Physics problem

Question

A child pedals a tricycle, giving the driging wheel an angular speed of 0.375 rev/s. if the radius of the wheel is 0.275 m, what is the child's linear speed?

Answer 1

For this problem, we're going to be using the equation v=rω.  However, when calculating the linear speed v, we want to have ω (angular velocity) in radians/sec.  To do so, we multiply .375 rev/s by 2π to get 2.356 rad/s.  Then we multiply this omega (ω) by the radius of .275 m to get a linear speed of .648 m/s.