What magnitude force is the piston applying?
The towers holding small wind turbines are often raised and lowered for easy servicing of the turbine. (Figure 1) shows a 1000 kg wind turbine mounted on the end of a 24-m-long, 500 kg tower that connects to a support column at a pivot. A piston connected 3.0 m from the pivot applies the force needed to raise or lower the tower. At the instant shown, the wind turbine is being raised at a very slow, constant speed.
- NCSLv 72 years agoFavorite Answer
i) the tower is at 10º from horizontal, and
ii) the piston is at 75º from the tower, and
iii) the ratio of piston-to-pivot/turbine-to-pivot is 3.0/24,
then for rotational equilibrium ("slow, constant speed"), we need
ΣM = 0 = F*(3.0/24)*cos10º*sin75º - 1000kg*9.8m/s²*cos10º
F = 81 000 N
to two significant digits.
If your distances or angles differ, plugging in your values should work.
I used the diagram at the link below.
Hope this helps!
- oubaasLv 72 years ago
...pulling our legs??