Two MIT math graduates bump into each other at Fairway on the upper west side. They hadn't seen each other in over 20 years. The first grad says to the second: "how have you been?" Second: "Great! I got married and I have three daughters now" First: "Really? how old are they?" Second: "Well, the product of their ages is 72, and the sum of their ages is the same as the number on that building over there.." First: "Right, ok.. oh wait.. hmmmm.., I still don't know" second: "Oh sorry, the oldest one just started to play the piano" First: "Wonderful! my oldest is the same age!" Problem: How old are the daughters?
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A 15 kw squirrel cage motor having a maximum efficiency of 90% on a continuous full load has temperature rise of 42 degrees celcius after 30 min and 52 degrees celcius after 1 hr under the above operation conditions. a) calculate its final steady state temperature rise on continuous load and the heating time constatnt. b) if the motor is operated on a short load for 9 min estimate its temperature rise. c) calculate the maximum overload that can be applied on a short, 9 min rating so that the temperature rise is the same as the final steady state temperature rise on continuous load.
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