Solve the all parts of following problem:

Problem: You and a co-worker are charged with determining the Young's modulus of a new metal alloy. You are provided with a thin beam of the alloy which is 100 meters long. The density of this material has been measured to be 20 grams per cubic centimeter. Your co-worker goes to the opposite end of the beam with a hammer. A sensor is programmed to start counting as soon as the hammer strikes the beam and to stop when the sound wave propagates through to the other end of the beam.

Part A: Find Young's modulus if the sensor counts off a time of 0.1s.

Part B: Unfortunately, the internet is down and your boss can't check the weather. He tells the both of you to measure the temperature while you're outside working on your actual job. How will you be able to determine the air temperature using the beam, the hammer, and a timer? Assume neither of your changes your positions.

Part C: What is the air temperature if the time you measured in part b is 0.3047s?

Please show all intermediate steps and formulas.