A rolling wheel has velocity of its center of mass as 5 ms. If its radius is 1.5 m and angular velocity is 3 "rad s"^(-1) , then check whether it is in pure rolling or not.

A rolling wheel has velocity of its center of mass as 5 ms. If its rad

1.	A rolling wheel has velocity of its center of mass as 5 ms. If its radius is 1.5 m and angular velocity is 3 "rad s"^(-1) , then check whether it is in pure rolling or not.
Answer» Solution :Tanslational velocity `(V_("TRANS"))` or velocity of CENTER of MASS, `V_(CM)= 5 ms^(-1)` The radius is, R-1.5 m and the angular velocity is, `omega=3"ra s"^(-)`. Rotational velocity, `v_("NOT")= R omega` `V_("NOT"=1.5xx3` `V_("NOT")=4.5 ms^(-1)` As `V_(CM) gt R omega (or)v_("TRANS") gt R omega`, It is not pure rolling. but silding.