In the composite filament winding process as shown in the figure, the mandrel diameter is 700 mm and is rotating at a speed, \( N = 6 \) rev/min.
If a \( 45^\circ \) helical winding angle is needed, the axial velocity, \( v_c \), of the slider should be ______ m/s (rounded off to two decimal places).
Assume \( \pi = 22/7 \). Ignore the thickness of the composite layers already wound on the mandrel.
Note: Figure is not to scale.