Understanding the Formula
The velocity (v) of a transverse wave in a string or wire is determined by the following formula:
v = √(T/μ)
Where:
* v is the velocity of the wave (m/s)
* T is the tension in the wire (N)
* μ is the linear mass density of the wire (kg/m)
Calculations
1. Linear Mass Density (μ):
* You're given that each meter of the wire has a mass of 10 grams (0.01 kg).
* Therefore, the linear mass density (μ) is 0.01 kg/m.
2. Tension (T):
* You're given the tension as 1200 N.
3. Calculate the Velocity (v):
* Substitute the values into the formula:
v = √(1200 N / 0.01 kg/m)
v = √(120000 m²/s²)
v = 346.41 m/s (approximately)
Therefore, the velocity of the transverse wave in the wire is approximately 346.41 meters per second.
