Question

A cyclist rides in a circle with speed 5 m/s. What is his centripetal
acceleration if the circle has a radius of 19 m?
O A. 1.32 m/s2
OB. 1.82 m/s2
OC. 0.26 m/s2
O D. 0.07 m/s2
SUBMIT

Answer 1

Option A

The centripetal acceleration is 1.32 $ms^{-2}$

Solution:

From given question,

A cyclist rides in a circle with speed 5 m/s

The circle has a radius of 19 m

To find: Centripetal acceleration

The formula for Centripetal acceleration is given as:

$a_c = \frac{v^2}{r}$

Where,

$a_c$ = centripetal acceleration

r is the radius and v is the velocity

From given statement,

radius = r = 19 m

velocity = v = 5 m/s

Substituting the values in above formula, we get

$a_c = \frac{5^2}{19}\\\\a_c = \frac{25}{19}\\\\a_c = 1.315 \approx 1.32$

Thus centripetal acceleration is 1.32 $ms^{-2}$