Question

How much power must a 24-volt generator furnish to a system which contains the following loads?

Unit........Rating
One motor (75 percent efficient)............................1/5 hp
Three position lights.................................20 watts each
One heating element.............................................5 amp
One anticollision light.............................................3 amp

(Note: 1 horsepower = 746 watts)

A. 402 watts.
B. 385 watts.
C. 450 watts.

Answer 1

The 24-volt generator must furnish at least 341.52 watts of power to the system.

Step-by-step explanation:

To calculate the total power required by the system, we need to find the power consumed by each load and add them up. Let's start by calculating the power consumed by the motor:

Power (in watts) = Efficiency of motor x Rated power of motor in horsepower x 746

Power = 0.75 x (1/5) x 746 = 89.52 watts

Next, let's calculate the power consumed by the three position lights:

Power = 20 watts x 3 lights = 60 watts

Then, we calculate the power consumed by the heating element:

Power = Voltage x Current = 24 volts x 5 amps = 120 watts

Finally, we calculate the power consumed by the anticollision light:

Power = Voltage x Current = 24 volts x 3 amps = 72 watts

Now, let's add up the powers of all the loads:

Total power = 89.52 watts + 60 watts + 120 watts + 72 watts = 341.52 watts

Therefore, the 24-volt generator must furnish at least 341.52 watts of power to the system.