The efficiency of an electric motor is 80%. If it supplies 6 kW of rotational output power, calculate the amount of electrical input power consumed. (A)7.0kW (B)7.5 kW (C)8.0 kW (D)8.5 kW

Respuesta :

Answer:

(B)

[tex]\eta=7.5kW[/tex]

Explanation:

It is actually an easy problem, the energy efficiency is a dimensionless number, which is the report that indicates what can be recovered profitably from the machine from what has been spent to make it work. It is defined as:

[tex]\eta=\frac{P_o_u_t}{P_i_n}[/tex]

Where:

[tex]P_o_u_t=[/tex] Output power.

[tex]P_i_n=[/tex] Input power.

Replacing the data given by the problem:

[tex]0.8=\frac{6000}{P_i_n}[/tex]

Isolating [tex]P_i_n[/tex]

[tex]P_i_n=\frac{6000}{0.8} =7500W=7.5kW[/tex]