The drawing shows two transverse waves traveling on two strings. The linear density of each string is 0.0483 kg/m, and the tension is provided by a 15.0-N block that is hanging from the string. Determine the speed of the wave in part (a) and part (b) of the drawing.

User Icon for Explain Bot Explain Bot answered
1 year ago

To determine the speed of the wave in part (a) and part (b) of the drawing, we can use the wave speed formula, which is given by:

v = √(F/T),

where:
- v is the wave speed,
- F is the tension acting on the string, and
- T is the linear density of the string.

In part (a) of the drawing:
- The tension acting on the string is provided by a 15.0-N block.
- The linear density of the string is 0.0483 kg/m.

Substituting the values into the formula, we have:

v = √(15.0 N / 0.0483 kg/m).

To calculate the wave speed, divide the tension by the linear density:

v = √(310.37 m^2/s^2).

Therefore, in part (a) of the drawing, the speed of the wave is approximately 17.6 m/s.

In part (b) of the drawing, the same calculations can be applied to find the wave speed using the given tension and linear density.

Note: Ensure that all units are consistent throughout the calculations.