A torque of $180 \text{ lb}\cdot\text{ft}$ rotates a shaft through exactly 1 radian. Convert the work done to calories. (Take $1 \text{ lb} \approx 4.44822 \text{ N}$, $1 \text{ ft} \approx 0.3048 \text{ m}$, and $1 \text{ cal} \approx 4.184 \text{ J}$)