In the second activity, the string is vibrating on its third harmonic. The tensi
ID: 1496453 • Letter: I
Question
In the second activity, the string is vibrating on its third harmonic. The tension on the string is increased by adding different masses on the hook according to the data on Table 2. The respective frequency of oscillation of the third harmonic is determined by trial and error modifying the frequency of the mechanical wave driver. The length of the elastic rope from pulley to mechanical wave driver is kept constant to L=1.0 m Data are collected in the Table 2. Determine the following: a) Initial tension applied on the rope T0= b) c) Report the line of best fit on the graph. Write the value of the slope. SLOPE= d) What part of the Eq.1 does the slope of the graph represent? e) From the graph’s slope determine the linear mass density of the elastic rope and compare it with the given un-stretched rope linear mass density, = 4.4 g/m. (Be careful with the units). = % error = Table 2 Different total masses pulling down the rope and relative frequencies, f3. m (g) f (Hz) 100 25 150 28 200 31 250 35 300 38
Explanation / Answer
A) tension= mass*g
Average mass=(100+150+200+250+300)/5=200g
Tension=200*9.8=1960g*m/s^2=1.96kg*m/s^2
E) mass density= mass/ length=200/1=200g/m
Percentage error= true value*100/(calculated-true valve) = 4.4*100/(200-4.4)= 2.25%