1. Convert Linear Velocity to Angular Velocity

* Relationship: The linear velocity (v) of a point on the edge of a rotating object is related to the angular velocity (ω) by the equation: v = ωr, where r is the radius.

* Solve for ω: ω = v/r

* Substitute values: ω = (32.0 m/s) / (0.420 m) = 76.19 rad/s

2. Convert Angular Velocity from rad/s to rev/min

* Conversion Factors:

* 1 revolution (rev) = 2π radians (rad)

* 1 minute (min) = 60 seconds (s)

* Apply the conversion factors:

ω = 76.19 rad/s * (1 rev / 2π rad) * (60 s / 1 min) ≈ 727.3 rev/min

Therefore, the angular velocity of the truck's tires is approximately 76.19 radians per second or 727.3 revolutions per minute.