Answer:
(i) The wavelength is 0.985 m
(ii) The frequency of the wave is 36.84 Hz
Explanation:
Given;
mass of the string, m = 0.0133 kg
tensional force on the string, T = 8.89 N
length of the string, L = 1.97 m
Velocity of the wave is:
(i) The wavelength:
Fourth harmonic of a string with two nodes, the wavelength is given as,
L = 2λ
λ = L/2
λ = 1.97 / 2
λ = 0.985 m
(ii) Frequency of the wave is:
v = fλ
f = v / λ
f = 36.29 / 0.985
f = 36.84 Hz
Not sure if you are saying the acceleration is positive or negative?
The equation you would use would be v=u+at, where v=final velocity u=initial velocity a=acceleration t=time. Using this if the acceleration is 2.51m/s^2:
v=2.98+(2.51*1.6)
v=6.996m/s
If the acceleration is -2.51 m/s^2:
v=2.98+(2.51*1.6)
v=-1.036m/s
Answer:
Explanation:
Assuming this problem: "Carbon dioxide enters an adiabatic nozzle at 1200 K with a velocity of 50 m/s and leaves at 400 K. Assuming constant specific heats at room temperature, determine the Mach number (a) at the inlet and (b) at the exit of the nozzle. Assess the accuracy of the constant specific heat assumption."
Part a
For this case we can assume at the inlet we have the following properties:
We can calculate the Mach number with the following formula:
Where k represent the specific ratio given k =1.288 and R would be the universal gas constant for the carbon diaxide given by:
And if we replace we got:
Part b
For this case we can use the same formula:
And we can obtain the value of v2 from the total energy of adiabatic flow process, given by this equation:
The value of and the value fo T2 = 400 K so we can solve for and we got:
And now we can replace on this equation:
And we got:
To solve this we assume
that the gas inside the balloon is an ideal gas. Then, we can use the ideal gas
equation which is expressed as PV = nRT. At a constant pressure and number of
moles of the gas the ratio T/V is equal to some constant. At another set of
condition of temperature, the constant is still the same. Calculations are as
follows:
T1 / V1 = T2 / V2
V2 = T2 x V1 / T1
V2 = 308 K x 556 cm³ / 278 K
<span>V2 = 616 cm</span><span>³</span>