Aroom is cooled by circulating chilled water through a heat exchanger located in the room. the air is circulated through the heat exchanger by a 0.25-hp (shaft output) fan. typical efficiency of small electric motors driving 0.25-hp equipment is 60 percent. determine the rate of heat supply by the fan–motor assembly to the room.

input power of the geothermal motor will be 0.4166 hP

Explanation:

We have given shaft output = 0.25 hP

hP is known as horse power which is unit of measuring the power of motor

Efficiency of motor is given as efficiency = 60 % = 0.6

We have to fond the heat supply by the fan motor Q

We know that efficiency of any motor is the ratio of shaft power and input power

So

So

So input power of the geothermal motor will be 0.4166 hP

x+2 because it just doubles hon so the pattern can actually tell you the expression.

so for example,

if x=2 then 2+2 is 4

if x=4 then 4+4 is 8

and so on and so forth.

i really hope that this makes sense and you out in a way hon: )