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 = (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 = (5^2)/(19)\\\\a_c = (25)/(19)\\\\a_c = 1.315 \approx 1.32`

Thus centripetal acceleration is 1.32
`ms^(-2)`