Water flows through a $90^{\circ}$ bend in a horizontal plane as depicted in the figure.
A pressure of $140$ kPa is measured at Section $1-1$. The inlet diameter marked at Section $1-1$ is $\frac{27}{\sqrt{\pi}}$ cm, while the nozzle diameter marked at Section $2-2$ is $\frac{14}{\sqrt{\pi}}$ cm. Assume the following:
- Acceleration due to gravity $=10 m/s^2$
- Weights of both the bent pipe segment as well as water are negligible.
- Friction across the bend is negligible.
The magnitude of the force (in kN, up to two decimal places) that would be required to hold the pipe section is __________