contestada

A cyclist rides at a constant speed of 4.5 m/s around a curve. If the centripetal acceleration is 29 m/s2, what is the radius of the curve?
A) 0.16 m
B) 0.70 m
C) 6.4 m
D) 34 m

Respuesta :

The answer is 0.70 m.
skyluke89

Answer: B) 0.70 m

Explanation:

The centripetal acceleration is given by:

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

where

v is the speed (tangential speed)

r is the radius of the curve

In this case, we know the speed, v=4.5 m/s, and the centripetal acceleration, a=29 m/s^2, so we  can re-arrange the equation above to find the radius of the curve:

[tex]r=\frac{v^2}{a}=\frac{(4.5 m/s)^2}{29 m/s^2}=0.70 m[/tex]