Question

With what tension must a rope with length 2.90m and mass 0.220kg be stretched for transverse waves of frequency 40.0Hz to have a wavelength of 0.930m ?

Answer 1

Answer 2

he universal wave equation is speed=wavelength*frequency
you have the frequency, you have the wavelength, so calculate what hte speed should be (ie. the speed is 44*0.7 so yeah i just told you the answer)

now there's another equation that says speed = square root of (tension divided by linear density)

linear density is mass per unit length (so linear density here is just 2.40/0.125)

Answer 3

$v=\sqrt{\frac{TL}{m}}$

$v=\lambda \nu$

$Hence,\sqrt{\frac{TL}{m}}=\lambda \nu$

$\Rightarrow T=\frac{\lambda ^{2}\nu ^{2}m}{L}$

$\Rightarrow T=\frac{0.930^{2}\times 40^{2}\times 0.220}{2.9}N$

$\Rightarrow \boldsymbol{T=104.98\; \; N}$

Answer 4