Question

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

Answer 1

The answer is 0.70 m.

Answer 2

Answer: B) 0.70 m

Step-by-step explanation:

The centripetal acceleration is given by:

`a=(v^2)/(r)`

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:

`r=(v^2)/(a)=((4.5 m/s)^2)/(29 m/s^2)=0.70 m`