Question

A cyclist going around a circular track at 10.0 m/s has a centripetal acceleration of 5.00 m/s2. What is the radius of the curve?

Answer 1

Answer:

The radius of the curve is 20 m.

Step-by-step explanation:

The centripetal acceleration of cyclist is given ( a )  = 5.00 m/s² .

The velocity of cyclist is given ( v )  = 10.0 m/s

We have to calculate the radius of cycle ( r ) = ?

We know that centripetal acceleration is given by

 $a = \frac{v^{2} }{r}$

By substituting the value in above formula,

$5.00 = \frac{10^{2} }{r}$

r = $\frac{100}{5}$ = 20 m

The radius of the curve is 20 m.