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A town is installing a new 10” main to carry drinking water. The only section remaining to be installed is a segment through the middle of town. However, the excavators discover an archaeological site. The town decides to split the main into two sections, each looping around the site and reconnecting at the other end. The mayor decrees that “the velocity in each branch around the site shall be equal”. The town lays 800 feet of 6” pipe to the north of the site and connects to the 10” main leading away from town. However, the town then finds out there is no more 6” pipe. Anywhere. The only pipe available is 8” pipe. The contractor, noting that “shall” is a legally binding term when a contract is signed, must lay the proper amount of 8” pipe such that the velocity in the two branches is the same. Determine: a) the length of 8” pipe required, b) if instead, 800 feet of 8” pipe is laid parallel to the 6” pipe, the minor loss coefficient, K, for a valve that must be placed in the 8” line to exactly cause the velocities in the two pipes to balance. Assume for purposes of solving this problem that turbulent flow exists and the resistance coefficients, f, for the 6” pipe and 8’ pipe are 0.023 and 0.019, respectively.
An iron tower in is 399 meters tall on a cold day (T = -6.7 degrees Celsius). What is its height of the tower on a hot day while the temperature is 31.5 degrees Celsius.
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An elastic cord is 66 cm long when a weight of 66 N hangs from it but is 86 cm long when a weight of 76 N hangs from it. What is the "spring" constant k of the elastic cord.
500 J of work are completed to compress the gas while, in the same process, 1400 J of heat energy are transferred from the gas to the environment. Afterward, what is the rms speed of the molecules.
The pilot of the spaceship measures the length of the moving ship as 30 meters. Establish its length as measured by a person on earth.
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A particle oscillates with S.H.M. The maximum displacement from its mean position is 0.5 meter and frequency of motion is 10 Hz. at time t=0, particle is located at 0.15 meter and has the velocity of 24.0 m/s towards the negative x-axis.
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