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 (for which no friction is needed to stay on the run) for the smaller radius curve is v. What is the safe speed on the larger radius curve?

Respuesta :

Answer:

[tex]V=\sqrt{2}\times r[/tex]

Explanation:

Radius 1 = r

Radius 2 = 2r

velocity on smaller curve = v

Let the velocity on larger curve is V

According to the concept of banking

the square of the velocity of the vehicle is proportional to the radius of the curve.

v² ∝ r     .... (1)

V² ∝ 2r   .... (2)

Divide equation () by equation (1), we get

[tex]\frac{V^{2}}{v^{2}}=2[/tex]

[tex]V=\sqrt{2}\times r[/tex]