(a) The speed of a wave on a string is given by the formula v = sqrt(T/μ), where T is the tension in the string and μ is the linear mass density of the string.

First, we need to calculate the linear mass density of the string, which is the mass of the string divided by its length.

μ = m/L = 0.0600 kg / 4.30 m = 0.01395 kg/m

Now we can use this value to find the tension in the string:

T = μv² = 0.01395 kg/m * (46.5 m/s)² = 30.02 N

So, the required tension in the string is approximately 30.02 N.

(b) If the tension is 8.00 N, we can use the same formula to find the wave speed:

v = sqrt(T/μ) = sqrt(8.00 N / 0.01395 kg/m) = 24.07 m/s

So, the wave speed in the string if the tension is 8.00 N is approximately 24.07 m/s.

Question

(a) The speed of a wave on a string is given by the formula v = sqrt(T/μ), where T is the tension in the string and μ is the linear mass density of the string.

First, we need to calculate the linear mass density of the string, which is the mass of the string divided by its length.

μ = m/L = 0.0600 kg / 4.30 m = 0.01395 kg/m

Now we can use this value to find the tension in the string:

T = μv² = 0.01395 kg/m * (46.5 m/s)² = 30.02 N

So, the required tension in the string is approximately 30.02 N.

(b) If the tension is 8.00 N, we can use the same formula to find the wave speed:

v = sqrt(T/μ) = sqrt(8.00 N / 0.01395 kg/m) = 24.07 m/s

So, the wave speed in the string if the tension is 8.00 N is approximately 24.07 m/s.

Knowee AI · Accepted Answer

(a) The speed of a wave on a string is given by the formula v = sqrt(T/μ), where T is the tension in the string and μ is the linear mass density of the string.

First, we need to calculate the linear mass density of the string, which is the mass of the string divided by its length.

μ = m/L = 0.0600 kg / 4.30 m = 0.01395 kg/m

Now we can use this value to find the tension in the string:

T = μv² = 0.01395 kg/m * (46.5 m/s)² = 30.02 N

So, the required tension in the string is approximately 30.02 N.

(b) If the tension is 8.00 N, we can use the same formula to find the wave speed:

v = sqrt(T/μ) = sqrt(8.00 N / 0.01395 kg/m) = 24.07 m/s

So, the wave speed in the string if the tension is 8.00 N is approximately 24.07 m/s.

Transverse waves with a speed of 46.5 m/s are to be produced on a stretched string. A 4.30-m length of string with a total mass of 0.0600 kg is used.(a) What is the required tension in the string? N(b) Calculate the wave speed in the string if the tension is 8.00 N. m/s

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