Calculate the mechanical advantage of a lever in which the effort
arm is 60 cm and load arm is 1.2m and also write the kind of liver.
Answers
Working out:
The mechanical advantage is the ratio of load to effort. And we know that Load × Load arm = Effort × Effort arm. So, the ratio of load to effort is inversely proportional to the ratio of Load and effort arm. So, Mechanical advantage can also be calculated when load and effort arm are given.
GiveN:
- Effort arm = 60 cm = 0.6 m
- Load arm = 1.2 m
Finding Mechanical advantage,
⇛ M.A. = Effort arm / Load arm
⇛ M.A. = 0.6 m / 1.2 m
⇛ M.A. = 1/2
Note: As mechanical advantage is the ratio between two quantities, it doesn't have any unit.
We know,
There are three types of lever and let's see the relation of mechanical advantage and the type of levers:
- Class 1: Depends on load and effort arm.
- Class 2: M.A. is always greater than 1 because the effort arm is always greater than load arm.
- Class 3: M.A. is always less than 1 because the effort arm is always less than load arm.
In this question, The M.A. is less than 1 i.e. 1/2 < 1, So the given lever belongs to Class III levers (Effort arm < Load arm).
Hence, we are done !!
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Given:
Effort arm = 60 cm = 0.6 m
Load arm = 1.2 m
Finding Mechanical advantage,
- ⇛ M.A. = Effort arm / Load arm
- ⇛ M.A. = 0.6 m / 1.2 m
- ⇛ M.A. = 1/2
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