A platinum wire that is 1.20 M long has a radius of 0.500 mm and
is fixed at both ends. In its third harmonic it vibrates at 512 Hz.
The density of platinum is 21.4 x 10^3 kg/m^3. What is the tension
in the wire?
m = pi*r^2*L*rho = 3.14*0.5^2*10^-6*1.2*21.4*10^3 = 0.0202
kg
f3 = (3/2*L)*sqrt(T*L/m)
T = (f3*2*L/3)^2*m/L
T = (512*2*1.2/3)^2*0.0202 / 1.2 = 2824 N
A platinum wire that is 1.20 M long has a radius of 0.500 mm and is fixed at both ends. In its third harmonic it vibrat...
A platinum wire that is 1.20 m long has a radius of 0.500 mm and is fixed at both ends. In its third harmonic it vibrates at 512 Hz. The density of platinum is 21.4 � 103 kg/m3. What is the tension in the wire? Answer 1.00 kN 1.41 kN 4.00 kN 2.00 kN 2.82 kN
The mass density of platinum is 21.4 × 103 kg/m3. A platinum wire with a radius of 0.500 mm, 1.20 m long,fixed at both ends has a frequency of vibration for its third harmonic equal to 512 Hz. What is the tension in thewire?
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