Torque and power in a geared sytem

[jmiersy]

Homework Statement

The problem is attached, I am only looking for guidance on a, I am most probably just completely over complicating this.

Homework Equations

p=T.2(pi).f

t= torque
f=frequency/rot/sec

The Attempt at a Solution

im just stuck on wether the power in shaft b is simply 95percent of the systems input power, or wether i calculate the torque in shaft a, and then calcualte the power in b and subtract a 5 percent from that. Thats what i tried however I got a power higher then the input. Please help.

 

[jmiersy]

p.s. thanks in advance.

 

[jmiersy]

so I am leaning towards the idea that power is simply .95 percent of the power supplied, meaning that the angular velocity and the torque are obviously different. am i on the right track of understanding this?

 

[jmiersy]

so assuming that this is correct, i then attempted b.
it asks for max torque in shaft b, max torque occurs at max power.
max power occurs when 2444 rpm.
40/208 = .1923 rotations to every one of the small gear
x by 2444
/60
= 7.8 rots/sec of the large gear.
so
p=T.2(pi).f
28.5x10^3=T.2(pi).7.833
T=579.07 nm

does this look correct?

thanks for input.