Question

Calculate the mechanical advantage of a lever in which the effort arm is 40cm and load arm is 4 cm​

Answer 1

Given:

effort arm =60 cm

load arm= 4 cm

=effort arm / load arm

= 60/4

= 15

15

Answer 2

Answer :

• The mechanical advantage (M.A.) of a lever with effort arm (E) of 40 cm and load arm (L) of 4 cm is 10.

Explanation :

Given :

• Effort arm of the lever = 40 cm
• Load arm of the lever = 4 cm

To find :

• The mechanical advantage of the lever, M.A. = ?

Knowledge required :

By definition, The ratio of load to effort is the mechanical advantage (M.A.) of the machine.i.e,

⠀⠀⠀⠀⠀⠀⠀⠀⠀M.A. = L/E

Where :

• M.A. = Mechanical advantage
• L = Load
• E = Effort

But according to the question, we have to find the mechanical advantage in case of a lever.

Relationship between Load/Effort and Load arm/Effort arm i.e,

⠀⠀⠀⠀⠀⠀⠀⠀⠀Load × Load arm = Effort × Effort arm

By solving the above equation, we get :

⠀=> Load × Load arm = Effort × Effort arm

⠀=> Load = (Effort × Effort arm)/Load arm

⠀=> Load/Effort = Effort arm/Load arm

∴ Load/Effort = Effort arm/Load arm

But Load/Effort is the equation for mechanical advantage, hence we get that,

⠀=> M.A. = Load/Effort = Effort arm/Load arm

Thus the equation for mechanical advantage (M.A.) in case of a lever is :

⠀⠀⠀⠀⠀⠀⠀⠀⠀M.A. = Effort arm/Load arm

Solution :

By using the equation for mechanical advantage in case of a lever and substituting the values in it, we get :

⠀=> M.A. = Effort arm/Load arm

⠀=> M.A. = 40/4

⠀=> M.A. = 10

⠀∴ M.A. = 10

Therefore,

• The mechanical advantage of the lever, M.A. = 10.