Q3.10: Power Calculation w/ Reduction Gear

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Suman_babai
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Homework Statement

: [/B]
Qstn no. 3.10 in the attached image.

Printed textbook problem 3.10: a steam turbine drives a ship's propeller through an 8:1 reduction gear, with torque, power and speed values, and answers (a) T = 98.84 km N, (b) 14.235 MW, (c) 0.765 MW.

[ Moderator note: Copy of relevant portion of attachment inserted to make it visible here]

Homework Equations

: For power calculation, [/B]
Power = torque * angular velocity... Also, reduction gear is used to deliver lower outout speed at samd torque.

The Attempt at a Solution

: [/B]
I have tried the above equations and also correctly calculated the 1st ans(2nd attachment) but I can't calculate the 2nd and 3rd ans... I hv approached the second one but ans is not matching.. pls help... also please explain it.. as i am very weak in it...
 
Attachments
  • Photo of a printed textbook page showing problems 3.10 to 3.12 on a steam turbine driving a ship's propeller, a fluid in a cylinder, and an internal combustion engine, with answers in parentheses.
    1482219135110-834241603.jpg
    85.9 KB · Views: 444
  • Handwritten working for a turbine and propeller power calculation: P_turbine = τω, giving 15 = τ × 2π × 1450/60 and τ = 98.786 kN·m; then P_propeller = 98.786 × 2π × 1450/60 × 1/8 = 18.75 MW.
    1482220028136-2067728740.jpg
    38 KB · Views: 440
Last edited by a moderator:
Hello Suman, :welcome:

why not use the same expression for b) as you use for a) ? You have ##\tau## and you have ## \omega## !
 
BvU said:
Hello Suman, :welcome:

why not use the same expression for b) as you use for a) ? You have ##\tau## and you have ## \omega## !

Yes.. but.. what is the value uf torque here ?
BvU said:
Hello Suman, :welcome:

why not use the same expression for b) as you use for a) ? You have ##\tau## and you have ## \omega## !

Yes I know. But how can I get the torque? If it is the resisting torque of water, then where goes the torque given by the turbine shaft ? Or will it be the difference between the above mentioned torques ?
 
Suman_babai said:
If it is the resisting torque of water
For want of better you could start with that assumption ...
Suman_babai said:
where goes the torque given by the turbine shaft
That is a nice subject for part (c) :rolleyes:
 
BvU said:
For want of better you could start with that assumption ...
That is a nice subject for part (c) :rolleyes:

Ok I get the 2nd prt... and also the 3rd prt... thnks a lot.. but what is the significance of the 3rd part?
 
It's a giveaway: subtract 14.235 from 15. Too easy ! But it shows the gearbox needs cooling :smile:
 
BvU said:
It's a giveaway: subtract 14.235 from 15. Too easy ! But it shows the gearbox needs cooling :smile:
Yes I know the mathematical prt. I jst wanted to know to know its significance... thank you very very much.