A truck with 0.420-m-radius tires travels at 32.0 m/s. What is the angular velocity of the rotating tires in radians per second? What is this in rev/min?

Question

jango_in_dtown · Answer

$$v=r \omega$$
where v is velocity and r is radius and w is angular velocity

jango_in_dtown · Answer

here v=32m/s r=0.420m so w=v/r=32/0.42=76.2 rad/sec (approx.)
now 1rev=2pi rad 
hence in rev/sec we have 76.2rad/s *(1rev/2pi rad)*(60s/1min)=728rev/s

anonymous · Answer

I got it.
Thanks for your help, jango_IN_DTOWN

jango_in_dtown · Answer

no problem...:)