Final answer:
To find the tension in the string, use the formula Tension = (4 * Frequency^2 * mass per unit length * L^2). Plugging in the given values, we find a tension of 135.0 N.
Step-by-step explanation:
To find the tension in the string, we can use the formula:
Frequency = (1/2L) * sqrt(Tension / mass per unit length)
Given that the frequency is 220 Hz, the length is 71.0 cm (or 0.71 m), and the mass is 2.00 g (or 0.002 kg), we can rearrange the formula to solve for the tension:
Tension = (4 * Frequency^2 * mass per unit length * L^2)
Plugging in the values, we get:
Tension = (4 * 220^2 * 0.002 * 0.71^2)
Tension = 135.0 N
complete question:
The A string on a cello vibrates in its first normal mode with a frequency of 220 Hz. The vibrating segment is 71.0 cm long and has a mass of 2.00 a. (a). Find the tenslon in the string. X You appear to be using the masy of the string in place of the mass per unit length in your calculations, N (b) Detetmine the frequency of vibration when the string vibrates in three segments. X What is the recationship between the wavelength here and the wavelength in part (a) Hiz