(Solved): The wheel in the simplified engine of the figure below has radius \( A=0.450 \mathrm{~m} \) and ro ...

The wheel in the simplified engine of the figure below has radius \( A=0.450 \mathrm{~m} \) and rotates with angular frequency \( \omega=13.0 \) rad/s. At \( t=0 \), the piston is located at \( x=A \). Calculate the piston's position, velocity, and acceleration at \( t=1.00 \mathrm{~s} \). (Indicate the direction with the signs of your answers.) (a) position (in m) is \( \mathrm{m} \) (b) velocity (in \( \mathrm{m} / \mathrm{s} \) ) \& \( \mathrm{m} / \mathrm{s} \) (c) acceleration (in \( \mathrm{m} / \mathrm{s}^{2} \) ) \( \times \mathrm{m} / \mathrm{s}^{2} \)