Question

Challenge: Determine the speed of the waves at each tension setting (high, medium and low). Explain what measurements you made to calculate the speed. Settings: amplitude: 0.75 cm damping: zero high tension: medium tension: low tension:

Answer 1

To determine the speed of waves at different tension settings, calculate the linear mass density and tension of the string using the given formulas. Then use the formula v = √(FT/μ) to calculate the wave speed. Repeat for each tension setting.

Step-by-step explanation:

To determine the speed of waves at each tension setting, we need to calculate the wave speed using the linear mass density and tension of the string. In order to do this, we also need to know the amplitude and damping of the waves.

First, calculate the linear mass density by dividing the mass of the string by its length. Then, use the formula v = √(FT/μ) to calculate the wave speed, where FT is the tension in the string and μ is the linear mass density.

Repeat this calculation for each tension setting (high, medium, and low) to determine the speed of the waves at each setting.

Answer 2

high tension: 4.2 × 1.5 = 6.3 cm/s

medium tension: 2.8 ×1.5 = 4.2 cm/s

low tension: 0.8 × 1.5 = 1.2 cm/s

Explanation: Given Settings:

amplitude: 0.75 cm

damping: zero

Using

Speed = frequency ×wavelength

Where

Wavelength = 0.75 × 2 = 1.5 cm

Therefore:

high tension: 4.2 × 1.5 = 6.3 cm/s

medium tension: 2.8 ×1.5 = 4.2 cm/s

low tension: 0.8 × 1.5 = 1.2 cm/s