Does my work make sense?
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.
Mechanical Advantage=Load/Effort
M.A.=8000N/159.155N
M.A.=50.265 (Ans.)
b) Find the velocity ratio.
Efficiency(ç)=(Mechanical Advantage)/(Velocity Ratio)
V.R.=(M.A.)/ç
V.R.=50.265/0.40
Velocity Ratio=125.66 (Ans.)
c) Find the mean pitch of thread.
V.R.=(Distance moved by effort)/(Distance moved by load)
V.R.=2ðL/(2Xpitch of thread)
2Xpitch of thread=2ðX200mm/126.66
2Xpitch of thread=1256.637/126.66
Pitch of thread=9.921/2
Pitch of thread=4.96mm (Ans.)
To determine if your work makes sense, we can go through each calculation step and check if the answers align with the given information and formulas.
a) Finding the mechanical advantage:
The formula for mechanical advantage is Load/Effort. In this case, the Load is given as 8kN (8000N), and the Effort is given as 159.155N.
By dividing the Load by the Effort, you correctly calculated a mechanical advantage of 50.265.
b) Finding the velocity ratio:
The formula for velocity ratio is Mechanical Advantage/Efficiency.
With the mechanical advantage of 50.265 and efficiency of 40%, you divided the mechanical advantage by the efficiency and correctly obtained a velocity ratio of 125.66.
c) Finding the mean pitch of thread:
The formula for velocity ratio is Distance moved by Effort/Distance moved by Load.
Using this formula, you correctly set up the equation as VR = 2πL/(2 × pitch of thread).
To find the pitch of the thread, you rearranged the equation and substituted the given values.
After simplifying the calculation, you obtained the pitch of the thread as 4.96mm.
Based on these calculations, it appears that your work makes sense and aligns with the given information and formulas.
a) To find the mechanical advantage, divide the load (8kN) by the effort (159.155N):
Mechanical Advantage = Load / Effort
M.A. = 8000N / 159.155N
M.A. ≈ 50.265 (approximately 50.265)
b) The efficiency (ç) is given as 40%. To find the velocity ratio, divide the mechanical advantage by the efficiency:
Velocity Ratio = M.A. / ç
V.R. = 50.265 / 0.40
V.R. ≈ 125.66 (approximately 125.66)
c) To find the mean pitch of the thread, use the velocity ratio formula:
V.R. = (Distance moved by effort) / (Distance moved by load)
V.R. = 2πL / (2 × pitch of thread)
Solve for the pitch of the thread:
2 × pitch of thread = (2π × 200mm) / 125.66
2 × pitch of thread = 1256.637mm / 125.66
pitch of thread = 9.921mm / 2
pitch of thread ≈ 4.96mm (approximately 4.96mm)
Therefore, the mean pitch of the thread is approximately 4.96mm.