An electric motor operating at steady state draws a current of 20 amp at a voltage of 110 v. the output shaft rotates at a constant speed of 2000 rpm and exerts a torque of 9.07 n middot m. determine the input power, in w. the output power, in w. the cost of 24 hours of operation if electricity is valued at $0.09 per kw middot h.

Input power = 2200 w

Output power = 1899.7 w

Cost = $ 4.752

Explanation:

Assuming a Direct Current scenario, electric input power is calculated by:

Where  

Pi is Power in watts (w)

V is voltage in volts (v)

I is current in amperes (a)

Then, the formula for output power is

Where  

Po is Power in watts (w)

T is torque in NM (v)

S is speed in RPM (rpm)

9.5488 is used to convert rpm unit to rad/sec unit

Finally, to calculate the cost of operation, we simply multiply the input power, total hours of operation and value per hour:

Where  

CO is cost of operation in $

Pi is Power in watts (w)

H is operation time in hours (hs)

C is value per kw per hour (kwh)

1000 is used to convert watts unit to kilowatts unit

$

it can either be 2. or 4. : ) tell me if i'm wrong or right

okay, so i know we just goofed around in that chat, but ive been like genuinly depressed, like medically depressed for almost 4 years now. i had my first panic attack when i was 8. i woke my mum up and told her i felt like i was in a dream. like i was a goldfish in a bowl, looking at all these things going on around me and feeling . tiny. wort hless. and i now am now 17 y/o. i still feel those emotions daily. life used to go by so quick.like every day i would wake up and just like want to go back to bed cause i always felt like i was in the wrong place. i guess looking back, i was in the wrong state of mind. i took a expensive like nice trip to whyoming with my grandfather and ha ted it. like idk why. i would have loved it now, but i found myself writing in a journal everyday because i would forget what happened the day before, couldnt remember what i ate for like the previous meal. just my memory left me for the week i was there. worst feeling ive ever experienced.