Problem

The wheel A, with diameter d = 5 cm, is mounted on the shaft of the motor shown and is rot...

The wheel A, with diameter d = 5 cm, is mounted on the shaft of the motor shown and is rotating with a constant angular speed ωA = 250 rpm. The wheel B, with center at the fixed point O, is connected to A with a belt, which does not slip relative to A or B. The radius of B is R = 12.5 cm. At point C the wheel B is connected to a saw. If point C is at distance ℓ = 10 cm from O, determine the velocity and acceleration of C when θ = 20°. Express your answers using the component system shown.