Question

 

1) You construct barometers using multiple types of liquid, for each of the following liquids determine the height that would indicate the barometric pressure to be .90 atm. Give all answers to 3 significant digits.

Part 1. Mercury = .684  m

Part 2. Ethanol = 11.5  m

Part 3. Water = 9.30 m

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2) 

A base guitar has 4 strings that are .86 m in length. Each need tuned to vibrate at a different frequency. And each have a mass per unit length of 3.32*10^-3 kg/m

String 1 - 41 Hz

String 2 - 55 Hz

String 3 - 73 Hz

String 4 - 98 Hz

Part 1. What tension must each be tightened to? Give your answers to 3 significant digits

String 1:  16.5 N

String 2:  29.7 N

String 3: 52.3 N

String 4: 94.3   N

Part 2. If instead you wish to tighten the strings such that they all have the same tension, 55 N, what must the mass per unit length of each string be? Give your answers in scientific notation with 3 significant digits

Example: 3.32*10^-3 or 3.32*10^(-3)

String 1:  1.11*10^(-2) kg/m

String 2: 6.15*10^(-3)  kg/m

String 3:  3.49*10^(-3) kg/m

String 4:  1.94*10^(-3) kg/m

PART 3: For the second part where the tension of every string is the same determine what you would expect the diameter of each of the strings to be.

Answer 1