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pogonyaev
3 years ago
14

Two horizontal curves on a bobsled run are banked at the same angle, but one has twice the radius of the other. The safe speed (

no friction needed to stay on the run) for the smaller radius curve is v. What is the safe speed on the larger radius curve?
Physics
1 answer:
iren [92.7K]3 years ago
4 0

Answer:

safe speed for the larger radius track u= √2 v

Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

r_2= larger radius curve

r_2= 2r_1..............i

let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}................ii

form i and ii we can write

v^2= \frac{1}{2} u^2

⇒u= √2 v

therefore, safe speed for the larger radius track u= √2 v

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