Originally Posted By: MolaKule
Now that we have all the math completed, one can use a Us of 0.9 and calculate the real world safe MAXIMUM speed in m/s or mph.
Multiply m/s by 2.24 to get the mph.
Since the actual Us = 0.93 as tested, we will use 0.9 for an extra margin of safety.
g = 9.8 m/s,
r = 316 m
theta = 31 degrees.
Using Us = v^2.cos(theta)/g.r from above.
Us.g.r = v^2.cos(theta),
Us.g.r/cos(theta) = v^2
v = sqrt(Us.g.r/cos(theta))
v = sqrt(0.9.9.8.316/cos(31))
v = sqrt(2787/cos(31)) = sqrt(2787/0.857) = 57 m/s
v = 127.7 mph.
Now that we have all the math completed, one can use a Us of 0.9 and calculate the real world safe MAXIMUM speed in m/s or mph.
Multiply m/s by 2.24 to get the mph.
Since the actual Us = 0.93 as tested, we will use 0.9 for an extra margin of safety.
g = 9.8 m/s,
r = 316 m
theta = 31 degrees.
Using Us = v^2.cos(theta)/g.r from above.
Us.g.r = v^2.cos(theta),
Us.g.r/cos(theta) = v^2
v = sqrt(Us.g.r/cos(theta))
v = sqrt(0.9.9.8.316/cos(31))
v = sqrt(2787/cos(31)) = sqrt(2787/0.857) = 57 m/s
v = 127.7 mph.