Answer:
The kinetic energy of the disk is 254.4 J.
Explanation:
The kinetic energy of the disk is given by:
The moment of inertia of the solid disk is:
The mass is:
Now, we need to find the angular acceleration as follows:
Also, the torque is related to the tangential force:
Now, we can find the angular speed:
since it is started from rest
Finally, the kinetic energy of the disk is:
Therefore, the kinetic energy of the disk is 254.4 J.
I hope it helps you!
Answer:
(a) the fundamental frequency of this string is 65 Hz
(b) the harmonics of the given frequencies are third and fourth respectively.
(c) the length of the string is 2.74 m
Explanation:
Given;
mass density of the string, μ = 3 x 10⁻³ kg/m
tension of the string, T = 380 N
resonating frequencies, 195 Hz and 260 N
For the given resonant frequencies;
(c) From any of the equations, solve for Length of the string (L);
(a) the fundamental frequency is calculated as;
(b) harmonics of the given frequencies;
the first harmonic (n = 1) = f₀ = 65 Hz
the second harmonic (n = 2) = 2f₀ = 130 Hz
the third harmonic (n = 3) = 3f₀ = 195 Hz
the fourth harmonic (n = 4) = 4f₀ = 260 Hz
Thus, the harmonics of the given frequencies are third and fourth respectively.