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

Answer 1

The linear speed of the tire is given by v = ωr, where v is the linear speed, ω is the angular velocity, and r is the radius. Solving for ω, we get ω = v/r = 32.0m/s / 0.420m = 76.2 rad/s. To convert this to rev/min, we use the conversion factor 1 rev = 2π radians and 1 min = 60 s, so ω in rev/min = (76.2 rad/s * 60 s/min) / (2π rad/rev) ≈ 726 rev/min.