Assuming that the speed 'v' of a wave passing through a string depends on the force in which the string is pulled 'F' the linear density ( mass/length) of the string 'N' using dimensional analysis obtain a formula for 'V' can it be the final formula ? why?
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Use the velocity equation to find the speed: v=√FTμ=√56.40N3.09×10−4kg/m=427.23m/s.
The tension would need to be increased by a factor of approximately 20. ...
Use the velocity equation to find the actual tension: FT=μv2=(5.78×10−3kg/m)(427.23m/s)2=1055.00N.
This solution is within 7% of the approximation
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