Final answer:
The speed of a transverse wave on a string can be calculated using the formula: speed = √(tension / linear mass density). The frequency of the wave can be calculated using the formula: frequency = speed / wavelength.
Step-by-step explanation:
The speed of a transverse wave on a string can be calculated using the formula:
speed = √(tension / linear mass density)
From the given information, the tension of the string is 760.0 N and the length of the string is 1.7 m with a mass of 4.8 grams. To find the linear mass density, divide the mass by the length:
linear mass density = mass / length
Next, substitute the values into the formula for speed:
speed = √(760.0 / (0.0048 / 1.7))
Once the speed is determined, the frequency of the wave can be calculated using the formula:
frequency = speed / wavelength
Given that the wavelength is 0.50 m, substitute the values into the formula to find the frequency:
frequency = speed / 0.50