Question

Two cars are going around two concentric circular paths at the same angular speed. Does the inner or the outer car have the larger linear speed?

Answer 1

cars are performing circular motion so

v= rw

v linear speed

w angular velocity

r radius

w1=w2

w=v/r

v1/r1=v2/r2

r1 radius of inner circle

r2 radius of outer circle

as r2>r1

so v2>v1

so the linear speed of outer circle is greater