How Efficient is the Screw Jack with a Pitch of 0.5cm and Mechanical Advantage of 250?
What is the efficiency of the screw jack?
The pitch of a screw jack is 0.5cm. The arm is 50cm long and its mechanical advantage is 250. What is its efficiency?
a) 750%
b) 500%
c) 250%
Efficiency Calculation
The efficiency of the screw jack can be calculated based on its theoretical mechanical advantage (TMA) and actual mechanical advantage (AMA).
In this case, the TMA is calculated using the formula: TMA = (2 × π × R) / P
The radius of the screw (R) can be found using the formula: R = L / (2 × π), where L is the length of the arm.
Substituting the given values, we find the TMA to be 50.
The AMA is given as 250.
Therefore, the efficiency can be calculated as: Efficiency = (AMA / TMA) × 100.
Efficiency Calculation for the Screw Jack
The screw jack with a pitch of 0.5cm and a mechanical advantage of 250 has an efficiency of 500%.
To calculate the efficiency, we first determine the theoretical mechanical advantage (TMA) and actual mechanical advantage (AMA).
The TMA is found to be 50 based on the radius of the screw and the pitch value.
Given that the AMA is 250, we can then calculate the efficiency by dividing AMA by TMA and multiplying the result by 100.
Therefore, the efficiency of the screw jack is 500%, which is equivalent to 5 times the theoretical mechanical advantage.