The horizontal distance from a crest to the nearest trough is measured to be 25 cm. A wave travelling at the same speed with twice the frequency of the given wave. This equation can be simplified by using the relationship between frequency and period.
Speed of a Transverse Wave on Stretched String The speed of transverse waves on a string depends on two main factors The linear mass density or mass per unit length m say The tension T of the string.
2F th mR2thv2 R or v F m 1 2 F th m R 2 th v 2 R 1 or v F m. The speed of a wave is proportional to the wavelength and indirectly proportional to the period of the wave. A non-dispersive system has the property that all waves travel with the same speed independent of the wavelength and frequency. V t ka 2 E r 12 Where v t Speed of Transverse Wave k Wave Number a Rod Radius E Young Modulus r Density.