A wave has a wavelength of 3.0 m, a frequency of 25.0 Hz, and an amplitude of 14.0 cm. The wave travels in the positive x-direct
ion and has a displacement of zero at t = 0 and x = 0. How many complete oscillations has the wave made at t = 20.0 s and x = 4.2 m?
1 answer:
Answer:
The total number of oscillations made by the wave during the time of travel is 1.4 Oscillations. Strictly speaking, the number of complete oscillations is 1.
Explanation:
The required quantity is the number of complete oscillations made by the traveling wave. The amplitude time and frequency are not needed to calculate the number of oscillations as it is the ratio of the distance traveled to the wavelength( minimum distance that must be traveled to complete one oscillation) of the wave. So the total number of oscillations is 1.4 while the number of complete oscillations is 1 (strictly speaking). The detailed solution to this question can be found in the attachment below. Thank you!
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Answer:
(a) The resistor disspates 103680 joules during a 24-hour period.
(b) The heat flux of the resistor is approximately 4340.589 watts per square meter.
(c) The fraction of heat dissipated from the top and bottom surfaces is 0.045.
Explanation:
(a) The amount of heat dissipated (), measured in joules, by the cylindrical resistor is the power multiplied by operation time (
), measured in hours. That is:
(1)
If we know that and
, then the amount of heat dissipated by the resistor is:
The resistor disspates 103680 joules during a 24-hour period.
(b) The heat flux (), measured in watts per square meter, is the heat transfer rate divided by the area of the cylinder (
), measured in square meters:
(2)
(3)
Where:
- Diameter, measured in meters.
- Length, measured in meters.
If we know that ,
and
, the heat flux of the resistor is:
The heat flux of the resistor is approximately 4340.589 watts per square meter.
(c) Since heat is uniformly transfered, then the fraction of heat dissipated from the top and bottom surfaces (), no unit, is the ratio of the top and bottom surfaces to total surface:
(3)
If we know that and
, then the fraction is:
The fraction of heat dissipated from the top and bottom surfaces is 0.045.