4) Suppose the radius of a bicycle wheel is 20 cm. If it rotates at 1 complete rotation per second when you are riding the bicycle,

a. What will the tire’s angular velocity be in rad/s?

2π rad/s

To determine the tire's angular velocity in rad/s, we need to convert the rotational speed from revolutions per second to radians per second.

The formula to convert revolutions per second to radians per second is:

angular velocity (in rad/s) = rotational speed (in revolutions per second) * 2π

Since the wheel is rotating at 1 complete rotation per second, the rotational speed is 1 revolution per second.

Plugging in the values into the formula,

angular velocity (in rad/s) = 1 revolution per second * 2π
angular velocity (in rad/s) = 2π rad/s

Therefore, the tire's angular velocity will be 2π rad/s.