The maximum speed a driver travel on the Daytona Speedway (bank angle )without using friction between his tires and the road to make the turn is 45 m/s.What is the radius of the turn?
A)301 m
B)401 m
C)344 m
D)241 m

Question

The maximum speed a driver travel on the Daytona Speedway (bank angle  )without using friction between his tires and the road to make the turn is 45 m/s.What is the radius of the turn?
A)301 m 
B)401 m 
C)344 m 
D)241 m

Quizplus · Accepted Answer

The equation we will use is:

v^2/r = g*tan(θ)

where:
v = maximum speed = 45 m/s
r = radius of the turn  (what we are trying to find)
g = acceleration due to gravity = 9.81 m/s^2
θ = bank angle = 31.4 degrees = 0.547 radians (converted using online converter)

Plugging in the values:

45^2/r = 9.81*tan(0.547)
r = (45^2)/(9.81*tan(0.547))
r ≈ 344 m

Therefore, the answer is C.

The Maximum Speed a Driver Travel on the Daytona Speedway