Question

Find an expression in terms of m, μ, and θ for the speed of waves on the string.

Answer 1

The speed of waves on a string is calculated using the formula v = √(FT/μ), where v is wave speed, FT is the tension in the string, and μ is the linear mass density. Insert given values into the formula to obtain the speed.

Step-by-step explanation:

To find an expression for the speed of waves on a string, we can use the formula that relates the wave speed (v) to the tension (FT) in the string and the linear mass density (μ) of the string. The general formula is:

v = √(FT/μ)

Given that tension (FT) is provided and we know the linear mass density (μ), simply insert these values into the formula. For example, if the tension in the string is 300 N and the linear mass density is 0.035 kg/m, the wave speed (v) can be calculated as follows:

v = √(300 N / 0.035 kg/m)

After calculating the square root, you would obtain the wave speed on the string.