A curve of radius 195 m is banked at an angle of 19°. At what speed can it be negotiated under icy conditions?
A curve of radius 195 m is banked at an angle of 19°. At what speed can it be negotiated under icy conditions where friction is negligible?
m/s
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Icy conditions mean no friction so the friction u = 0 and can be ignored, gravity constant g is 9.8 m/s^2 the radius of the curve is 195 m (r) and the curve is banked at an angle a = 19
use the formula : Tan(a)=v^2/rg the given is : r, g , and a, so after the manipulation of the formula you should obtain : v = sqrt (tan(a)rg) so now you just plug in what you know :
v = sqrt (tan(19)(195)(9.8))
if you do everything right you should get : v = 25.65 m/s