Respuesta :
Answer:
3.06 megawatts
Step-by-step explanation:
Firstly, we write the proportionality equation.
wind power varies directly as the square of the length r of one of the blades;
P ∝ r^2
Let’s introduce a constant of proportionality k; This means;
P = kr^2
Now let’s calculate the value of k when 1.5 megawatts and r is 35m
1.5 mw = 35^2 * k
k = 1.5/35^2 = 1.5/1225 = 0.001224489796 MW/m^2
Now we want to calculate the amount of megawatts to be produced by a turbine with 50m blades.
That would be;
P = 0.001224489796 * 50^2 = 3.06 megawatts
Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.
Given that P varies directly with r², if we introduce a constant of proportionality, k, the expression becomes
P = kr²
If P = 1.5 when r = 35, then
1.5 = k × 35²
k = 1.5/35² = 1.5/1225
Therefore, the direct variation function is
P = 1.5r²/1225
When r = 50, then
P = 1.5 × 50²/1225
P = 3.06 megawatt
