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.