Find the power output of the osciallator - Please read the whole question

AI Thread Summary
To find the power output of the oscillator connected to a steel wire under tension, the relevant equation is P = 1/2 (m/L) (2πf)² A² v. To calculate m/L, the mass per unit length, the density of steel and the diameter of the wire must be used. Given the tension of 6.3 N and frequency of 63.0 Hz, the amplitude of the wave is 0.50 cm. If the frequency is doubled while keeping power constant, the new amplitude can be determined using the same power equation. Understanding these relationships is crucial for solving the problem accurately.
tavo0116
Messages
21
Reaction score
0
A small steel wire of diameter 1.4 mm is connected to an oscillator and is under a tension of 6.3 N . The frequency of the oscillator is 63.0 Hz and it is observed that the amplitude of the wave on the steel wire is 0.50 cm.

a)What is the power output of the oscillator, assuming that the wave is not reflected back?

b)If the power output stays constant but the frequency is doubled, what is the amplitude of the wave?

Which equation should I use?

Is the equation: P = 1/2 (m/L) (2pi f)^2 A^2 v correct?
If yes, how do I find m/L, f, A, and v?

Please help me to get started on this problem
 
Physics news on Phys.org
Please help !
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'
Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is(Figure 2): F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...

Similar threads

Back
Top