Answer :
The speed of propagation of the transverse wave in the wire is 4800 cm/s. The tension in the wire is 15.71 N and the maximum transverse acceleration is 11,105,600 cm/s².
A transverse wave is a type of wave in which the particles of the medium move in a direction perpendicular to the direction of energy propagation. Examples of transverse waves include light, radio, and other types of electromagnetic waves.
The speed of propagation is the speed at which a signal travels through a medium, such as a wire, fiber optic cable, or radio wave.
(a) Speed of propagation of the transverse wave in the wire =
v = λf
= (80.0 cm) (60.0 Hz)
= 4800 cm/s
b)Tension in the wire = F/A
= m(ω² X A_max) / A
= (40.0 g)(2π² X 60² X 0.300 cm²) / (80.0 cm)²
= 15.71 N
(c) Maximum transverse velocity = A_max X ω
= 0.300 cm X 2π X 60 Hz
= 1842.4 cm/s
Maximum transverse acceleration = A_max X ω²
= 0.300 cm X (2π X 60)²
= 11,105,600 cm/s²
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