The Displacement of a String Carrying a Traveling Sinusoidal Wave $\phi$

question 21

Multiple Choice

The displacement of a string carrying a traveling sinusoidal wave is given by At time t = 0 the point at x = 0 has velocity v₀ and displacement y₀. The phase constant $\phi$ is given by tan $\phi$ =:

• A) v₀/ \( \omega \)y₀
• B) \( \omega \)y₀/v₀
• C) \( \omega \)v₀/y₀
• D) y₀/ \( \omega \)v₀
• E) \( \omega \)v₀y₀

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Definitions:

Economies of Scale

The economic gains achieved by businesses because of their large scale, volume of production, or extent of operations, which usually results in a reduction in the cost per unit as the scale of operation grows.

Cost-output Elasticity

Cost-output elasticity measures the responsiveness of the cost of producing a good to a change in the output level, indicating how costs change as production scales.

Marginal Cost

The increase in expenditure resulting from the production of an additional unit of a good or service.

Short-run Cost Function

The relationship between the cost of production and the level of output when at least one input is fixed in the short term.