Atransverse traveling wave on a taut wire has an amplitude of 0.200 mm and a frequency of 500 hz. it travels with a speed of 196 m/s. (a) write an equation in si units of the form y 5 a sin (kx 2 vt) for this wave. (b) the mass per unit length of this wire is 4.10 g/m. find the tension in the wire.

(a). The value of A, k and ω is , 16.02 rad/m and 3141.59 rad/s.

(b).  The tension in the wire is 157.5 N.

Explanation:

Given that,

Amplitude = 0.200 mm

Frequency = 500 Hz

Speed = 196 m/s

Mass per unit length = 4.10 g/m

Suppose we need to calculate the parameters A, k, and ω.

The equation given by

(a). We need to calculate the amplitude

Using formula of amplitude

We need to calculate the angular frequency

Using formula of angular frequency

We need to calculate the angular wave number

Using formula of angular wave number

Put the value into the formula

(b). We need to calculate the tension in the wire

Using formula of tension in the wire

Put the value into the formula

Hence, (a). The value of A, k and ω is , 16.02 rad/m and 3141.59 rad/s.

(b).  The tension in the wire is 157.5 N.