Question

In a machine, the radius of wheel is 0.8m and that of its axle is 0.83m. the machine is used to lift a 230N load with an applied force of 30N. Calculate the mechanical advantage and efficiency of the machine

Answer 1

M.A = 7.67

Efficiency = 795.64%

Step-by-step explanation:

Applying,

M.A = L/E............... Equation 1

Where M.A = Machanical Advantage, L = Load, E = Effort.

From the question,

Given: L = 230 N, E = 30 N

Substitute these values into equation 1

M.A = 230/30

M.A = 7.67

Also Applying

E = (M.A/V.R)×100............... Equation 2

Where E = Efficiency, M.A = Machanical Advantage, V.R = Velocity ratio

But,

V.R = R/r.............. Equation 3

Where R = radius of the wheel r = radius of the axle

From the question,

Given: R = 0.8 m r = 0.83 m

Substitute these values into equation 3

V.R = 0.8/0.83

V.R = 0.964

Substitute these values into equation 2

E = (7.67/0.964)×100

E = 795.64%