A wire with mass 40.0 g is stretched so that its ends are tied down at points 80.0 cm apart.The wire vibrates in its fundamental mode with frequency 60.0 Hz and with an amplitude at the antinodes of 0.300 cm. (a) What is the speed of propagation of transverse wave in the wire? Compute the tension in the wire. (c) Find the maximum transverse velocity and acceleration of particles in the wire.

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(ω^2 *A_max) / A

= (40.0 g)(2π^2*60^2*0.300 cm^2) / (80.0 cm)^2

= 15.71 N

(c) Maximum transverse velocity = A_max*ω

= 0.300 cm * 2π*60 Hz

= 1842.4 cm/s

Maximum transverse acceleration = A_max*ω^2

= 0.300 cm * (2π*60)^2

= 11,105,600 cm/s^2

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