Answer:
1.41 °
Explanation:
From machine,
The formula for the efficiency of machine is
E(%) = (M.A/V.R)×100................. Equation 1
Where E(%) = Percentage Efficiency of the machine, M.A = Mechanical Advantage of the machine, V.R = Velocity ratio of the machine.
Note: A slope forms an an inclined plane with the horizontal
Make V.R the subject of the equation
V.R = 100M.R/E(%)................. Equation 2
But,
M.A = L/E......................... Equation 3
Where Load, E = Effort.
Given: E = 3.00×10² N, L = 1.22×10⁴ N
Substitute into equation 3
M.A = 1.22×10⁴ / 3.00×10²
M.A = 40.7.
Note: Assuming no friction means that the efficiency of the inclined plane(slope) = 100 %
Hence, E(%) = 100 %
Substitute into equation 2
V.R = 100(40.7)/100
V.R = 40.7.
The velocity of an inclined plane is
V.R = 1/sin∅........................... Equation 4
Where ∅ = maximum angle that the slope makes with the horizontal.
make ∅ the subject of the equation
∅ = sin⁻¹(1/V.R)................... Equation 5
Substitute the value of V.R into equation 5
∅ = sin⁻¹(1/40.7)
∅ = sin⁻¹(0.0246)
∅ = 1.41 °
