A length of nickel wire is subjected to a tension of 821 N. Determine the radius of the wire used if the wave speed of transverse waves moving along this wire is 185 m/s. Take the density of nickel to be 8.90 ✕ 103 kg/m3.

Explanation:

Given the following parameters;

Tension in the wire T = 821N

wave speed of the transverse wave v = 185m/s

density of nickel = 8.9*10³kg/m³

radius of the wire = ?

Using the relationship for finding the speed of the wave to first get the linear density;

where is the linear density

Also;

= mass m/Length L

Since mass m = density * volume

Since A = area of the wire =

Given

0.024 = 8.9*10³*3.14r²

0.024 = 27.946r²

r² = 0.024/27.964

r² = 8.6*10^-7

r =√8.6*10^-7

r = 9.27*10^-4m

Radius of the wire is 9.27*10^-4m

power out to power in less than 100%

answer; equivalent to a one(1) horsepower motor;