situation when ALL the quantities
are given (except k):
Solve for k:
Multiply both sides by 300
Make sure your calculator is in degree mode and not radian mode:
Divide both sides by 400
Substitute the value of k in the first equation:
Substitute the information from the other situation when all
the variables BUT ONE are given:
Calculate the right side:
Solve for the missing variable, which in this case is "θ":
Use the inverse tangent function on your calculator
Since the given angle was rounded to hundredths, round your final
answer the same way:
Edwin
