# The centripetal acceleration of a material point moving in a circle with a speed of v1 = 0.6 m / s is equal to ac1 = 0.9 m / s.

October 3, 2021 | education

| **The centripetal acceleration of a material point moving in a circle with a speed of v1 = 0.6 m / s is equal to ac1 = 0.9 m / s. what is the centripetal acceleration of a point when moving along the same circle with a speed v2 = 0.8 m / s**

V1 = 0.6 m / s – speed of the first material point

ac1 = 0.9 m / s ^ 2

V2 = 0.8 m / s ^ 2 – speed of the second material point

the circle does not change, therefore R1 = R2 – the radii are the same

ac2 -?

ac1 = V1 ^ 2 / R1, hence the radius R1 = V ^ 2 / ac1

R1 = 0.6 ^ 2 / 0.9 = 0.4 m

R1 = R2 = 0.4 m

ac2 = V2 ^ 2 / R2

ac2 = 0.8 ^ 2 / 0.4 = 1.6 m / s ^ 2