unit6mathassgn.docx - PHY 1001 Unit Six Motion Mathematical...

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PHY 1001 Unit Six – Motion Mathematical Assignment 1. A wave is sent back and forth along a rope 4 m long with a mass of 0.6 kg by exerting a force a force of 30 N. Calculate the linear mass density of the rope (in kg/m). Key Idea Stock of Data and M= 0.6 kg and length l =4m The Linear mass density depends only on the length and mass of the rope and it does not depends upon the force Solution Linear density is ρ = M/ l = 0.6 / 4 = 0.15 kg / m Sanity Check ρ = 0.15 kg/ m 2. A 3 Hz wave has a wavelength of 0.4 m. Calculate the speed of the wave (in m/s). Key Idea Stock of Data and calculate the speed of wave by using the formula: v = λν wavelength λ = 0.4 m ,frequency ν = 3 Hz = 3 (1/s) Solution v = λν = 0.4 ( 3 ) = 1.2 m/s Sanity Check v=1.2m/s 3. A wave travels at 60 m/s and has a wavelength of 2.8 m. Calculate the wave frequency (in Hertz). Key Idea Stock of Data and To calculate the frequency of a wave
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Frequency ν = v /λ wavelength λ = 2.8 m velocity v = 60m/s Solution ν = v/ λ = 60 / 2.8 ≈ 21.43 Hz Sanity Check ν =21.43 Hz 4. Calculate the wavelength (in m) of the note middle "C" (frequency = 256 Hz) in air at room
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