An automobile tire has a radius of 0.380 m, and its center moves forward with a linear speed of v = 19.0 m/s.
(a) Determine the angular speed of the wheel. (Assume that there is no slipping of the surfaces in contact during the rolling motion.)
rad/s
Relative to the center, the bottom of the wheel has v=19m/s, right?
angular speed= tangential speed/radius
To find the angular speed of the wheel, we can use the formula:
angular speed (ω) = linear speed (v) / radius (r)
Given:
Radius (r) = 0.380 m
Linear speed (v) = 19.0 m/s
Substituting the values into the formula, we get:
ω = 19.0 m/s / 0.380 m
ω = 50 rad/s
Therefore, the angular speed of the wheel is 50 rad/s.