A turnbuckle is needed to apply an 8kN force on a cable. If the efficiency of the turnbuckle is 40% and the force applied is 159.155N with a lever of 20cm in length.

a) Find the mechanical advantage.
b) Find the velocity ratio.
c) Find the mean pitch of thread.

To find the answers to these questions, we need to understand the concepts of mechanical advantage, velocity ratio, and pitch of thread. Let's break it down:

a) Mechanical Advantage:
The mechanical advantage is the ratio of the output force to the input force. In this case, the output force is 8kN (8000 N) and the input force is 159.155N. Therefore, the mechanical advantage (MA) can be calculated as:

MA = Output force / Input force
MA = 8000 N / 159.155 N

To get a numerical answer, divide 8000 by 159.155.

b) Velocity Ratio:
The velocity ratio is the ratio of the distance moved by the input force to the distance moved by the output force. In this case, we have a lever of 20cm in length. The distance moved by the input force is equal to the length of the lever, and the distance moved by the output force is equal to the pitch of the thread.

To find the velocity ratio, we need the pitch of the thread. The given information does not mention the pitch, so we cannot calculate the velocity ratio without this information.

c) Mean Pitch of Thread:
The mean pitch of thread refers to the distance between adjacent threads on the turnbuckle. It represents the distance the threaded portion advances per one complete rotation. Unfortunately, the given information does not provide the mean pitch of the thread.

In summary, we can find the mechanical advantage by dividing the output force by the input force. However, without the information on the pitch of the thread, we cannot determine the velocity ratio or the mean pitch of the thread.