## Centrifugal acceleration depending on rotational speed and design

Often torque flanges are not used at their nominal (rated) rotational speed. The example of the T10FS torque flange is to illustrate the **effects of different rotational speeds and designs**.

*Fig. 1: Centrifugal acceleration depending on rotational speed and design*

Using double logarithmic graphs, the resulting** array of curves** [4] facilitates identification of the **centrifugal acceleration** for **selected radii**.

For example, a **rotational speed of 10,000 rpm** and a radius of 250 mm results in a centrifugal acceleration of 273,878 m/s^{2} ≈ 27,918 g, approx. 30,000 g.

*Fig. 2: Array parameter radius r of the circular path*

**Acceleration** is uncritical as long as it does not affect a** mass**. Since in reality this is not the case, **centrifugal force** is of paramount importance. Therefore, with structures rotating at **angular velocity/rotational speed** it is essential to take into account the** resulting forces** instead of the accelerations.

The well-known relationship '**Force equals Mass times Acceleration**'

applies analogously for rotating bodies

The centrifugal force Fz is given by

(equation with numerical values Fz in N, m in kg, r in m and n in rpm)

Considering the **1 euro coin** with a weight of 7.5•10^{-3} kg and the maximum rotational speed of the **T10FS/100 N•m torque flange**, n = 24,000 rpm , r = 59.5 mm, provides an impressive example for this effect.

In the Earth's gravity field, this would correspond to ≈ 287 kg - about 6 cement bags each with 50 kg. Such a coin would be **too heavy** to be carried in a purse.