Given data
*The wheel rotates with an angular speed is
![\omega=19\text{ rad/s}](https://img.qammunity.org/2023/formulas/physics/college/mlryhjx471r8n4a2c888xbl523tf7ksc8o.png)
The formula for the time taken by the wheel to complete one revolution is given as
![\begin{gathered} \omega=(2\pi)/(T) \\ T=(2\pi)/(\omega) \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/b9oemu7aljc5hq9mmeagz4sw7zv7e4i9ga.png)
Substitute the known values in the above expression as
![\begin{gathered} T=(2*3.14)/(19) \\ =0.33\text{ s} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/q7v23wi1dxgmzr0o2s17ukphtppxzsmk4g.png)
Hence, the time taken by the wheel to complete one revolution is T = 0.33 s