PhysicsLAB: Test Scenario: Vibrating String

Refer to the following information for the next nine questions.

A string is being vibrated at a fixed frequency so that the illustrated standing wave pattern is created. The maximum amplitude of the standing wave is Y = 15.0 cm, the frequency of the vibration is 10.0 Hz. and the distance between the end points of the string is L = 3.0 meters.

What is the wavelength of this wave?

What is the speed of the waves in this string?

What is this harmonic's order?

What fundamental frequency would generate resonance in this string?

What frequency would be needed to generate the 3rd harmonic on this string?

Suppose that you were to increase the amplitude of the standing wave to 30.0 cm. How would the energy content of the standing wave be changed?

Could a resonance pattern be created if the driving frequency is changed to 25 Hz?

How would using a rope having twice the string's linear density affect the experiment?

How would increasing the tension in the string by a factor of 9 affect its frequency?