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A steel wire of length 1 m and density ...

A steel wire of length ` 1 m` and density `8000 kg//m^(3)` is stretched tightly between two rigid supports . When vibrating in its fundamental mode , its frequency is `200 Hz`.
a. What is the velocity of transverse wave along this wire ?
b. What is the longitudinal stress in the wire ?
c. If the maximum acceleration of the wire is `880 m//s^(2)`, what is the amplitude of vibration at the midpoint ?

Text Solution

Verified by Experts

The correct Answer is:
400 m/s
If velocity of waves on wire is v, we use fundamental frequencies
`n_(0) = (v)/(2l)`
`v = 2l n_(0) = 2 xx l xx 200 = 400 m//s`
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