Final answer:
The question is about calculating the mass of fiber spun over time in a Physics context, but the provided options are incorrect. Mass is calculated from the linear density and the length of fiber produced, not diameter or time alone. For waves on strings, the wave speed depends on both the string's tension and linear mass density.
Step-by-step explanation:
The subject of the question is related to Physics, specifically involving concepts of waves on strings, linear mass density, and tension in strings. To calculate the mass of fiber that can be spun in a given time, none of the options provided (a, b, c, or d) are correct as the mass of a fiber is given by its linear density and the length of the fiber spun in the given time, which is not directly proportional to the diameter or time alone. The production time can be used to calculate total mass if the linear density is known.
Overall, to find the mass of a spun fiber over a period of time, the formula Mass = (Linear Mass Density) x (Length of Fiber) could be used, given that the length of the fiber produced in a given time can be determined.
Regarding the provided examples, the speed of a wave on a string can be calculated using the formula v = √(T/μ), where T is the tension in the string and μ is the linear mass density.